Groups A & B are asked to answer a survey question on a scale of 1-5 where 5 = strongly agree and 1 = strongly disagree

The results are the following

A

B

4	2
2	3
2	4

Q1. Find the Sample mean and sample standard deviation of each group.

Q2 Test that the variances are equal across the two samples using the ratio of the variance of sample A divided by the variance of sample B.

Q3. Formulate a hypothesis where the sample standard deviation of both groups are equal, calculate test statistic and conclude

Q4. Test that the means are equal using the results of Q2 to decide the form of your test.

test at a 5% significance level, compute the test statistic and conclude