If the mean lifetime is actually 31 years, what is the probability we will reject the null hypothesis at a 0.05 significance level?
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F048faa6b-a100-4249-8bc6-0274c2c51311%2F11b51e8e-a73d-413e-8793-9077922d1036%2Fbxtz79q_processed.jpeg&w=3840&q=75)
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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F048faa6b-a100-4249-8bc6-0274c2c51311%2F11b51e8e-a73d-413e-8793-9077922d1036%2Fkmqo3k_processed.jpeg&w=3840&q=75)
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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