With the growth of internet service providers, a researcher decides to examine w

Question

With the growth of internet service providers, a researcher decides to examine whether there is a correlation between cost of internet service per month (rounded to the nearest dollar) and degree of customer satisfaction (on a scale of 1 - 10 with a 1 being not at all satisfied and a 10 being extremely satisfied). The researcher only includes programs with comparable types of services. A sample of the data is provided below.

dollars

satisfaction

11

6

18

8

17

10

15

4

9

9

5

6

12

3

19

5

22

2

25

10

A. Calculate the ANOVA table for the data. Use the ANOVA Table to conduct an F-Test to see if the model is significant (use = 0.05).

dollars

satisfaction

11

6

18

8

17

10

15

4

9

9

5

6

12

3

19

5

22

2

25

10

Explanation / Answer

we will use MINITAB software to calculate the Anova table.

set hypothesis as H0:effect of dollars = effect of satisfaction

The anova table for testing H0 is

One-way ANOVA:

Source DF SS MS F P
C2 1 405.0 405.0 17.69 0.001
Error 18 412.2 22.9
Total 19 817.2

here F-statistic value is 17.69 and p-value is 0.001 <0.05 level of significance

hence we are rejecting H0 and claim that the effect of these two groups are not same.

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