Question

Domestic

29

36

33

34

38

37

33

29

43

39

43

42

32

35

39

International

39

54

46

39

69

47

48

28

54

62

(1-a)Examine the data below showing the weights (in pounds) of randomly selected checked bags for an airline's flights on the same day. Click here for the data. Let μ1μ1 be the population mean pounds for International bags and μ2μ2 be the population mean pounds for Domestic bags. You are asked to test whether International bags are heavier than Domestic bags. What are the null and alternative hypotheses?

(1-b)What is the test statistic? Let α = 0.01. Round to 4 decimal places.

(1-c)What is the critical value at the α = 0.01 level? If there are two critical values, enter the positive one. If there is one critical value you need to make sure it has the correct sign depending on what type of test it is. Remember, Excel only provides positive values. Round to 4 decimal places.

(1-d)

What do you conclude at the α = 0.01 level?

Select one:

a Reject the null hypothesis

b Do not reject the null hypothesis

(1-e)What is the p-value? Round to 4 decimal places.

(1-f)What is the highest degree of confidence that you can say that international luggage is heavier than domestic luggage? Moodle does not let me put % at the end, so if your answer is 95.06% you would type 95.06. Round to two decimal places.

Answer 1

(1-a) The hypothesis being tested is:

H0: µ1 = µ2

H1: µ1 > µ2

(1-b) t = 3.1628

(1-c) Critical value = 2.7638

(1-d) a Reject the null hypothesis

(1-e) p-value = 0.0051

(1-f) 99.48%

International	Domestic
48.60	36.13	mean
11.89	4.58	std. dev.
10	15	n
	10	df
	12.467	difference (International - Domestic)
	3.942	standard error of difference
	0	hypothesized difference
	3.1628	t
	.0051	p-value (one-tailed, upper)