Question

If you take this sample and break into 2 samples, one for graduate degrees (MBA and MSE) and one for undergraduate degrees (BA and BSE), would you believe the populations have different GPAs?

3.56	MBA	3.51	BA
3.75	MBA	2.85	BA
3.2	MBA	2.94	BA
3.2	MBA	3.25	BA
3.87	MSE	2.65	BSE
3.2	MSE	3.47	BSE
3.46	Mean (Grad)	3.11	Mean (Undergrad)
0.28	std dev.	0.32	std dev.

1. What test would you perform?
   1. Z-test of a mean
   2. T-test of a mean
   3. T-test of 2 sample means
   4. Chi-square test
2. What is the value of the test statistic?
   1. 2.02
   2. 2.68
   3. 3.06
   4. 3.11
3. What is the p-value?
   1. 0.0074
   2. 0.0280
   3. 0.0373
   4. 0.0746
4. Based on a significance level of 0.05, would you reject or fail to reject and why?
   1. Reject because p < alpha
   2. Reject because p > alpha
   3. Fail to reject because p < alpha
   4. Fail to reject because p > alpha

Answer 1

(a)

Question:

What test would you perform ?

Correct option:

T-test of 2 sample means

(b)

What is the value of the test statistic?

Correct option:

2.02

Explanation:

H0:Null Hypothesis: ( the populations for graduate degrees (MBA and MSE) and for undergraduate degrees (BA and BSE), have same GPAs )

HA: Alternative Hypothesis: ( the populations for graduate degrees (MBA and MSE) and for undergraduate degrees (BA and BSE), have different GPAs )

Pooled Standard Deviation is given by:

Test Statistic is given by:

(c)

Question:

What is the p-value?

Correct option:

0.0746

Explanation:

Corresponding to t score =2.02 and df =6 + 6 - 2 = 10, By Technology,

p - value = 0.0746

(d)

Question:

Based on a significance level of 0.05, would you reject or fail to reject and why?

Correct option:

Fail to reject because p > alpha