Intro Stats
4th Edition
ISBN: 9780321826275
Author: Richard D. De Veaux
Publisher: PEARSON
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Chapter 19.4, Problem 3JC
To determine
Whether the sample of 500 people will lead to a z-statistic that large.
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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 19 Solutions
Intro Stats
Ch. 19.4 - 1. An experiment to test the fairness of a...Ch. 19.4 - Prob. 2JCCh. 19.4 - Prob. 3JCCh. 19.5 - Remember the bank thats sending out DVDs to try to...Ch. 19.5 - Prob. 5JCCh. 19.5 - For the bank, which situation has higher power: a...Ch. 19 - Parameters and hypotheses For each of the...Ch. 19 - Prob. 2ECh. 19 - P-values Which of the following are true? If...Ch. 19 - Prob. 4E
Ch. 19 - Prob. 5ECh. 19 - Prob. 6ECh. 19 - Prob. 7ECh. 19 - Prob. 8ECh. 19 - Prob. 9ECh. 19 - More critical values For each of the following...Ch. 19 - SECTION 16.4 11. Errors For each of the following...Ch. 19 - More errors For each of the following situations,...Ch. 19 - Prob. 13ECh. 19 - 14. Which alternative? In each of the following...Ch. 19 - CHAPTER EXERCISES 13. P-value A medical researcher...Ch. 19 - Prob. 16ECh. 19 - Alpha A researcher developing scanners to search...Ch. 19 - Prob. 18ECh. 19 - Prob. 19ECh. 19 - Significant again? A new reading program may...Ch. 19 - Prob. 21ECh. 19 - Is the Euro fair? Soon after the Euro was...Ch. 19 - 23. Approval 2011 In November 2011, Barack Obama’s...Ch. 19 - Prob. 24ECh. 19 - Prob. 25ECh. 19 - Prob. 26ECh. 19 - Prob. 27ECh. 19 - Prob. 28ECh. 19 - Prob. 29ECh. 19 - Prob. 30ECh. 19 - 31. Homeowners 2009 In 2009, the U.S. Census...Ch. 19 - Alzheimers Testing for Alzheimers disease can be a...Ch. 19 - Prob. 33ECh. 19 - Quality control Production managers on an assembly...Ch. 19 - Prob. 35ECh. 19 - 36. Production Consider again the task of the...Ch. 19 - Equal opportunity? A company is sued for job...Ch. 19 - Stop signs Highway safety engineers test new road...Ch. 19 - Prob. 39ECh. 19 - Ads A company is willing to renew its advertising...Ch. 19 - 41. Software, part II 203 students signed up for...Ch. 19 - Prob. 42ECh. 19 - Prob. 43ECh. 19 - Catheters During an angiogram, heart problems can...Ch. 19 - Prob. 45ECh. 19 - Prob. 46ECh. 19 - Prob. 47ECh. 19 - Faulty or not? You are in charge of shipping...Ch. 19 - Prob. 49ECh. 19 - Prob. 50E
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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
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