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The time required to complete a final exam in statistics is normally distributed with a mean of 120 minutes and a standard deviation of 8 minutes. a) Determine the probability that a randomly selected student taking this course completes the exam in less than 115 minutes. b) Suppose a random sample of 9 students taking this course is selected. i) Calculate the mean and standard deviation of the sampling distribution of x . ii) Find the probability that the sample mean completion time is less than 115 minutes.

The time required to complete a final exam in statistics is normally distributed with a mean of 120 minutes and a standard deviation of 8 minutes. a) Determine the probability that a randomly selected student taking this course completes the exam in less than 115 minutes. b) Suppose a random sample of 9 students taking this course is selected. i) Calculate the mean and standard deviation of the sampling distribution of x . ii) Find the probability that the sample mean completion time is less than 115 minutes.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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The time required to complete a final exam in statistics is normally distributed with a mean of 120 minutes and a standard deviation of 8 minutes. a) Determine the probability that a randomly selected student taking this course completes the exam in less than 115 minutes. b) Suppose a random sample of 9 students taking this course is selected. i) Calculate the mean and standard deviation of the sampling distribution of x. ii) Find the probability that the sample mean completion time is less than 115 minutes.
Transcribed Image Text:The time required to complete a final exam in statistics is normally distributed with a mean of 120 minutes and a standard deviation of 8 minutes. a) Determine the probability that a randomly selected student taking this course completes the exam in less than 115 minutes. b) Suppose a random sample of 9 students taking this course is selected. i) Calculate the mean and standard deviation of the sampling distribution of x. ii) Find the probability that the sample mean completion time is less than 115 minutes.
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