random sample of 100 students is taken from a larger population of students in a multi-lecture course and the sample mean (average) of their final grades is found to be 57.5. Suppose it is known that the population standard deviation is 5. Use R to help you test, with a significance level of 0.01, whether there is significant evidence that the average grade for the population exceeds 56. Choose the most correct statement. a. You test Ho: µ < 56 versus Ha: µ > 56 and you obtain a p-value of 0.001 (TO 3 DECIMALS) and the result is not significant. b. You test Ho: µ > = 56 versus Ha: µ < 56 and you obtain a p-value of 0.001 (TO 3 DECIMALS) and the result is not significant. c. You test Ho: µ <= 56 versus Ha: µ > 56 and you obtain a pvalue of 0.001 (TO 3 DECIMALS) and the result is significant. d. You test Ho: µ <= 56 versus Ha: µ > 56 and you obtain a p-value of 0.001 (TO 3 DECIMALS) and the result is not significant.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A random sample of 100 students is taken from a larger population of students in a multi-lecture course and the sample mean (average) of their final grades is found to be 57.5. Suppose it is known that the population standard deviation is 5. Use R to help you test, with a significance level of 0.01, whether there is significant evidence that the average grade for the population exceeds 56. Choose the most correct statement.

a.

You test Ho: µ < 56 versus Ha: µ > 56 and you obtain a p-value of 0.001 (TO 3 DECIMALS) and the result is not significant.

b.

You test Ho: µ > = 56 versus Ha: µ < 56 and you obtain a p-value of 0.001 (TO 3 DECIMALS) and the result is not significant.

c.

You test Ho: µ <= 56 versus Ha: µ > 56 and you obtain a pvalue of 0.001 (TO 3 DECIMALS) and the result is significant.

d.

You test Ho: µ <= 56 versus Ha: µ > 56 and you obtain a p-value of 0.001 (TO 3 DECIMALS) and the result is not significant.

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