A business magazine wants to construct an article comparingthe number of hours worked per week by workers
Question:
A business magazine wants to construct an article comparingthe number of hours worked per week by workers in Canada and in Germany. The reporter on the story collected a sample of workers in each country and recorded the number of hours worked per week for each worker. The data is recorded below. At the 5% significance level, determine if there is a difference in the average number of hours worked per week in Canada and in Germany.
- From options #1 to #4 select the correct hypotheses for this test.
- From options #5 to #8 select the correct p-value for this test.
- From options #9 to #12 select the correct conclusion for this test.
Let Canada be population 1 and Germany be population 2. Complete the subtraction as population 1-population 2. If you use a t-distribution, use 71 for the degrees of freedom.
- H0:1-2=0Ha:1-20
- H0:1-2=0Ha:1-2>0
- H0:D=0Ha:D0
- H0:D=0Ha:D>0
- 0.0523
- 0.0595
- 0.0819
- 0.0776
- Based on the samples there is not enough evidence to conclude that the average number of hours worked per week is different in Canada and Germany.
- The average number of hours worked per week is the same in both countries.
- Based on the samples there is enough evidence to conclude that the average number of hours worked per week is different in Canada and Germany.
- The average number of hours worked per week is different in the two countries
Canada | Germany |
39 | 31 |
42 | 37 |
31 | 35 |
37 | 30 |
45 | 40 |
42 | 33 |
39 | 40 |
38 | 35 |
49 | 42 |
33 | 37 |
39 | 44 |
45 | 38 |
43 | 47 |
37 | 29 |
50 | 45 |
41 | 31 |
41 | 35 |
40 | 38 |
41 | 36 |
36 | 39 |
38 | 46 |
52 | 38 |
31 | 36 |
43 | 34 |
45 | 36 |
39 | 46 |
35 | 44 |
41 | 29 |
43 | 48 |
40 | 51 |
40 | 26 |
41 | 50 |
44 | 32 |
34 | 43 |
47 | 52 |
48 | 46 |
43 | 49 |
45 | 31 |
47 | 36 |
42 | 38 |