Average Age and Length of Service Is the average age of armed services personnel related to the average amount of length of service in months? The data are shown. Age 24.9 25.7 26.4 26.7 27.3 Time...



Average Age and Length of Service Is the average age of armed services personnel related to the average amount of length of service in months? The data are shown.























Age





   24.9




   25.7




   26.4




   26.7




   27.3



Time





   66.3




   68.8




   74




   89.2




   82



(a) Draw the scatter plot for the variables.















Average Age and Length of Service

Service time













y

10

20

30

40

50

60

70

80

90

100

x

24

25

26

27

28

29

23



















(b) Compute the value of the correlation coefficient. Round your answer to at least three decimal places.












=r










(c) State the hypotheses.























H0


:







H1


:

























(d) Test the significance of the correlation coefficient at



=α0.05


, using The Critical Values for the PPMC Table.











Critical value(s):

±







▼(Choose one) the null hypothesis.














(e) Give a brief explanation of the type of relationship.









There ▼(Choose one) sufficient evidence to conclude that a significant linear relationship exists between age and service time.








Jun 01, 2022
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