QUESTION 6 Suppose that a study team in a statistics class would like to know if

Question

QUESTION 6

Suppose that a study team in a statistics class would like to know if there is a difference in the cumulative GPAs of Freshmen and Sophomores. A sample of 29 Fresmen yielded a mean GPA of 2.727 with a sample standard deviation of 0.727. A sample of 28 Sophomores yielded a mean of 3.212 with a sample standard deviation of 0.821. Determine the 95% confidence interval for the difference in GPAs (Soph - Fresh) to answer this question. Use MINITAB to obtain the confidence interval.   Assume that the sampling distribution of the differences is normal and that the populations have equal variances.

The 95% CI is (0.074, 0.896) and so there is a statistically significant different difference in the GPAs of Freshmen and Sophomores.

The 95% CI is (0.074, 0.896) and so there is not a statistically significant different difference in the GPAs of Freshmen and Sophomores.

The 95% CI is (-0.074, 0.896) and so there is a statistically significant different difference in the GPAs of Freshmen and Sophomores.

The 95% CI is (-0.074, 0.896) and so there is not a statistically significant different difference in the GPAs of Freshmen and Sophomores.

A.

The 95% CI is (0.074, 0.896) and so there is a statistically significant different difference in the GPAs of Freshmen and Sophomores.

B.

The 95% CI is (0.074, 0.896) and so there is not a statistically significant different difference in the GPAs of Freshmen and Sophomores.

C.

The 95% CI is (-0.074, 0.896) and so there is a statistically significant different difference in the GPAs of Freshmen and Sophomores.

D.

The 95% CI is (-0.074, 0.896) and so there is not a statistically significant different difference in the GPAs of Freshmen and Sophomores.

Explanation / Answer

P = 0.0217

Hence, the correct answer is A . Confidence interval is( 0.074,0.896). p-value of 0.02 is less than 0.05 and is stastically significant.

Difference 0.485 Standard error 0.205 95% CI 0.0737 to 0.8963 t-statistic 2.363 DF 55 Significance level

P = 0.0217

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