Unformatted text preview: w W Assignment: Week 6 Exercises Date: 10/1/11 Course: Math 201 Fall B10
Time: 3:39 PM Book: Larson: Elementary Statistics:
Picturing the World, Se ii:- j}: A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 950
hours. A random sample of 35 light bulbs has a mean life of 926 hours with a standard deviation
of 85 hours. Do you have enough evidence to reject the manufacturer's claim? Use a = 0.09. (a) Identify the null hypothesis and alternative hypothesis. H0: u: 926 HO: 11¢ 950 HO; pg 926
Ha: pat 926 Ha: u: 950 Hal p> 926
HO: p2 950 Ho: u< 926 Ho: u> 950
Ha: u< 950 Ha: p2 926 Ha: u S 950 (b) Identify the critical value(s). 20: ”1.34 (c) Identify the standardized test statistic.
z = — 1.67 (d) Decide Whether to reject or fail to reject the null hypothesis. Fail to reject H0. There is sufﬁcient Fail to reject H0. There is not suﬁcient
evidence to reject the claim that mean evidence to reject the claim that mean
bulb life is at least 950 hours. bulb life is at least 950 hours. 4 Reject H0. There is sufﬁcient evidence to Reject H0. There is not sufﬁcient
reject the claim that mean bulb life is at evidence to reject the claim that mean
least 950 hours. bulb life is at least 950 hours. Page 1 ...
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