Test the claim that the mean GPA of night students is significantly different than the mean GPA of day students at the 0.1 significance level.
The null and alternative hypothesis would be:
H0:pN=pDH0:pN=pD
H1:pN≠pDH1:pN≠pD
H0:pN≥pDH0:pN≥pD
H1:pN
H0:μN=μDH0:μN=μD
H1:μN≠μDH1:μN≠μD
H0:μN≤μDH0:μN≤μD
H1:μN>μDH1:μN>μD
H0:μN≥μDH0:μN≥μD
H1:μN<μDH1:μN<μD
H0:pN≤pDH0:pN≤pD
H1:pN>pDH1:pN>pD
The test is:
left-tailed
two-tailed
right-tailed
The sample consisted of 75 night students, with a sample mean GPA of 2.12 and a standard deviation of 0.07, and 75 day students, with a sample mean GPA of 2.11 and a standard deviation of 0.05.
The test statistic is: (Please round to 2 decimals)
The p-value is: (Please round to 2 decimal places and use the following formula for the degrees of freedom: lesser of(n1 - 1) or (n2 - 1).
Based on this we:
- Reject the null hypothesis
- Fail to reject the null hypothesis
What do the results tell us about the mean GPA of night students as compared to the mean GPA of day students? Please provide a brief explanation.