9.5 Showers According to home-water-works.org, the average shower in the United States lasts 8.2 minutes. Assume this is correct, and assume the standard deviation of 2 minutes. a. Do you expect the shape of the distribution of shower lengths to be Normal, right-skewed, or left-skewed? Explain. b. Suppose that we survey a random sample of 100 people to find the length of their last shower. We calculate the mean length from the sample and record the value. We repeat this 500 times. What will be the shape of the distribution of these sample means? c. Refer to part b. What will be the mean and the standard deviation of the distribution of these sample means?

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Author:Amos Gilat
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Chapter1: Starting With Matlab
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9.5
ar
on
d...
9.2
9.5
9.6
9: Inferring Population Means
AP
probability.
Showers According to home-water-works.org, the average shower in the United States
lasts 8.2 minutes. Assume this is correct, and assume the standard deviation of 2
minutes.
a. Do you expect the shape of the distribution of shower lengths to be Normal,
right-skewed, or left-skewed? Explain.
b. Suppose that we survey a random sample of 100 people to find the length of
their last shower. We calculate the mean length from the sample and record the
value. We repeat this 500 times. What will be the shape of the distribution of
these sample means?
c. Refer to part b. What will be the mean and the standard deviation of the
distribution of these sample means?
Smartphones According to a 2017 report by ComScore.com, the mean time spent on
smartphones daily by the American adults is 2.85 hours. Assume this is correct and
assume the standard deviation is 1.4 hours.
a. Suppose 150 American adults are randomly surveyed and asked how long they
spend on their smartphones daily. The mean of the sample is recorded. Then we
hace taking 1000 surove of 150 Amonicon
488
Transcribed Image Text:ar on d... 9.2 9.5 9.6 9: Inferring Population Means AP probability. Showers According to home-water-works.org, the average shower in the United States lasts 8.2 minutes. Assume this is correct, and assume the standard deviation of 2 minutes. a. Do you expect the shape of the distribution of shower lengths to be Normal, right-skewed, or left-skewed? Explain. b. Suppose that we survey a random sample of 100 people to find the length of their last shower. We calculate the mean length from the sample and record the value. We repeat this 500 times. What will be the shape of the distribution of these sample means? c. Refer to part b. What will be the mean and the standard deviation of the distribution of these sample means? Smartphones According to a 2017 report by ComScore.com, the mean time spent on smartphones daily by the American adults is 2.85 hours. Assume this is correct and assume the standard deviation is 1.4 hours. a. Suppose 150 American adults are randomly surveyed and asked how long they spend on their smartphones daily. The mean of the sample is recorded. Then we hace taking 1000 surove of 150 Amonicon 488
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