Question

As you are aware, there has been considerable discussion about the United Kingdom's (UK) decision to leave the European Union. Government representatives of the UK claim that workers in the UK are more highly motivated than those in the EU. To support their claim, they have taken independent samples of 13 groups in the UK and the EU and have collected data on levels of work motivation using a standard testing tool. The data of the samples in the EU and the UK are shown in the table below:

Observation Number	UK	EU
1	131	123
2	111	112
3	105	102
4	119	108
5	119	105
6	106	104
7	112	104
8	122	99
9	106	100
10	103	101
11	115	103
12	99	87
13	106	101

A.) Use hypothesis testing to determine if the sample data indicate that the mean for the UK is greater than that of the EU. Use an alpha of .05.

B.) Test to see if the population variances for the two groups are equal. What does this imply with respect to your hypothesis test above? Use an alpha of .05.

Answer 1