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Problem #2: A random sample of 21 students at a large university has a mean GPA of 3.28. GPAs at the university are known to follow a normal distribution with standard deviation 0.50. In carrying out a test of significance to determine whether there is evidence that the true mean GPA of students at the university differs from 3.17, the p-value is found to be 0.31337. The correct interpretation of this p-value is: (A) If the true mean GPA of all students at the university was not equal to 3.17, the probability of observing a sample mean larger than 3.28 would be 0.31337. (B) If the true mean GPA of all students at the university was equal to 3.17, the probability of observing a sample mean at least as extreme as 3.28 would be 0.15669. (C) If the true mean GPA of all students at the university was not equal to 3.17, the probability of observing a sample mean at least as extreme as 3.28 would be 0.15669. (D) If the true mean GPA of all students at the university was not equal to 3.17, the probability of observing a sample mean at least as extreme as 3.28 would be 0.31337. (E) If the true mean GPA of all students at the university was equal to 3.17, the probability of observing a sample mean larger than 3.28 would be 0.31337. (F) If the true mean GPA of all students at the university was equal to 3.17, the probability of observing a sample mean at least as extreme as 3.28 would be 0.31337. (G) If the true mean GPA of all students at the university was equal to 3.17, the probability of observing a sample mean less than 3.28 would be 0.31337. (H) If the true mean GPA of all students at the university was not equal to 3.17, the probability of observing a sample mean less than 3.28 would be 0.31337.

Problem #2: A random sample of 21 students at a large university has a mean GPA of 3.28. GPAs at the university are known to follow a normal distribution with standard deviation 0.50. In carrying out a test of significance to determine whether there is evidence that the true mean GPA of students at the university differs from 3.17, the p-value is found to be 0.31337. The correct interpretation of this p-value is: (A) If the true mean GPA of all students at the university was not equal to 3.17, the probability of observing a sample mean larger than 3.28 would be 0.31337. (B) If the true mean GPA of all students at the university was equal to 3.17, the probability of observing a sample mean at least as extreme as 3.28 would be 0.15669. (C) If the true mean GPA of all students at the university was not equal to 3.17, the probability of observing a sample mean at least as extreme as 3.28 would be 0.15669. (D) If the true mean GPA of all students at the university was not equal to 3.17, the probability of observing a sample mean at least as extreme as 3.28 would be 0.31337. (E) If the true mean GPA of all students at the university was equal to 3.17, the probability of observing a sample mean larger than 3.28 would be 0.31337. (F) If the true mean GPA of all students at the university was equal to 3.17, the probability of observing a sample mean at least as extreme as 3.28 would be 0.31337. (G) If the true mean GPA of all students at the university was equal to 3.17, the probability of observing a sample mean less than 3.28 would be 0.31337. (H) If the true mean GPA of all students at the university was not equal to 3.17, the probability of observing a sample mean less than 3.28 would be 0.31337.

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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Problem #2: A random sample of 21 students at a large university has a mean GPA of 3.28. GPAs at the university are known to follow a normal distribution with standard deviation 0.50. In carrying out a test of significance to determine whether there is evidence that the true mean GPA of students at the university differs from 3.17, the p-value is found to be 0.31337. The correct interpretation of this p-value is: (A) If the true mean GPA of all students at the university was not equal to 3.17, the probability of observing a sample mean larger than 3.28 would be 0.31337. (B) If the true mean GPA of all students at the university was equal to 3.17, the probability of observing a sample mean at least as extreme as 3.28 would be 0.15669. (C) If the true mean GPA of all students at the university was not equal to 3.17, the probability of observing a sample mean at least as extreme as 3.28 would be 0.15669. (D) If the true mean GPA of all students at the university was not equal to 3.17, the probability of observing a sample mean at least as extreme as 3.28 would be 0.31337. (E) If the true mean GPA of all students at the university was equal to 3.17, the probability of observing a sample mean larger than 3.28 would be 0.31337. (F) If the true mean GPA of all students at the university was equal to 3.17, the probability of observing a sample mean at least as extreme as 3.28 would be 0.31337. (G) If the true mean GPA of all students at the university was equal to 3.17, the probability of observing a sample mean less than 3.28 would be 0.31337. (H) If the true mean GPA of all students at the university was not equal to 3.17, the probability of observing a sample mean less than 3.28 would be 0.31337.
Transcribed Image Text:Problem #2: A random sample of 21 students at a large university has a mean GPA of 3.28. GPAs at the university are known to follow a normal distribution with standard deviation 0.50. In carrying out a test of significance to determine whether there is evidence that the true mean GPA of students at the university differs from 3.17, the p-value is found to be 0.31337. The correct interpretation of this p-value is: (A) If the true mean GPA of all students at the university was not equal to 3.17, the probability of observing a sample mean larger than 3.28 would be 0.31337. (B) If the true mean GPA of all students at the university was equal to 3.17, the probability of observing a sample mean at least as extreme as 3.28 would be 0.15669. (C) If the true mean GPA of all students at the university was not equal to 3.17, the probability of observing a sample mean at least as extreme as 3.28 would be 0.15669. (D) If the true mean GPA of all students at the university was not equal to 3.17, the probability of observing a sample mean at least as extreme as 3.28 would be 0.31337. (E) If the true mean GPA of all students at the university was equal to 3.17, the probability of observing a sample mean larger than 3.28 would be 0.31337. (F) If the true mean GPA of all students at the university was equal to 3.17, the probability of observing a sample mean at least as extreme as 3.28 would be 0.31337. (G) If the true mean GPA of all students at the university was equal to 3.17, the probability of observing a sample mean less than 3.28 would be 0.31337. (H) If the true mean GPA of all students at the university was not equal to 3.17, the probability of observing a sample mean less than 3.28 would be 0.31337.
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