Question

1. Based on the output given above, what are the decision and conclusions for the test, conducted at the 5% significance level?

1. Reject the null hypothesis; conclude there is no difference between the grades of the morning class and the grades of the evening class.
2. Fail to reject the null hypothesis, conclude there is insufficient information to decide there is no difference between the grades of the morning class and the grades of the evening class.
3. Fail to reject the null hypothesis, conclude there is insufficient information to decide there is a difference between the grades of the morning class and the grades of the evening class.
4. Reject the null hypothesis; conclude there is a difference between the grades of the morning class and the grades of the evening class.
5. There is insufficient information given to decide whether there is a difference between the grades of the morning class and the grades of the evening class.

t-Test: Two-Sample Assuming Equal Variances
	Variable 1	Variable 2
Mean	80.471	76.846
Variance	97.51	162.14
Observations	17	13
Pooled Variance	125.21
Hypothesized Mean Difference	0
df	28
t Stat	XXX
P(T<=t) one-tail	0.1934
t Critical one-tail	XXX
P(T<=t) two-tail	0.3868
t Critical two-tail	XXX

Answer 1

C. Fail to reject the null hypothesis, conclude there is insufficient information to decide there is a difference between the grades of the morning class and the grades of the evening class.

Explanation:

The P-value for the test is given as 0.3868 for the two tailed test which is greater than the alpha value 0.05, so we do not reject the null hypothesis. There is sufficient evidence to conclude that there is no difference between the grades of the morning class and the grades of the evening class. In other words, there is insufficient information to decide there is a difference between the grades of the morning class and the grades of the evening class.