
Introductory Statistics (2nd Edition)
2nd Edition
ISBN: 9780321978271
Author: Robert Gould, Colleen N. Ryan
Publisher: PEARSON
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Chapter 9, Problem 92CRE
a .
To determine
Make descriptive comparison of the sample means.
b .
To determine
Test whether the population means of Target and Whole Foods is significantly different using a significance level of
c.
To determine
Explain whether
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In order to find probability, you can use this formula in Microsoft Excel:
The best way to understand and solve these problems is by first drawing a bell curve and marking key points such as x, the mean, and the areas of interest. Once marked on the bell curve, figure out what calculations are needed to find the area of interest.
=NORM.DIST(x, Mean, Standard Dev., TRUE).
When the question mentions “greater than” you may have to subtract your answer from 1.
When the question mentions “between (two values)”, you need to do separate calculation for both values and then subtract their results to get the answer.
1.
Compute the probability of a value between 44.0 and 55.0.
(The question requires finding probability value between 44 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 44, calculate probability value.
In the second step repeat the first step with the only difference that x=55.
In the third step, subtract the answer of the first part from the…
If a uniform distribution is defined over the interval from 6 to 10, then answer the followings:
What is the mean of this uniform distribution?
Show that the probability of any value between 6 and 10 is equal to 1.0
Find the probability of a value more than 7.
Find the probability of a value between 7 and 9.
The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $20 and $30 per share. What is the probability that the stock price will be:
More than $27?
Less than or equal to $24?
The April rainfall in Flagstaff, Arizona, follows a uniform distribution between 0.5 and 3.00 inches.
What is the mean amount of rainfall for the month?
What is the probability of less than an inch of rain for the month?
What is the probability of exactly 1.00 inch of rain?
What is the probability of more than 1.50 inches of rain for the month?
The best way to solve this problem is begin by creating a chart. Clearly mark the range, identifying the lower and upper…
Problem 1:
The mean hourly pay of an American Airlines flight attendant is normally distributed with a mean of 40 per hour and a standard deviation of 3.00 per hour. What is the probability that the hourly pay of a randomly selected flight attendant is:
Between the mean and $45 per hour?
More than $45 per hour?
Less than $32 per hour?
Problem 2:
The mean of a normal probability distribution is 400 pounds. The standard deviation is 10 pounds.
What is the area between 415 pounds and the mean of 400 pounds?
What is the area between the mean and 395 pounds?
What is the probability of randomly selecting a value less than 395 pounds?
Problem 3:
In New York State, the mean salary for high school teachers in 2022 was 81,410 with a standard deviation of 9,500. Only Alaska’s mean salary was higher. Assume New York’s state salaries follow a normal distribution.
What percent of New York State high school teachers earn between 70,000 and 75,000?
What percent of New York State high school…
Chapter 9 Solutions
Introductory Statistics (2nd Edition)
Ch. 9 - Ages A study of all the students at a small...Ch. 9 - Units A survey of 100 random full-time students at...Ch. 9 - Exam Scores The distribution of the scores on a...Ch. 9 - Exam Scores The distribution of the scores on a...Ch. 9 - Prob. 5SECh. 9 - Cellphone Calls Answers.com claims that the mean...Ch. 9 - Retirement Income Several times during the year,...Ch. 9 - Time Employed A human resources manager for a...Ch. 9 - Prob. 9SECh. 9 - Prob. 10SE
Ch. 9 - Babies Weights (Example 2) Some sources report...Ch. 9 - Babies’ Weights, Again Some sources report that...Ch. 9 - Prob. 13SECh. 9 - Prob. 14SECh. 9 - CLT Shapes (Example 4) One of the histograms is a...Ch. 9 - Prob. 16SECh. 9 - Prob. 17SECh. 9 - Student Ages The mean age of all 2550 students at...Ch. 9 - Prob. 19SECh. 9 - Prob. 20SECh. 9 - Prob. 21SECh. 9 - Prob. 22SECh. 9 - Prob. 23SECh. 9 - Random Numbers If you take samples of 40 lines...Ch. 9 - t* (Example 8) A researcher collects one sample of...Ch. 9 - t* A researcher collects a sample of 25...Ch. 9 - Hamburgers (Example 9) A hamburger chain sells...Ch. 9 - Drinks A fast-food chain sells drinks that it...Ch. 9 - Men’s Pulse Rates (Example 10) A random sample of...Ch. 9 - Prob. 30SECh. 9 - Prob. 31SECh. 9 - Prob. 32SECh. 9 - Confidence Interval Changes State whether each of...Ch. 9 - Confidence Interval Changes State whether each of...Ch. 9 - Potatoes The weights of four randomly and...Ch. 9 - Tomatoes The weights of four randomly and...Ch. 9 - Human Body Temperatures (Example 12) A random...Ch. 9 - Reaction Distance Data on the disk and website...Ch. 9 - Potatoes Use the data from exercise 9.35. a. If...Ch. 9 - Tomatoes Use the data from exercise 9.36. a. Using...Ch. 9 - Cholesterol In the U.S. Department of Health has...Ch. 9 - BMI A body mass index (BMI) of more than 25 is...Ch. 9 - Male Height In the United States, the population...Ch. 9 - Vegetarians' Weights The mean weight of all...Ch. 9 - GPAs Thirty GPAs from a randomly selected sample...Ch. 9 - Prob. 46SECh. 9 - GPAs Using the data from Exercise 9.45 on GPAs,...Ch. 9 - Prob. 48SECh. 9 - Atkins Diet Difference Ten people went on an...Ch. 9 - Pulse Difference The following numbers are the...Ch. 9 - Student Ages Suppose that 200 statistics students...Ch. 9 - Presidents’ Ages at Inauguration A 95 confidence...Ch. 9 - Prob. 53SECh. 9 - Prob. 54SECh. 9 - Televisions: CI (Example 14) Minitab output is...Ch. 9 - Pulse and Gender: CI Using data from NHANES, we...Ch. 9 - Televisions (Example 15) The table shows the...Ch. 9 - Pulse Rates Using data from NHANES, we looked at...Ch. 9 - Triglycerides Triglycerides are a form of fat...Ch. 9 - Systolic Blood Pressures When you have your blood...Ch. 9 - Triglycerides, Again Report and interpret the 95...Ch. 9 - Blood Pressures, Again Report and interpret the 95...Ch. 9 - Clothes Spending A random sample of 14 college...Ch. 9 - College Athletes’ Weights A random sample of male...Ch. 9 - Prob. 65SECh. 9 - College Athletes’ Weights In exercise 9.64, you...Ch. 9 - Textbook Prices, UCSB vs. CSUN (Example 16) The...Ch. 9 - Textbook Prices. OC vs. CSUN The prices of a...Ch. 9 - Females’ Pulse Rates before and after a Fright...Ch. 9 - Males’ Pulse Rates before and after a Fright...Ch. 9 - Organic Food A student compared organic food...Ch. 9 - Smoking Mothers The birth weights of 35 babies...Ch. 9 - Ages of Brides and Grooms Data for the ages of...Ch. 9 - Surfers Surfers and statistics students Rex...Ch. 9 - Self-Reported Heights of Men (Example 18) A random...Ch. 9 - Eating Out Jacqueline Loya, a statistics student,...Ch. 9 - 9.77, 9.79, and 9.80 For these questions, the data...Ch. 9 - Prob. 78SECh. 9 - 9.77, 9.79, and 9.80 For these questions, the data...Ch. 9 - 9.77, 9.79, and 9.80 For these questions, the data...Ch. 9 - Choose a test for each situation: one-sample...Ch. 9 - Choose a t-test for each situation: one-sample...Ch. 9 - Cones: 3 Tests A McDonald’s fact sheet says its...Ch. 9 - Prob. 84CRECh. 9 - Brain Size Brain size for 20 random women and 20...Ch. 9 - Prob. 86CRECh. 9 - Heart Rate before and after Coffee Elena Lucin, a...Ch. 9 - Exam Grades The final exam grades for a sample of...Ch. 9 - Hours of Television Viewing The number of hours...Ch. 9 - Reaction Distances Reaction distances in...Ch. 9 - Shift Sleep Hours A survey was done comparing the...Ch. 9 - Prob. 92CRECh. 9 - Maximum Tax Rate A random sample of 10 Democrats...Ch. 9 - Prob. 94CRECh. 9 - Groceries The table shows the prices of identical...Ch. 9 - Parents The following table shows the heights (in...Ch. 9 - Why Is n1 in the Sample Standard Deviation? Why do...Ch. 9 - Prob. 98CRECh. 9 - Construct two sets of body temperatures (in...Ch. 9 - Construct heights for 3 or more sets of twins (6...
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