# choose the correct decision and summary about an hypothesis

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You are testing the claim that the mean GPA of night students is different than the mean GPA of day students. You sample 30 night students and 30 day students. Test the claim using a 1% level of significance. Assume the population standard deviations are unequal.

 t-Test: Two-Sample Assuming Unequal Variances Night Day Mean 2.98767 3.3432 Variance 0.29009 0.266482 Observations 30 30 Hypothesized Mean Difference 0 df 58 t Stat -2.6102 P(T<=t) one-tail 0.0057 t Critical one-tail 1.6716 P(T<=t) two-tail 0.01149 t Critical two-tail 2.0017

The Hypotheses for this problem are:

H0: μ1 = μ2

H1: μ1 μ2

Choose the correct decision and summary based on the p-value.

Question 13 options:
 Reject H0. There is not enough evidence that the mean GPA of night students is different than the mean GPA of day students. Do not reject H0. There is significant evidence that the mean GPA of night students is different than the mean GPA of day students. Reject H0. There is significant evidence that the mean GPA of night students is different than the mean GPA of day students. Do not reject H0. There is not enough evidence that the mean GPA of night students is different than the mean GPA of day students.