SOLUTION: I NEED HELP IN STATISTICS. PLEASE HELP. THANK YOU SO MUCH. At mississippi University, a sample of 18 senior accounting majors showed a mean cumulative GPA of 3.35 with a standar

Question 187153: I NEED HELP IN STATISTICS. PLEASE HELP. THANK YOU SO MUCH.
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

Answer by stanbon(48568) (Show Source):
You can put this solution on YOUR website!
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
----------------------------------
Ho: u = 3.25
Ha: u is not equal to 3.25 (2-tailed test)
------------
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
-------------------------------
Cheers,
Stan H.