Elementary Statistics: Picturing the World (7th Edition)
7th Edition
ISBN: 9780134683416
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Chapter 5.5, Problem 31E
Testing a Drug A drug manufacturer claims that a drug cures a rare skin disease 75% of the time. The claim is checked by resting the drug on 100 patients. If at least 70 patients are cured, then this claim will be accepted. Use this information in Exercises 31 and 32.
31. Find the
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Students have asked these similar questions
(a) Test the hypothesis.
Consider the hypothesis test Ho
=
:
against H₁o < 02. Suppose that the sample sizes aren₁ =
7 and n₂
= 13 and that
$²
= 22.4 and $22
= 28.2. Use α = 0.05.
Ho
is not
✓ rejected.
9-9
IV
(b) Find a 95% confidence interval on of 102. Round your answer to two decimal places (e.g. 98.76).
Let us suppose we have some article reported on a study of potential sources of injury to equine veterinarians conducted at a
university veterinary hospital. Forces on the hand were measured for several common activities that veterinarians engage in when
examining or treating horses. We will consider the forces on the hands for two tasks, lifting and using ultrasound. Assume that both
sample sizes are 6, the sample mean force for lifting was 6.2 pounds with standard deviation 1.5 pounds, and the sample mean force
for using ultrasound was 6.4 pounds with standard deviation 0.3 pounds. Assume that the standard deviations are known.
Suppose that you wanted to detect a true difference in mean force of 0.25 pounds on the hands for these two activities. Under the null
hypothesis, 40 = 0. What level of type II error would you recommend here?
Round your answer to four decimal places (e.g. 98.7654). Use a
= 0.05.
β
= i
What sample size would be required?
Assume the sample sizes are to be equal.…
=
Consider the hypothesis test Ho: μ₁ = μ₂ against H₁ μ₁ μ2. Suppose that sample sizes are n₁ =
15 and n₂ =
15, that x1 = 4.7
and X2 = 7.8 and that s² = 4 and s² = 6.26. Assume that o and that the data are drawn from normal distributions. Use
απ 0.05.
(a) Test the hypothesis and find the P-value.
(b) What is the power of the test in part (a) for a true difference in means of 3?
(c) Assuming equal sample sizes, what sample size should be used to obtain ẞ = 0.05 if the true difference in means is - 2? Assume
that α = 0.05.
(a) The null hypothesis is
98.7654).
rejected. The P-value is 0.0008
(b) The power is 0.94
. Round your answer to four decimal places (e.g.
Round your answer to two decimal places (e.g. 98.76).
(c) n₁ = n2 =
1
. Round your answer to the nearest integer.
Chapter 5 Solutions
Elementary Statistics: Picturing the World (7th Edition)
Ch. 5.1 - 1. Which normal curve has the greatest mean? 2....Ch. 5.1 - The scaled test scores for the New York State...Ch. 5.1 - A U.S. adult who is at least 20 years old is...Ch. 5.1 - Find the area under the standard normal curve to...Ch. 5.1 - Find the area under the standard normal curve to...Ch. 5.1 - Find the area under the standard normal curve...Ch. 5.1 - Find three real-life examples of a continuous...Ch. 5.1 - In a normal distribution, which is greater, the...Ch. 5.1 - What is the total area under the normal curve?Ch. 5.1 - What do the inflection points on a normal...
Ch. 5.1 - Draw two normal curves that have the same mean but...Ch. 5.1 - Draw two normal curves that have different means...Ch. 5.1 - What is the mean of the standard normal...Ch. 5.1 - Describe how you can transform a nonstandard...Ch. 5.1 - Getting at the Concept Why is it correct to say a...Ch. 5.1 - Getting at the Concept A z-score is 0. Which of...Ch. 5.1 - Graphical Analysis In Exercises 1116, determine...Ch. 5.1 - Graphical Analysis In Exercises 1116, determine...Ch. 5.1 - Graphical Analysis In Exercises 1116, determine...Ch. 5.1 - Graphical Analysis In Exercises 1116, determine...Ch. 5.1 - Graphical Analysis In Exercises 1116, determine...Ch. 5.1 - Graphical Analysis In Exercises 1116, determine...Ch. 5.1 - Finding Area In Exercises 1722, find the area of...Ch. 5.1 - Finding Area In Exercises 1722, find the area of...Ch. 5.1 - Finding Area In Exercises 1722, find the area of...Ch. 5.1 - Finding Area In Exercises 1722, find the area of...Ch. 5.1 - Finding Area In Exercises 1722, find the area of...Ch. 5.1 - Finding Area In Exercises 1722, find the area of...Ch. 5.1 - Finding Area In Exercises 2336, find the indicated...Ch. 5.1 - Finding Area In Exercises 2336, find the indicated...Ch. 5.1 - Finding Area In Exercises 2336, find the indicated...Ch. 5.1 - Finding Area In Exercises 2336, find the indicated...Ch. 5.1 - Finding Area In Exercises 2336, find the indicated...Ch. 5.1 - Finding Area In Exercises 2336, find the indicated...Ch. 5.1 - Finding Area In Exercises 2336, find the indicated...Ch. 5.1 - Finding Area In Exercises 2336, find the indicated...Ch. 5.1 - Finding Area In Exercises 2336, find the indicated...Ch. 5.1 - Finding Area In Exercises 2336, find the indicated...Ch. 5.1 - Finding Area In Exercises 2336, find the indicated...Ch. 5.1 - Finding Area In Exercises 2336, find the indicated...Ch. 5.1 - Finding Area In Exercises 2336, find the indicated...Ch. 5.1 - Finding Area In Exercises 2336, find the indicated...Ch. 5.1 - Manufacturer Claims You work for a consumer...Ch. 5.1 - Milk Consumption You are performing a study about...Ch. 5.1 - Computing and Interpreting z-Scores In Exercises...Ch. 5.1 - Computing and Interpreting z-Scores In Exercises...Ch. 5.1 - Finding Probability In Exercises 4146, find the...Ch. 5.1 - Finding Probability In Exercises 4146, find the...Ch. 5.1 - Finding Probability In Exercises 4146, find the...Ch. 5.1 - Finding Probability In Exercises 4146, find the...Ch. 5.1 - Finding Probability In Exercises 4146, find the...Ch. 5.1 - Finding Probability In Exercises 4146, find the...Ch. 5.1 - Finding Probability In Exercises 4756, find the...Ch. 5.1 - Finding Probability In Exercises 4756, find the...Ch. 5.1 - Finding Probability In Exercises 4756, find the...Ch. 5.1 - Finding Probability In Exercises 4756, find the...Ch. 5.1 - Finding Probability In Exercises 4756, find the...Ch. 5.1 - Finding Probability In Exercises 4756, find the...Ch. 5.1 - Finding Probability In Exercises 4756, find the...Ch. 5.1 - Finding Probability In Exercises 4756, find the...Ch. 5.1 - Finding Probability In Exercises 4756, find the...Ch. 5.1 - Finding Probability In Exercises 4756, find the...Ch. 5.1 - Writing Draw a normal curve with a mean of 60 and...Ch. 5.1 - Writing Draw a normal curve with a mean of 450 and...Ch. 5.1 - Prob. 59ECh. 5.1 - Uniform Distribution A uniform distribution is a...Ch. 5.2 - The average speed of vehicles traveling on a...Ch. 5.2 - What is the probability that the shopper in...Ch. 5.2 - Find the cumulative area that corresponds to a...Ch. 5.2 - Computing Probabilities for Normal Distributions...Ch. 5.2 - Computing Probabilities for Normal Distributions...Ch. 5.2 - Computing Probabilities for Normal Distributions...Ch. 5.2 - Computing Probabilities for Normal Distributions...Ch. 5.2 - Computing Probabilities for Normal Distributions...Ch. 5.2 - Computing Probabilities for Normal Distributions...Ch. 5.2 - Finding Probabilities for Normal Distributions In...Ch. 5.2 - Finding Probabilities for Normal Distributions In...Ch. 5.2 - Finding Probabilities for Normal Distributions In...Ch. 5.2 - Finding Probabilities for Normal Distributions In...Ch. 5.2 - Finding Probabilities for Normal Distributions In...Ch. 5.2 - Finding Probabilities for Normal Distributions In...Ch. 5.2 - Graphical Analysis In Exercises 1316, a member is...Ch. 5.2 - Graphical Analysis In Exercises 1316, a member is...Ch. 5.2 - Graphical Analysis In Exercises 1316, a member is...Ch. 5.2 - Graphical Analysis In Exercises 1316, a member is...Ch. 5.2 - Using Normal Distributions In Exercises 1720,...Ch. 5.2 - Using Normal Distributions In Exercises 1720,...Ch. 5.2 - Using Normal Distributions In Exercises 1720,...Ch. 5.2 - Using Normal Distributions In Exercises 1720,...Ch. 5.2 - In Exercises 2124, a control chart is shown. Each...Ch. 5.2 - In Exercises 2124, a control chart is shown. Each...Ch. 5.2 - In Exercises 2124, a control chart is shown. Each...Ch. 5.2 - In Exercises 2124, a control chart is shown. Each...Ch. 5.3 - 1. Find the z-score that has 96.16% of the...Ch. 5.3 - Find the z-score that corresponds to each...Ch. 5.3 - A veterinarian records the weights of dogs treated...Ch. 5.3 - A researcher tests the braking distances of...Ch. 5.3 - The lengths of time employees have worked at a...Ch. 5.3 - Finding a z-Score In Exercises 116, use the...Ch. 5.3 - Finding a z-Score In Exercises 116, use the...Ch. 5.3 - Prob. 3ECh. 5.3 - Finding a z-Score In Exercises 116, use the...Ch. 5.3 - Prob. 5ECh. 5.3 - Prob. 6ECh. 5.3 - Prob. 7ECh. 5.3 - Finding a z-Score In Exercises 116, use the...Ch. 5.3 - Prob. 9ECh. 5.3 - Finding a z-Score In Exercises 116, use the...Ch. 5.3 - Finding a z-Score In Exercises 116, use the...Ch. 5.3 - Finding a z-Score In Exercises 116, use the...Ch. 5.3 - Prob. 13ECh. 5.3 - Prob. 14ECh. 5.3 - Prob. 15ECh. 5.3 - Prob. 16ECh. 5.3 - Graphical Analysis In Exercises 1722, find the...Ch. 5.3 - Graphical Analysis In Exercises 1722, find the...Ch. 5.3 - Prob. 19ECh. 5.3 - Graphical Analysis In Exercises 1722, find the...Ch. 5.3 - Graphical Analysis In Exercises 1722, find the...Ch. 5.3 - Graphical Analysis In Exercises 1722, find the...Ch. 5.3 - Finding a z-Score Given an Area In Exercises 2330,...Ch. 5.3 - Finding a z-Score Given an Area In Exercises 2330,...Ch. 5.3 - Finding a z-Score Given an Area In Exercises 2330,...Ch. 5.3 - Finding a z-Score Given an Area In Exercises 2330,...Ch. 5.3 - Finding a z-Score Given an Area In Exercises 2330,...Ch. 5.3 - Finding a z-Score Given an Area In Exercises 2330,...Ch. 5.3 - Find the positive z-score for which 80% of the...Ch. 5.3 - Find the positive z-score for which 12% of the...Ch. 5.3 - Finding Specified Data Values In Exercises 3138,...Ch. 5.3 - Finding Specified Data Values In Exercises 3138,...Ch. 5.3 - Finding Specified Data Values In Exercises 3138,...Ch. 5.3 - Finding Specified Data Values In Exercises 3138,...Ch. 5.3 - Undergraduate Grade Point Average The...Ch. 5.3 - GRE Scores The test scores for the analytical...Ch. 5.3 - Finding Specified Data Values In Exercises 3138,...Ch. 5.3 - Finding Specified Data Values In Exercises 3138,...Ch. 5.3 - Bags of Baby Carrots The weights of bags of baby...Ch. 5.3 - Writing a Guarantee You sell a brand of automobile...Ch. 5.3 - Vending Machine A vending machine dispenses coffee...Ch. 5.3 - History Grades In a large section of a history...Ch. 5.3 - CASE STUDY Birth Weights in America The National...Ch. 5.3 - CASE STUDY Birth Weights in America The National...Ch. 5.3 - CASE STUDY Birth Weights in America The National...Ch. 5.3 - CASE STUDY Birth Weights in America The National...Ch. 5.3 - Prob. 5CSCh. 5.4 - List all possible samples of size n = 3. with...Ch. 5.4 - Random samples of size 64 are drawn from the...Ch. 5.4 - The diameters of fully grown white oak trees are...Ch. 5.4 - You randomly select 100 drivers ages 16 to 19 from...Ch. 5.4 - The average sales price of a single-family house...Ch. 5.4 - A consumer price analyst claims that prices for...Ch. 5.4 - In Exercises 14, a population has a mean and a...Ch. 5.4 - In Exercises 14, a population has a mean and a...Ch. 5.4 - In Exercises 14, a population has a mean and a...Ch. 5.4 - In Exercises 14, a population has a mean and a...Ch. 5.4 - True or False? In Exercises 58, determine whether...Ch. 5.4 - True or False? In Exercises 58, determine whether...Ch. 5.4 - True or False? In Exercises 58, determine whether...Ch. 5.4 - True or False? In Exercises 58, determine whether...Ch. 5.4 - Graphical Analysis In Exercises 9 and 10, the...Ch. 5.4 - Graphical Analysis In Exercises 9 and 10, the...Ch. 5.4 - A Sampling Distribution of Sample Means In...Ch. 5.4 - A Sampling Distribution of Sample Means In...Ch. 5.4 - A Sampling Distribution of Sample Means In...Ch. 5.4 - A Sampling Distribution of Sample Means In...Ch. 5.4 - Finding Probabilities In Exercises 1518, the...Ch. 5.4 - Finding Probabilities In Exercises 1518, the...Ch. 5.4 - Finding Probabilities In Exercises 1518, the...Ch. 5.4 - Finding Probabilities In Exercises 1518, the...Ch. 5.4 - Interpreting the Central Limit Theorem In...Ch. 5.4 - Interpreting the Central Limit Theorem In...Ch. 5.4 - Interpreting the Central Limit Theorem In...Ch. 5.4 - Interpreting the Central Limit Theorem In...Ch. 5.4 - Interpreting the Central Limit Theorem In...Ch. 5.4 - Interpreting the Central Limit Theorem In...Ch. 5.4 - Interpreting the Central Limit Theorem In...Ch. 5.4 - Interpreting the Central Limit Theorem In...Ch. 5.4 - Repeat Exercise 19 for samples of size 40 and 60....Ch. 5.4 - Repeat Exercise 20 for samples of size 72 and 108....Ch. 5.4 - Finding Probabilities for Sampling Distributions...Ch. 5.4 - Finding Probabilities for Sampling Distributions...Ch. 5.4 - Finding Probabilities for Sampling Distributions...Ch. 5.4 - Finding Probabilities for Sampling Distributions...Ch. 5.4 - Which Is More Likely? Assume that the childhood...Ch. 5.4 - Which Is More Likely? Assume that the carbon...Ch. 5.4 - Paint Cans A machine is set to fill paint cans...Ch. 5.4 - Milk Containers A machine is set to fill milk...Ch. 5.4 - Finding Probabilities for Sampling Distributions...Ch. 5.4 - Finding Probabilities for Sampling Distributions...Ch. 5.4 - In Exercises 39 and 40, determine whether the...Ch. 5.4 - In Exercises 39 and 40, determine whether the...Ch. 5.4 - Sampling Distribution of Sample Proportions For a...Ch. 5.4 - Sampling Distribution of Sample Proportions For a...Ch. 5.4 - Run the simulation using n = 30 and N = 10 for a...Ch. 5.4 - Run the simulation using n = 50 and N = 10 for a...Ch. 5.5 - A binomial experiment is listed. Determine whether...Ch. 5.5 - Use a continuity correction to convert each...Ch. 5.5 - In a survey of adults in the United States, 29%...Ch. 5.5 - In Example 4, what is the probability that at most...Ch. 5.5 - The study in Example 5 found that 32.0% of all men...Ch. 5.5 - In Exercises 14, the sample size n,. probability...Ch. 5.5 - In Exercises 14, the sample size n,. probability...Ch. 5.5 - Prob. 3ECh. 5.5 - Prob. 4ECh. 5.5 - In Exercises 5-8, match the binomial probability...Ch. 5.5 - In Exercises 5-8, match the binomial probability...Ch. 5.5 - In Exercises 5-8, match the binomial probability...Ch. 5.5 - In Exercises 5-8, match the binomial probability...Ch. 5.5 - In Exercises 9-14, write the binomial probability...Ch. 5.5 - In Exercises 9-14, write the binomial probability...Ch. 5.5 - In Exercises 9-14, write the binomial probability...Ch. 5.5 - In Exercises 9-14, write the binomial probability...Ch. 5.5 - In Exercises 9-14, write the binomial probability...Ch. 5.5 - In Exercises 9-14, write the binomial probability...Ch. 5.5 - Graphical Analysis In Exercises 15 and 16, write...Ch. 5.5 - Graphical Analysis In Exercises 15 and 16, write...Ch. 5.5 - Approximating a Binomial Distribution In Exercises...Ch. 5.5 - Approximating a Binomial Distribution In Exercises...Ch. 5.5 - Approximating Binomial Probabilities In Exercises...Ch. 5.5 - Approximating Binomial Probabilities In Exercises...Ch. 5.5 - Approximating Binomial Probabilities In Exercises...Ch. 5.5 - Approximating Binomial Probabilities In Exercises...Ch. 5.5 - Approximating Binomial Probabilities In Exercises...Ch. 5.5 - Approximating Binomial Probabilities In Exercises...Ch. 5.5 - Approximating Binomial Probabilities In Exercises...Ch. 5.5 - Approximating Binomial Probabilities In Exercises...Ch. 5.5 - Minimum Wage About 3.3% of hourly paid U.S....Ch. 5.5 - Education A survey of U.S. adults found that 8%...Ch. 5.5 - Getting Physical The figure shows the results of a...Ch. 5.5 - Getting Physical The figure shows the results of a...Ch. 5.5 - Testing a Drug A drug manufacturer claims that a...Ch. 5.5 - Testing a Drug A drug manufacturer claims that a...Ch. 5 - Is It Unusual? A population is normally...Ch. 5 - Find the Error The mean age of students at a high...Ch. 5 - Give an example of a distribution that might be...Ch. 5 - In Exercises I and 2, use the normal curve to...Ch. 5 - In Exercises I and 2, use the normal curve to...Ch. 5 - In Exercises 3 and 4, use the normal curves shown...Ch. 5 - Prob. 5.1.4RECh. 5 - In Exercises 5 and 6, find the area of the...Ch. 5 - In Exercises 5 and 6, find the area of the...Ch. 5 - In Exercises 7-18, find the indicated area under...Ch. 5 - In Exercises 7-18, find the indicated area under...Ch. 5 - In Exercises 7-18, find the indicated area under...Ch. 5 - In Exercises 7-18, find the indicated area under...Ch. 5 - In Exercises 7-18, find the indicated area under...Ch. 5 - In Exercises 7-18, find the indicated area under...Ch. 5 - In Exercises 7-18, find the indicated area under...Ch. 5 - In Exercises 7-18, find the indicated area under...Ch. 5 - In Exercises 7-18, find the indicated area under...Ch. 5 - In Exercises 7-18, find the indicated area under...Ch. 5 - In Exercises 7-18, find the indicated area under...Ch. 5 - In Exercises 7-18, find the indicated area under...Ch. 5 - The scores for the reading portion of the ACT test...Ch. 5 - The scores for the reading portion of the ACT test...Ch. 5 - In Exercises 21-26, find the indicated probability...Ch. 5 - In Exercises 21-26, find the indicated probability...Ch. 5 - In Exercises 21-26, find the indicated probability...Ch. 5 - In Exercises 21-26, find the indicated probability...Ch. 5 - In Exercises 21-26, find the indicated probability...Ch. 5 - In Exercises 21-26, find the indicated probability...Ch. 5 - In Exercises 2732, the random variable x is...Ch. 5 - In Exercises 2732, the random variable x is...Ch. 5 - In Exercises 2732, the random variable x is...Ch. 5 - In Exercises 2732, the random variable x is...Ch. 5 - In Exercises 2732, the random variable x is...Ch. 5 - In Exercises 2732, the random variable x is...Ch. 5 - In Exercises 33 and 34, find the indicated...Ch. 5 - In Exercises 33 and 34, find the indicated...Ch. 5 - Determine whether any of the events in Exercise 33...Ch. 5 - Determine whether any of the events in Exercise 34...Ch. 5 - In Exercises 3742, use the Standard Normal Table...Ch. 5 - In Exercises 3742, use the Standard Normal Table...Ch. 5 - In Exercises 3742, use the Standard Normal Table...Ch. 5 - In Exercises 3742, use the Standard Normal Table...Ch. 5 - In Exercises 3742, use the Standard Normal Table...Ch. 5 - In Exercises 3742, use the Standard Normal Table...Ch. 5 - In Exercises 3742, use the Standard Normal Table...Ch. 5 - In Exercises 3742, use the Standard Normal Table...Ch. 5 - On a dry surface, the braking distances (in feet),...Ch. 5 - On a dry surface, the braking distances (in feet),...Ch. 5 - Prob. 5.3.47RECh. 5 - On a dry surface, the braking distances (in feet),...Ch. 5 - On a dry surface, the braking distances (in feet),...Ch. 5 - Prob. 5.3.50RECh. 5 - In Exercises 51 and 52, a population and sample...Ch. 5 - In Exercises 51 and 52, a population and sample...Ch. 5 - Prob. 5.4.53RECh. 5 - Prob. 5.4.54RECh. 5 - In Exercises 5560, find the indicated...Ch. 5 - In Exercises 5560, find the indicated...Ch. 5 - In Exercises 5560, find the indicated...Ch. 5 - In Exercises 5560, find the indicated...Ch. 5 - Prob. 5.4.59RECh. 5 - Prob. 5.4.60RECh. 5 - Prob. 5.5.61RECh. 5 - Prob. 5.5.62RECh. 5 - In Exercises 63-68, write the binomial probability...Ch. 5 - In Exercises 63-68, write the binomial probability...Ch. 5 - In Exercises 63-68, write the binomial probability...Ch. 5 - In Exercises 63-68, write the binomial probability...Ch. 5 - In Exercises 63-68, write the binomial probability...Ch. 5 - Prob. 5.5.68RECh. 5 - In Exercises 69 and 70, determine whether you can...Ch. 5 - In Exercises 69 and 70, determine whether you can...Ch. 5 - Find each probability using the standard normal...Ch. 5 - The random variable x is normally distributed with...Ch. 5 - In a standardized IQ test, scores are normally...Ch. 5 - In a standardized IQ test, scores are normally...Ch. 5 - In a standardized IQ test, scores are normally...Ch. 5 - In a standardized IQ test, scores are normally...Ch. 5 - In a standardized IQ test, scores are normally...Ch. 5 - In a standardized IQ test, scores are normally...Ch. 5 - In a standardized IQ test, scores are normally...Ch. 5 - Are you more likely to randomly select one person...Ch. 5 - In a survey of U.S. adults, 16% say they have had...Ch. 5 - In a survey of U.S. adults, 16% say they have had...Ch. 5 - Prob. 1CTCh. 5 - In Exercises 2-4, the random variable x is...Ch. 5 - In Exercises 2-4, the random variable x is...Ch. 5 - In Exercises 2-4, the random variable x is...Ch. 5 - In Exercises 5 and 6. determine whether you can...Ch. 5 - In Exercises 5 and 6. determine whether you can...Ch. 5 - The per capita disposable income for residents of...Ch. 5 - The per capita disposable income for residents of...Ch. 5 - The per capita disposable income for residents of...Ch. 5 - The per capita disposable income for residents of...Ch. 5 - EXERCISES 1. Sampling Individuals Assume the...Ch. 5 - Sampling Groups of Five Assume the machine shifts...Ch. 5 - Writing an Explanation Write a paragraph to your...Ch. 5 - A survey of adults in the United States found that...Ch. 5 - Prob. 2CRCh. 5 - In Exercises 2 and 3, find the (a) mean, (b)...Ch. 5 - Use the probability distribution in Exercise 3 to...Ch. 5 - From a pool of 16 candidates, 9 men and 7 women,...Ch. 5 - In Exercises 6-11, find the indicated area under...Ch. 5 - In Exercises 6-11, find the indicated area under...Ch. 5 - In Exercises 6-11, find the indicated area under...Ch. 5 - In Exercises 6-11, find the indicated area under...Ch. 5 - Prob. 10CRCh. 5 - In Exercises 6-11, find the indicated area under...Ch. 5 - Twenty-eight percent of U.S. adults think that...Ch. 5 - Prob. 13CRCh. 5 - Prob. 14CRCh. 5 - A survey of adults in the United States found that...Ch. 5 - The life spans of car batteries are normally...Ch. 5 - A florist has 12 different flowers from which...Ch. 5 - Seventy percent of U.S. adults anticipate major...
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- 1. Differentiate between discrete and continuous random variables, providing examples for each type. 2. Consider a discrete random variable representing the number of patients visiting a clinic each day. The probabilities for the number of visits are as follows: 0 visits: P(0) = 0.2 1 visit: P(1) = 0.3 2 visits: P(2) = 0.5 Using this information, calculate the expected value (mean) of the number of patient visits per day. Show all your workings clearly. Rubric to follow Definition of Random variables ( clearly and accurately differentiate between discrete and continuous random variables with appropriate examples for each) Identification of discrete random variable (correctly identifies "number of patient visits" as a discrete random variable and explains reasoning clearly.) Calculation of probabilities (uses the probabilities correctly in the calculation, showing all steps clearly and logically) Expected value calculation (calculate the expected value (mean)…arrow_forwardif the b coloumn of a z table disappeared what would be used to determine b column probabilitiesarrow_forwardConstruct a model of population flow between metropolitan and nonmetropolitan areas of a given country, given that their respective populations in 2015 were 263 million and 45 million. The probabilities are given by the following matrix. (from) (to) metro nonmetro 0.99 0.02 metro 0.01 0.98 nonmetro Predict the population distributions of metropolitan and nonmetropolitan areas for the years 2016 through 2020 (in millions, to four decimal places). (Let x, through x5 represent the years 2016 through 2020, respectively.) x₁ = x2 X3 261.27 46.73 11 259.59 48.41 11 257.96 50.04 11 256.39 51.61 11 tarrow_forward
- If the average price of a new one family home is $246,300 with a standard deviation of $15,000 find the minimum and maximum prices of the houses that a contractor will build to satisfy 88% of the market valuearrow_forward21. ANALYSIS OF LAST DIGITS Heights of statistics students were obtained by the author as part of an experiment conducted for class. The last digits of those heights are listed below. Construct a frequency distribution with 10 classes. Based on the distribution, do the heights appear to be reported or actually measured? Does there appear to be a gap in the frequencies and, if so, how might that gap be explained? What do you know about the accuracy of the results? 3 4 555 0 0 0 0 0 0 0 0 0 1 1 23 3 5 5 5 5 5 5 5 5 5 5 5 5 6 6 8 8 8 9arrow_forwardA side view of a recycling bin lid is diagramed below where two panels come together at a right angle. 45 in 24 in Width? — Given this information, how wide is the recycling bin in inches?arrow_forward
- 1 No. 2 3 4 Binomial Prob. X n P Answer 5 6 4 7 8 9 10 12345678 8 3 4 2 2552 10 0.7 0.233 0.3 0.132 7 0.6 0.290 20 0.02 0.053 150 1000 0.15 0.035 8 7 10 0.7 0.383 11 9 3 5 0.3 0.132 12 10 4 7 0.6 0.290 13 Poisson Probability 14 X lambda Answer 18 4 19 20 21 22 23 9 15 16 17 3 1234567829 3 2 0.180 2 1.5 0.251 12 10 0.095 5 3 0.101 7 4 0.060 3 2 0.180 2 1.5 0.251 24 10 12 10 0.095arrow_forwardstep by step on Microssoft on how to put this in excel and the answers please Find binomial probability if: x = 8, n = 10, p = 0.7 x= 3, n=5, p = 0.3 x = 4, n=7, p = 0.6 Quality Control: A factory produces light bulbs with a 2% defect rate. If a random sample of 20 bulbs is tested, what is the probability that exactly 2 bulbs are defective? (hint: p=2% or 0.02; x =2, n=20; use the same logic for the following problems) Marketing Campaign: A marketing company sends out 1,000 promotional emails. The probability of any email being opened is 0.15. What is the probability that exactly 150 emails will be opened? (hint: total emails or n=1000, x =150) Customer Satisfaction: A survey shows that 70% of customers are satisfied with a new product. Out of 10 randomly selected customers, what is the probability that at least 8 are satisfied? (hint: One of the keyword in this question is “at least 8”, it is not “exactly 8”, the correct formula for this should be = 1- (binom.dist(7, 10, 0.7,…arrow_forwardKate, Luke, Mary and Nancy are sharing a cake. The cake had previously been divided into four slices (s1, s2, s3 and s4). What is an example of fair division of the cake S1 S2 S3 S4 Kate $4.00 $6.00 $6.00 $4.00 Luke $5.30 $5.00 $5.25 $5.45 Mary $4.25 $4.50 $3.50 $3.75 Nancy $6.00 $4.00 $4.00 $6.00arrow_forward
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