A juice manufacturer was worried and keep an eye on the sales issue because just six months before he introduced a new product (apple Juice) in the market after capturing sufficient market of (mango) juice. He wants to compare the daily sale of the two kinds of juices, so that he again analyzed the following daily sales data.He assumed that the data related to the daily sales of both the products (apple and mango juice) is normally distributed with equal variances.

Daily sales of juices in boxes

Apple juice:

5545

5981

5862

5820

5072

5116

5841

6817

5907

5842

5830

5420

6714

5564

5776

5107

5238

6507

6368

6292

Mango Juice

6506

6104

7183

6380

6493

7114

6404

6357

6813

6059

6498

6976

5877

6374

6149

6358

5987

7016

7110

5950

Questions:

a.Write down the null and alternative hypothesis.

b.Determine the calculated value of the test statistic.

c.Calculate the tabulated value (critical value) of the test statistic at 0.05 level of significance.

d.Which specific value will change if the assumption changes from variances equal to variances are not equal? What will be the new value?

e."On average sale of apple juice is 500 more than mango juice". Comments in the light of your calculations.