STATS:DATA+MODELS-MY LAB ACC >CUSTOM<
21st Edition
ISBN: 9780137643127
Author: DeVeaux
Publisher: PEARSON
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Chapter 16, Problem 22E
To determine
Explain exactly what the statement “estimate has a margin of error of about 3%” means.
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Suppose the Internal Revenue Service reported that the mean tax refund for the year 2022 was $3401. Assume the standard deviation is $82.5 and that the amounts refunded follow a normal probability distribution. Solve the following three parts? (For the answer to question 14, 15, and 16, start with making a bell curve. Identify on the bell curve where is mean, X, and area(s) to be determined.
1.What percent of the refunds are more than $3,500?
2. What percent of the refunds are more than $3500 but less than $3579?
3. What percent of the refunds are more than $3325 but less than $3579?
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…
Chapter 16 Solutions
STATS:DATA+MODELS-MY LAB ACC >CUSTOM<
Ch. 16.2 - 1. You want to poll a random sample of 100...Ch. 16.2 - Prob. 2JCCh. 16.2 - Prob. 3JCCh. 16.3 - Prob. 4JCCh. 16.3 - Prob. 5JCCh. 16.3 - Prob. 6JCCh. 16.3 - Prob. 7JCCh. 16.3 - Prob. 8JCCh. 16.5 - Prob. 9JCCh. 16.5 - Prob. 10JC
Ch. 16.5 - Think some more about the 95% confidence interval...Ch. 16 - Prob. 1ECh. 16 - 2. Marketing The proportion of adult women in the...Ch. 16 - Prob. 3ECh. 16 - Prob. 4ECh. 16 - 5. Living online Pew Research, in 2015, polled a...Ch. 16 - 6. How’s life? Gallup regularly conducts a poll...Ch. 16 - 7. Marriage According to a Pew Research survey,...Ch. 16 - 8. Campus sample For her final project, Stacy...Ch. 16 - Prob. 9ECh. 16 - Prob. 10ECh. 16 - Prob. 11ECh. 16 - 12. Soup A machine is supposed to fill cans with...Ch. 16 - Prob. 13ECh. 16 - 14. Spanking In a 2015 Pew Research study on...Ch. 16 - Prob. 15ECh. 16 - 16. Smoking The Gallup poll described in Exercise...Ch. 16 - Prob. 17ECh. 16 - Prob. 18ECh. 16 - Prob. 19ECh. 16 - 20. Hiring In preparing a report on the economy,...Ch. 16 - Prob. 21ECh. 16 - Prob. 22ECh. 16 - Prob. 23ECh. 16 - 24. More conditions Consider each situation...Ch. 16 - Prob. 25ECh. 16 - 26. More conclusions In January 2002, two students...Ch. 16 - Prob. 27ECh. 16 - 28. Confidence intervals, again Several factors...Ch. 16 - Prob. 29ECh. 16 - Prob. 30ECh. 16 - 31. Mislabeled seafood In 2013 the environmental...Ch. 16 - Prob. 32ECh. 16 - Prob. 33ECh. 16 - 34. Still living online The Pew Research poll...Ch. 16 - Prob. 35ECh. 16 - 36. Take the offer First USA, a major credit card...Ch. 16 - Prob. 37ECh. 16 - 38. Junk mail Direct mail advertisers send...Ch. 16 - Prob. 39ECh. 16 - 40. Local news The mayor of a small city has...Ch. 16 - Prob. 41ECh. 16 - 42. Gambling A city ballot includes a local...Ch. 16 - Prob. 43ECh. 16 - 44. Teachers A 2011 Gallup poll found that 76% of...Ch. 16 - Prob. 45ECh. 16 - Prob. 46ECh. 16 - Prob. 47ECh. 16 - 48. Back to campus II Suppose ACT, Inc. wants to...Ch. 16 - Prob. 49ECh. 16 - Prob. 50ECh. 16 - Prob. 51ECh. 16 - Prob. 52ECh. 16 - Prob. 53ECh. 16 - Prob. 54E
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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 127arrow_forwardClient 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_forward
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