STATISTICAL TECHNIQUES IN BUSINESS AND E
STATISTICAL TECHNIQUES IN BUSINESS AND E
18th Edition
ISBN: 9781260570489
Author: Lind
Publisher: MCG
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Chapter 15, Problem 1E

The following hypotheses are given.

H 0 : π .70 H 1 : π > .70

A sample of 100 observations revealed that p = .75. At the .05 significance level, can the null hypothesis be rejected?

  1. a. State the decision rule.
  2. b. Compute the value of the test statistic.
  3. c. What is your decision regarding the null hypothesis?
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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 E

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