Question

The Farmington City Council recently commissioned a study of park users in their community. Data were collected on the age of the person surveyed and the amount of hours he or she spent in the park in the past month. The data collected were as follows: Time in Park Age 7.2 16 4.4 48 3.5 15 8.8 18 6.6 28 4.9 24 5.4 16 5.1 33 1.5 29 1.0 56 2.3 38 a. Draw a scatter plot for these data and discuss what, if any, relationship appears to be present between the two variables. b. Compute the correlation coefficient between age and the amount of time spent in the park. Provide an explanation to the Farmington City Council of what the correlation measures. c. Test to determine whether the amount of time spent in the park decreases with increases in the age of the park user. Use a significance level of 0.10. Use a p-value approach to conduct this hypothesis test.

          The Farmington City Council recently commissioned a study of park users in their community. Data were collected on the age of the person surveyed and the amount of hours he or she spent in the park in the past month. The data collected were as follows:

Time in Park   Age
7.2                  16
4.4                  48
3.5                  15
8.8                  18
6.6                  28
4.9                  24
5.4                  16
5.1                  33
1.5                  29
1.0                  56
2.3                  38

a. Draw a scatter plot for these data and discuss what, if any, relationship appears to be present between the two variables.
b. Compute the correlation coefficient between age and the amount of time spent in the park. Provide an explanation to the Farmington City Council of what the correlation measures.
c. Test to determine whether the amount of time spent in the park decreases with increases in the age of the park user. Use a significance level of 0.10. Use a p-value approach to conduct this hypothesis test.

Added by Ramon J.

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