Question 187153
At mississippi University, a sample of 18 senior accounting majors showed a mean cumulative GPA of 3.35 with a standard deviation of 0.25. At α = .05 in a two-tailed test, does this differ significantly from 3.25 (the mean GPA for all business school seniors at the university)? Explain your decision on the null hypothesis

Hypothesis Test: Mean vs. Hypothesized Value

3.2500 hypothesized value 
3.3500 mean problem4 
0.2500 std. dev. 
0.0589 std. error 
18 n 
17 df 

1.70 t 
.1079 p-value (two-tailed) 

3.2257 confidence interval 95.% lower
3.4743 confidence interval 95.% upper
0.1243 half-width 
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Ho: u = 3.25
Ha: u is not equal to 3.25 (2-tailed test)
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Conclusion: Since the p-value is greater than alpha = 5%,
Fail to Reject Ho.
The test does not provide evidence to reject the belief that
the GPA is 3.25
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Cheers,
Stan H.