Use Minitab to answer the questions. Make sure to copyall output from the Minitab:

Followings Tables shows previous 11 months stock marketreturns.

Date	Monthly SP500 Return	Monthly DJIA Return
12/7/2007	-0.8628	-0.7994
1/8/2008	-6.1163	-4.6323
2/8/2008	-3.4761	-3.0352
3/8/2008	-0.5960	-0.0285
4/8/2008	4.7547	4.5441
5/8/2008	1.0674	-1.4182
6/8/2008	-8.5962	-10.1937
7/8/2008	-0.9859	0.2468
8/8/2008	1.2191	1.4548
9/8/2008	-9.2054	-6.0024
10/8/2008	-16.8269	-4.8410

1. Let consider we know the variance of monthly return for allstock were 25 percent in 2008, perform the following hypothesis foreach index:

Ho :  µ = -5

Ha :  µ ? -5

2. Considering the population variance is unknown, perform ahypothesis test if the average stock return is 0 or not for eachindex:

Ho :  µ = 0

Ha :   µ ?  0

3. Perform following hypothesis based on all assumption we hadin 2)

Ho :  µ ? -3

Ha :   µ <  -3

4. Let’s consider the population mean of SP500 as µ1 and that ofDJIA as µ2 while none of population variance is known. Testfollowing hypothesis:

  Ho : µ1  =  µ2

Ha :   µ1 ?  µ2

5. Let’s consider the population variance of SP500 as?²₁and that of DJIA as?²₂, and none of them are known. Testfollowing hypothesis:

  Ho:  ?²₁  =  ?²₂

  Ha:  ?²₁?  ?²₂

6. Perform the following hypothesis test

  Ho:  ?²₁  ?  ?²₂

  Ha:  ?²₁>  ?²₂