Regard these students as a random sample of all first-year students and suppose

Question

Regard these students as a random sample of all first-year students and suppose we know that the study times follow a Normal distribution.

What is the standard error of the sample mean? ______1

Consider the hypotheses H0: = 150 against Ha: < 150.

What is the value of the test statistic?_____

Give your answer to two decimal places. 2 The p-value for the correct test statistic is 0.0060.

A student group claims that first-year students at a university must study 2.5 hours (150 minutes) per night during the school week. A skeptic suspects that they study less than that on the average. A class survey finds that the average study time claimed by 246 students is x = 140 minutes, with a sample standard deviation of 62. Regard these students as a random sample of all first-year students and suppose we know that the study times follow a Normal distribution. What is the standard error of the sample mean? ______ Consider the hypotheses H0: mu = 150 against Ha: Mu

Explanation / Answer

Given n=246, xbar=140, s=62

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What is the standard error of the sample mean? ______

standard error = s/n = 62/sqrt(246) = 3.953

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Consider the hypotheses H0: = 150 against Ha: < 150.

What is the value of the test statistic?_____

Test statistic is Z=(xbar - )/(s/n)

=(140-150)/(62/sqrt(246))

= -2.53

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