I need this question answered showing all the math work with an explanation and a sketch of the distribution The question asks for a right tailed test

Variablel Problem 8 Do you likeour lives Variable6-What is your gross monthly income? Problem 8a menuselection 2 . No At a 5 % level of significance, conduct a right-tailed test of hypothesis involving two population means defined as follows. The first population mean relates to the mean of those values of Variable 6 thats have the attribute represented by the "1" code for Variable 1, The second population mean relates to the mean of those values of Variable 6 that have the attribute represented by the "2" code for Variable 1. Use the pooled variance option when conducting this test. In your answer make sure that you show HO and Ha, sketch the sampling distribution showing the critical value(s) and the rejection region. Use your calculator to make all the required computations including the test statistic and also state the decision and conclusion in the context of your survey. Show all your work Variablell Vanable bo [10 marks] Do you likealf menu selection what is your gross monthly income 3300 3580 2000 3200 5 500 $800 8 000 3 0oo 3500 9000 85 00 4500 2800 4000 5800 3575 3250 1700 7000