A problem with a telephone line that prevents a customer from receiving or making calls is upsetting to both the customer and the telephone company. The Sheet 8 contains samples of 20 problems reported to two different offices of a telephone company and the time to clear these problems (in minutes) from the customers' lines: test the Null hypothesis that the time to clear the problem doesn't significantly differ across to centers at the 0.03 level. Sheet 8   Location 1.       Location 2 1,48                   7,55 1,75                    3,75 0,78                   12,00 2,85                   1,10 0,52                    0,60 1,60                    0,52 4,15                    3,30 3,97                    2,10 1,48                    0,58 3,10                    13,00 1,02                     3,75 0,53                     0,65 0,93                     1,92 1,60                      0,60 0,80                      1,53 1,05                       4,23 6,32                      0,08 3,93                      1,48 5,45                      1,65 0,97                       0,72   Select one: a. the Null hypothesis is rejected t_stat < 1.96 b. the Null hypothesis is not rejected -2.29 < t_stat < 2.29 c. the Null hypothesis is not rejected t Critical two-tail > t Critical one-tail d. the Null hypothesis is rejected because p-value > 0.03

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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A problem with a telephone line that prevents a customer from receiving or making calls is upsetting to both the customer and the telephone company. The Sheet 8 contains samples of 20 problems reported to two different offices of a telephone company and the time to clear these problems (in minutes) from the customers' lines: test the Null hypothesis that the time to clear the problem doesn't significantly differ across to centers at the 0.03 level.

Sheet 8

 

Location 1.       Location 2

1,48                   7,55

1,75                    3,75

0,78                   12,00

2,85                   1,10

0,52                    0,60

1,60                    0,52

4,15                    3,30

3,97                    2,10

1,48                    0,58

3,10                    13,00

1,02                     3,75

0,53                     0,65

0,93                     1,92

1,60                      0,60

0,80                      1,53

1,05                       4,23

6,32                      0,08

3,93                      1,48

5,45                      1,65

0,97                       0,72

 

Select one:
a.

the Null hypothesis is rejected t_stat < 1.96

b.

the Null hypothesis is not rejected -2.29 < t_stat < 2.29

c.

the Null hypothesis is not rejected t Critical two-tail > t Critical one-tail

d.

the Null hypothesis is rejected because p-value > 0.03

 

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