2. To raise awareness of its capabilities, FedEx developed asales promotion that was sent to selected offices. To assess thepossible benefit of the promotion, FedEx pulled the shippingrecords for a random sample of 50 offices that received thepromotion and another random sample of 75 that did not andcollected data on the number of mailings. They want to see if thosewho received the sales promotions shipped more mailings. Thecomplete set of results is provided below (promotions columns).a. State the null and alternate hypotheses.b. Run the test. Paste the test output and stateyour decision (minitab - Stat-paired T-Test and CI).c. What is the best estimate for the populationdifference in means for the number of mailings between offices withthe promotion and offices without the promotion? (Be 90% confidentin your estimate for the confidence interval). d.Interpret the confidence interval in part c. e.What is the margin of error associated with 90% confidenceinterval?

Promotion   Mailings
Promotions_NO   15
Promotions_NO   49
Promotions_NO   42
Promotions_NO   22
Promotions_NO   26
Promotions_NO   35
Promotions_NO   38
Promotions_NO   13
Promotions_NO   35
Promotions_NO   14
Promotions_NO   5
Promotions_NO   64
Promotions_NO   27
Promotions_NO   57
Promotions_NO   50
Promotions_NO   43
Promotions_NO   32
Promotions_NO   39
Promotions_NO   13
Promotions_NO   19
Promotions_NO   47
Promotions_NO   45
Promotions_NO   38
Promotions_NO   59
Promotions_NO   35
Promotions_NO   8
Promotions_NO   10
Promotions_NO   58
Promotions_NO   44
Promotions_NO   9
Promotions_NO   10
Promotions_NO   0
Promotions_NO   42
Promotions_NO   37
Promotions_NO   23
Promotions_NO   12
Promotions_NO   54
Promotions_NO   41
Promotions_NO   36
Promotions_NO   43
Promotions_NO   45
Promotions_NO   18
Promotions_NO   65
Promotions_NO   10
Promotions_NO   17
Promotions_NO   59
Promotions_NO   26
Promotions_NO   18
Promotions_NO   8
Promotions_NO   14
Promotions_NO   74
Promotions_NO   29
Promotions_NO   60
Promotions_NO   19
Promotions_NO   30
Promotions_NO   29
Promotions_NO   12
Promotions_NO   0
Promotions_NO   20
Promotions_NO   31
Promotions_NO   13
Promotions_NO   5
Promotions_NO   7
Promotions_NO   42
Promotions_NO   36
Promotions_NO   9
Promotions_NO   23
Promotions_NO   70
Promotions_NO   28
Promotions_NO   25
Promotions_NO   26
Promotions_NO   24
Promotions_NO   50
Promotions_NO   7
Promotions_NO   0
Promotions_YES   38
Promotions_YES   74
Promotions_YES   18
Promotions_YES   65
Promotions_YES   60
Promotions_YES   51
Promotions_YES   71
Promotions_YES   47
Promotions_YES   29
Promotions_YES   39
Promotions_YES   45
Promotions_YES   36
Promotions_YES   57
Promotions_YES   36
Promotions_YES   12
Promotions_YES   20
Promotions_YES   23
Promotions_YES   79
Promotions_YES   16
Promotions_YES   4
Promotions_YES   62
Promotions_YES   37
Promotions_YES   2
Promotions_YES   23
Promotions_YES   6
Promotions_YES   10
Promotions_YES   28
Promotions_YES   65
Promotions_YES   25
Promotions_YES   86
Promotions_YES   27
Promotions_YES   58
Promotions_YES   33
Promotions_YES   54
Promotions_YES   40
Promotions_YES   92
Promotions_YES   71
Promotions_YES   0
Promotions_YES   77
Promotions_YES   60
Promotions_YES   56
Promotions_YES   38
Promotions_YES   16
Promotions_YES   89
Promotions_YES   62
Promotions_YES   9
Promotions_YES   42
Promotions_YES   73
Promotions_YES   49
Promotions_YES   14