Statistical Techniques in Business and Economics
Statistical Techniques in Business and Economics
18th Edition
ISBN: 9781260788785
Author: Lind, Douglas
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 12, Problem 39CE

a.

To determine

To state: The null and alternate hypotheses.

b.

To determine

To calculate: The value of the test statistic

c.

To determine

To calculate: The p value.

d.

To determine

To state: The decision regarding H0 .

e.

To determine

To interpret: The obtained result.

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30. An individual who has automobile insurance from a certain company is randomly selected. Let Y be the num- ber of moving violations for which the individual was cited during the last 3 years. The pmf of Y isy      | 1       2      4       8      16p(y) | .05   .10   .35   .40   .10 a.Compute E(Y).b. Suppose an individual with Y violations incurs a surcharge of $100Y^2. Calculate the expected amount of the surcharge.
24. An insurance company offers its policyholders a num- ber of different premium payment options. For a ran- domly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows: F(x)=0.00  :  x < 10.30  :  1≤x<30.40  :  3≤ x < 40.45  :  4≤ x <60.60  :  6≤ x < 121.00  :  12≤ x a. What is the pmf of X?b. Using just the cdf, compute P(3≤ X ≤6) and P(4≤ X).

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Statistical Techniques in Business and Economics

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