Inference on Two SmallSample Means In a comparison of the ef

Inference on Two Small-Sample Means

In a comparison of the effectiveness of online learning with the traditional in-classroom instruction, 12 students enrolled in a business course online and 14 enrolled in a traditional in-classroom. The final exam scores were as follows: (Image). Does the mean score differ between the two types of course? (show your work in details!)

Solution

This question is comparing two means from two samples obtained.

Sample size = 14, 12

Set null and alternate as

H0: mu 1 = mu2

Ha: mu1 not equals mu2

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Sample I:

Mean = 73.79, n = 14, s = 8.91

Sample II:

Mean = 76.75, n = 12, s = 8.21

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Mean diff = 73.79-76.75

t test is performed as sample size is small.

t statistic = 0.8423

p value =0.4079

The difference is not significant at 0.05