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Statistics 13C
Homework # 7 (Part 1)
For discussion, Tues, 11/18/08
F. J. Samaniego
From the text: (hypothesis tests dealing with μ) Chap. 9: Problems # 6 , 7,
11, 13 (treating the stated value of s in each problem as if it were σ).
Also, solve the following problems:
1.
Local TV weather forecaster Seymour Storms appears to overestimate the
chances of rain. In investigating this rumor, the station manager decides to
keep track of X, the number of rainy days out of the next four days for which
Seymour predicts a 2/3 chance of rain. (Note that X ~ B(4, p), where p = the
probability of rain.) The manager plans to reject H
0
: p = 2/3 in favor of the
alternative H
1
: p = 1/2 if X ≤ 1.
(a) Compute the probability α of type I error
using this test. (b) Compute the probability β of type II error using this test.
2.
The distance that a randomly chosen state worker commutes to work is
thought to be normally distributed. Two legislative analysts disagree on the
exact distribution of this random variable. One believes that it is N(10, 4),
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This note was uploaded on 02/21/2009 for the course STATS 013 taught by Professor Leong during the Spring '07 term at UC Davis.
 Spring '07
 Leong
 Statistics

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