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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 \f$\displaystyle \neq \f$ μ2

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

Question 13 options:

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