Statistics for the Behavioral Sciences
Statistics for the Behavioral Sciences
2nd Edition
ISBN: 9781452286907
Author: Gregory J. Privitera
Publisher: SAGE Publications, Inc
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Chapter 7, Problem 22CAP

(a)

To determine

State whether the statement “The value of the sample variance is an unbiased estimator of the population variance” concerning the sample variance is true or false.

(b)

To determine

State whether the statement “The value of the sample variance will vary minimally from the population variance dividing the SS by df” concerning the sample variance is true or false.

(c)

To determine

State whether the statement “It is more important that the sample variance be an unbiased estimator than that is vary minimally from the population variance” concerning the sample variance is true or false.

(d)

To determine

State whether the statement “Sampling distribution of the sample variances is approximately normal” concerning the sample variance is true or false.

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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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