Independent random samples are taken at a university to compare the average GPA

Question

Independent random samples are taken at a university to compare the average GPA of seniors to the average GPA of sophomores. Given a 99% confidence interval for the difference between the true average GPAs (seniors - sophomores) of (0.23, 1.39),

i) What can you conclude?

ii) What if this interval is (-1.39, -0.23)?

iii) What if this interval is (-0.23, 1.39)?

IV)

A) We are 99% confident that the average GPA of seniors is greater than the average GPA of sophomores.

B) There is no significant difference between the true average GPA for seniors and sophomores.

C) We are 99% confident that the average GPA of seniors is less than the average GPA of sophomores

Explanation / Answer

1)

C) We are 99% confident that the average GPA of seniors is less than the average GPA of sophomores

2) There is significant difference betwenn the tue average GPA for seniors and sophomores. and the average GPA is more

3) There is no significant difference between the true average GPA for seniors and sophomores.

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