If the mean lifetime is actually 31 years, what is the probability we will reject the null hypothesis at a 0.05 significance level?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 25SGR
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City planners are concerned if the mean lifetime of the most commonly
planted trees in urban settings is more than 30 years. A sample of 42 recently fallen
trees yielded a mean age of 30.7 years with standard deviation of 3.2 years.
esis test at
Transcribed Image Text:City planners are concerned if the mean lifetime of the most commonly planted trees in urban settings is more than 30 years. A sample of 42 recently fallen trees yielded a mean age of 30.7 years with standard deviation of 3.2 years. esis test at
(b) If the mean lifetime is actually 31 years, what is the probability
we will reject the null hypothesis at a 0.05 significance level?
What sample size would be necessary to ensure that Type II error
(c)
is 0.1 when the mean lifetime is 31 years?
Transcribed Image Text:(b) If the mean lifetime is actually 31 years, what is the probability we will reject the null hypothesis at a 0.05 significance level? What sample size would be necessary to ensure that Type II error (c) is 0.1 when the mean lifetime is 31 years?
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