Question

In: Statistics and Probability

Question 9 (1 point) Professors in the Economics Department at Western want to determine how challenging...

Question 9 (1 point)

Professors in the Economics Department at Western want to determine how challenging the program was for students. Out of a random sample of 20 students, 17 indicated that the program was either "challenging" or "very challenging". The 99% confidence interval estimating the proprotion of all students in the department who thought the program was challenging is given by which of the following?

Question 9 options:

1)

( 0.66426 , 1.03574 )

2)

( -0.64434 , 1.05566 )

3)

( 0.77016 , 0.92984 )

4)

( -0.05566 , 0.35566 )

5)

( 0.64434 , 1.05566 )

Question 10 (1 point)

You read an article in Golf Digest that someone with your average drive distance will have an average score of 81.73. You keep track of your scores for the next 10 rounds and see that your average score is 83.33 with a standard deviation of 2.593 strokes. You create a 95% confidence interval for your average score and it is (81.48, 85.18). Given this information, what is the best conclusion?

Question 10 options:

1)

The average score does not significantly differ from 81.73.

2)

The percentage of rounds in which you score more than 81.73 is 95%.

3)

We are 95% confident that your average score is less than 81.73.

4)

We cannot determine the proper interpretation based on the information given.

5)

We are 95% confident that your average score is greater than 81.73.

Solutions

Expert Solution

Question 9



n = 20



Lower Limit =
upper Limit =
99% Confidence interval is ( 0.6443 , 1.0557 )
( 0.6443 < P < 1.0557 )

Question 10

Confidence Interval



Lower Limit =
Lower Limit = 81.4751
Upper Limit =
Upper Limit = 85.1849
95% Confidence interval is ( 81.4751 , 85.1849 )

Since   lies in the interval, hence we can conclude that


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