Intro STATS, Books a la Carte Plus New Mystatlab with Pearson Etext -- Access Card Package
4th Edition
ISBN: 9780321869852
Author: Richard D. De Veaux
Publisher: PEARSON
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Chapter 20, Problem 24E
To determine
Explain the reason why the two proportion z-test is not appropriate for this situation.
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A normal distribution has a mean of 50 and a standard deviation of 4. Solve the following three parts?
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 answer of the second part.)
2. Compute the probability of a value greater than 55.0.
Use the same formula, x=55 and subtract the answer from 1.
3. Compute the probability of a value between 52.0 and 55.0.
(The question requires finding probability value between 52 and 55. Solve it in 3 steps.
In the first step, use the above formula and x = 52, 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 a step by step creating a chart. Clearly mark the range, identifying the…
Client
1
Weight before
diet (pounds)
Weight after
diet (pounds)
128
120
2
131
123
3
140
141
4
178
170
5
121
118
6
136
136
7
118
121
8
136
127
Chapter 20 Solutions
Intro STATS, Books a la Carte Plus New Mystatlab with Pearson Etext -- Access Card Package
Ch. 20.3 - A public broadcasting station plans to launch a...Ch. 20.3 - Prob. 2JCCh. 20.4 - Prob. 3JCCh. 20.4 - Prob. 4JCCh. 20.5 - Prob. 5JCCh. 20.5 - Prob. 6JCCh. 20.5 - Prob. 7JCCh. 20.5 - Prob. 8JCCh. 20.6 - Prob. 9JCCh. 20.6 - Recall the experiment comparing patients 4 weeks...
Ch. 20.6 - Prob. 11JCCh. 20 - Canada Suppose an advocacy organization surveys...Ch. 20 - Non-profits Do people who work for non-profit...Ch. 20 - Prob. 3ECh. 20 - Prob. 4ECh. 20 - Canada, deux The information in Exercise 1 was...Ch. 20 - Prob. 6ECh. 20 - Prob. 7ECh. 20 - Prob. 8ECh. 20 - Prob. 9ECh. 20 - Prob. 10ECh. 20 - Prob. 11ECh. 20 - Prob. 12ECh. 20 - Prob. 13ECh. 20 - Athlete ages, again Using the summary statistics...Ch. 20 - Prob. 15ECh. 20 - Athlete ages, ninth inning The researchers in...Ch. 20 - Prob. 17ECh. 20 - Athlete ages, overtime Repeat the test you did in...Ch. 20 - Prob. 19ECh. 20 - Prob. 20ECh. 20 - Prob. 21ECh. 20 - Prob. 22ECh. 20 - Prob. 23ECh. 20 - Prob. 24ECh. 20 - Prob. 25ECh. 20 - Prob. 26ECh. 20 - Prob. 27ECh. 20 - Graduation The U.S. Department of Commerce...Ch. 20 - Prob. 29ECh. 20 - Carpal tunnel The painful wrist condition called...Ch. 20 - Prob. 31ECh. 20 - Prob. 32ECh. 20 - Ear infections A new vaccine was recently tested...Ch. 20 - Anorexia The Journal of the American Medical...Ch. 20 - Prob. 35ECh. 20 - Prob. 36ECh. 20 - Teen smoking A Vermont study published by the...Ch. 20 - Depression A study published in the Archives of...Ch. 20 - Birthweight The Journal of the American Medical...Ch. 20 - Politics and sex One month before the election, a...Ch. 20 - Prob. 41ECh. 20 - Prob. 42ECh. 20 - Pain Researchers comparing the effectiveness of...Ch. 20 - Gender gap Candidates for political office realize...Ch. 20 - Prob. 45ECh. 20 - Prob. 46ECh. 20 - Sensitive men In the same article from Exercise...Ch. 20 - Carbs Recently, the Gallup Poll asked 1005 U.S....Ch. 20 - Food preference GfK Roper Consulting gathers...Ch. 20 - Prob. 50ECh. 20 - Hot dogs In the July 2007 issue, Consumer Reports...Ch. 20 - Prob. 52ECh. 20 - Prob. 53ECh. 20 - Prob. 54ECh. 20 - Hot dogs, last one In Exercise 53, we saw a 90%...Ch. 20 - Third load of wash In Exercise 54, we saw a 98%...Ch. 20 - Prob. 57ECh. 20 - Prob. 58ECh. 20 - Prob. 59ECh. 20 - Prob. 60ECh. 20 - Commuting A man who moves to a new city sees that...Ch. 20 - Pulse rates A researcher wanted to see whether...Ch. 20 - 63. View of the water How much extra is having a...Ch. 20 - New construction The house sales we looked at in...Ch. 20 - Cereal sugar The data below show the sugar content...Ch. 20 - Prob. 66ECh. 20 - Prob. 67ECh. 20 - Prob. 68ECh. 20 - Prob. 69ECh. 20 - Prob. 70ECh. 20 - Prob. 71ECh. 20 - Prob. 72ECh. 20 - Prob. 73ECh. 20 - Prob. 74ECh. 20 - Prob. 75ECh. 20 - Ad campaign You are a consultant to the marketing...Ch. 20 - Prob. 77ECh. 20 - Thirsty? Researchers randomly assigned...Ch. 20 - Prob. 79ECh. 20 - Prob. 80ECh. 20 - 81. Running heats In Olympic running events,...Ch. 20 - Prob. 82ECh. 20 - Tees Does it matter what kind of tee a golfer...Ch. 20 - Golf again Given the test results on golf tees...Ch. 20 - Music and memory Is it a good idea to listen to...Ch. 20 - Rap Using the results of the experiment described...
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- Client 1 Weight before diet (pounds) Weight after diet (pounds) 128 120 2 131 123 3 140 141 4 178 170 5 121 118 6 136 136 7 118 121 8 136 127 a) Determine the mean change in patient weight from before to after the diet (after – before). What is the 95% confidence interval of this mean difference?arrow_forwardIn 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…arrow_forwardIf 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…arrow_forward
- 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…arrow_forwardPls help asaparrow_forwardSolve the following LP problem using the Extreme Point Theorem: Subject to: Maximize Z-6+4y 2+y≤8 2x + y ≤10 2,y20 Solve it using the graphical method. Guidelines for preparation for the teacher's questions: Understand the basics of Linear Programming (LP) 1. Know how to formulate an LP model. 2. Be able to identify decision variables, objective functions, and constraints. Be comfortable with graphical solutions 3. Know how to plot feasible regions and find extreme points. 4. Understand how constraints affect the solution space. Understand the Extreme Point Theorem 5. Know why solutions always occur at extreme points. 6. Be able to explain how optimization changes with different constraints. Think about real-world implications 7. Consider how removing or modifying constraints affects the solution. 8. Be prepared to explain why LP problems are used in business, economics, and operations research.arrow_forward
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