A biologist wants to test the null hypothesis that themean wingspan of a certain kind of insect is 12.3 mmagainst the alternative that it is not 12.3 mm. If shetakes a random sample and decides to accept the nullhypothesis if and only if the mean of the sample fallsbetween 12.0 mm and 12.6 mm, what decision will shemake if she gets x = 12.9 mm and will it be in error if(a) μ = 12.5 mm; (b) μ = 12.3 mm?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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A biologist wants to test the null hypothesis that the
mean wingspan of a certain kind of insect is 12.3 mm
against the alternative that it is not 12.3 mm. If she
takes a random sample and decides to accept the null
hypothesis if and only if the mean of the sample falls
between 12.0 mm and 12.6 mm, what decision will she
make if she gets x = 12.9 mm and will it be in error if
(a) μ = 12.5 mm; (b) μ = 12.3 mm?

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