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MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of
minutes per day that people spend standing or walking. Among mildly obese people, the mean number of minutes of
daily activity (standing or walking) is approximately Normally distributed with 374 minutes and standard deviation 64
minutes. The mean number of minutes of daily activity for lean people is approximately Normally distributed with 522
minutes and standard deviation 104 minutes. A researcher records the minutes of activity for an SRS of 5 mildly obese
people and an SRS of 5 lean people.
(a) What is the probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 400
minutes? (Enter your answer rounded to four decimal places.)
probability:
(b) What is the probability that the mean number of minutes of daily activity of the 5 lean people exceeds 400 minutes?
(Enter your answer rounded to four decimal places.)
probability:
Transcribed Image Text:It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minutes per day that people spend standing or walking. Among mildly obese people, the mean number of minutes of daily activity (standing or walking) is approximately Normally distributed with 374 minutes and standard deviation 64 minutes. The mean number of minutes of daily activity for lean people is approximately Normally distributed with 522 minutes and standard deviation 104 minutes. A researcher records the minutes of activity for an SRS of 5 mildly obese people and an SRS of 5 lean people. (a) What is the probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 400 minutes? (Enter your answer rounded to four decimal places.) probability: (b) What is the probability that the mean number of minutes of daily activity of the 5 lean people exceeds 400 minutes? (Enter your answer rounded to four decimal places.) probability:
Expert Solution
Step 1

(a)

Given:

μ=374, σ=64, n=5

The corresponding z-value needed to be computed is:

Statistics homework question answer, step 1, image 1

The probability that the mean number of minutes of daily activity of the 5 mildly people exceeds 400 minutes is:

Statistics homework question answer, step 1, image 2

By using the standard normal table:

Statistics homework question answer, step 1, image 3Statistics homework question answer, step 1, image 4

Hence, the probability that the mean number of minutes of daily activity of the 5 lean people exceeds 400 minutes is:

  • Probability = 0.1818
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