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A random sample of 100 students were asked how many hours they spend on Statistics assignments

Statistics Apr 12, 2021

A random sample of 100 students were asked how many hours they spend on Statistics assignments.

 

Number of Hours

Count of Students

1

56

2

27

3

13

4

3

5

0

6

1

7+

0

 

  1. Explain why the number of Hours might follow a geometric distribution with pdf

P(X=x) = p(1-p)x-1

 

  1. If we assume the distribution is geometric, what is the estimated mean and standard deviation?

 

  1. If we assume the distribution is geometric, construct a 95% confidence interval for the mean.

 

  1. Test the hypothesis that this distribution is, indeed, geometric.  State your conclusion clearly.

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