Question

2. Chose one of the members of your project team and complete a significance test at a significance level of 5% with the claim that your means are the same. Person I chose, sample size 31 mean is 7.9 and standard deviation is 2.51, my numbers are sample size 23, mean is 8.3, standard deviation is 2.70

Answer 1

The level of significance is . The sample sizes are . The degrees of freedom is . Since we are testing for difference this is "two-tailed test".

Since the sample sizes are small, , we use T-test.

Here, the sample means are . The sample standard deviations are .

The test statistic is

The P-value is

Since , we retain the null hypothesis. The two means are the same.