Question

There are 24 students enrolled in an introductory statistics class at a small university. As an...

  1. There are 24 students enrolled in an introductory statistics class at a small university. As an in-class exercise the students were asked how many hours of television they watch each week. Their responses, broken down by gender, are summarized in the provided table. Assume that the students enrolled in the statistics class are representative of all students at the university.    (20 pts)

   

Male

3

1

12

12

0

4

10

4

5

5

2

10

10

6

Female

10

3

2

10

3

2

0

1

6

1

5

4

        a) If the parameter of interest is the difference in means, Uf-Um where Um and Uf are the mean number of hours spent watching television for males and females at this university, find a point estimate of the parameter based on the available data.

          

  1. Where the bootstrap distribution should be centered?

               A) 0    B) 2.09    C) 3.91    D) 6

  1. The standard error is estimated to be 1.511 (based on 5,000 bootstrap samples). Find a

        95% confidence interval for the difference in the mean number of hours spent watching

        television for males and females at this university. (Round the margin of error to two

        decimal places)

           

       d) Interpret your 95% confidence interval in the context of this data situation.

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