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In the following study the city of Saskatoon was interested in knowing the number of hours per month that families in two areas of the city made use of a recreational facility. It was also interested to know if there was a difference between the two areas. A sample of size n = 45 families were selected from Area 1 resulting in a mean (hours used per family per month) of 15.6 and a standard deviation of 4.5. A second sample of size m = 50 families were selected from Area 2 resulting in a mean (hours used per family per month) of 20.7 and a standard deviation of 3.7.

In the following study the city of Saskatoon was interested in knowing the number of hours per month that families in two areas of the city made use of a recreational facility. It was also interested to know if there was a difference between the two areas. A sample of size n = 45 families were selected from Area 1 resulting in a mean (hours used per family per month) of 15.6 and a standard deviation of 4.5. A second sample of size m = 50 families were selected from Area 2 resulting in a mean (hours used per family per month) of 20.7 and a standard deviation of 3.7.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose that one is interested in determining if there is a difference in the mean number of hours per month that the recreational facility is used between families in Area 1 and families in Area 2.

a) Determine the appropriate test statistic and value of the test statistic?

b) If the significance level of the test is  = 0.05 determine the appropriate critical region?

In the following study the city of Saskatoon was interested in knowing the number of hours per month that families in two areas of the city made use of a recreational facility. It was also interested to know if there was a difference between the two areas. A sample of size n = 45 families were selected from Area 1 resulting in a mean (hours used per family per month) of 15.6 and a standard deviation of 4.5. A second sample of size m = 50 families were selected from Area 2 resulting in a mean (hours used per family per month) of 20.7 and a standard deviation of 3.7.
Transcribed Image Text:In the following study the city of Saskatoon was interested in knowing the number of hours per month that families in two areas of the city made use of a recreational facility. It was also interested to know if there was a difference between the two areas. A sample of size n = 45 families were selected from Area 1 resulting in a mean (hours used per family per month) of 15.6 and a standard deviation of 4.5. A second sample of size m = 50 families were selected from Area 2 resulting in a mean (hours used per family per month) of 20.7 and a standard deviation of 3.7.
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