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A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test Ho: µ = 175 millimeters versus H1: µ + 175 millimeters, using the results of n= 10 samples. What is the type I error probability if the acceptance region is 155 < i < 195 ? a. Reject Ho b. Fail to reject Họ. The 10 samples may not be an appropriate sample size - v If a = 0.05, would we need to reject the Ho? C. n z 14 Find B for the case in which the true foam height is 156 millimeters d. Probability of committing Type I Error cannot be determined because a was not given e. P(Type II Error) = 0.5 Find n if the probability of failing to reject a false null hypothesis is set at 0.05. And that the true foam f. P(Type I Error) = 0.00157 height was found to be really 156 millimeters 8. P ( 155 < x< 195, when µ=156) = 0.5628 h.n should be lower than 10 samples

A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test Ho: µ = 175 millimeters versus H1: µ + 175 millimeters, using the results of n= 10 samples. What is the type I error probability if the acceptance region is 155 < i < 195 ? a. Reject Ho b. Fail to reject Họ. The 10 samples may not be an appropriate sample size - v If a = 0.05, would we need to reject the Ho? C. n z 14 Find B for the case in which the true foam height is 156 millimeters d. Probability of committing Type I Error cannot be determined because a was not given e. P(Type II Error) = 0.5 Find n if the probability of failing to reject a false null hypothesis is set at 0.05. And that the true foam f. P(Type I Error) = 0.00157 height was found to be really 156 millimeters 8. P ( 155 < x< 195, when µ=156) = 0.5628 h.n should be lower than 10 samples

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test Ho: µ = results of n= 10 samples. 175 millimeters versus H1: µ + 175 millimeters, using the v What is the type I error probability if the acceptance region is 155 < i < 195 ? a. Reject Ho b. Fail to reject Ho. The 10 samples may not be an appropriate sample size v If a = 0.05, would we need to reject the Ho? С. п 14 v Find B for the case in which the true foam height is 156 millimeters d. Probability of committing Type I Error cannot be determined because a was not given e. P(Type II Error) = 0.5 %3D Find n if the probability of failing to reject a false null hypothesis is set at 0.05. And that the true foam f. P(Type I Error) = 0.00157 height was found to be really 156 millimeters 8. P (155 < x < 195, when µ=156) = 0.5628 h.n should be lower than 10 samples
Transcribed Image Text:A consumer products company is formulating a new shampoo and is interested in foam height (in millimeters). Foam height is approximately normally distributed and has a standard deviation of 20 millimeters. The company wishes to test Ho: µ = results of n= 10 samples. 175 millimeters versus H1: µ + 175 millimeters, using the v What is the type I error probability if the acceptance region is 155 < i < 195 ? a. Reject Ho b. Fail to reject Ho. The 10 samples may not be an appropriate sample size v If a = 0.05, would we need to reject the Ho? С. п 14 v Find B for the case in which the true foam height is 156 millimeters d. Probability of committing Type I Error cannot be determined because a was not given e. P(Type II Error) = 0.5 %3D Find n if the probability of failing to reject a false null hypothesis is set at 0.05. And that the true foam f. P(Type I Error) = 0.00157 height was found to be really 156 millimeters 8. P (155 < x < 195, when µ=156) = 0.5628 h.n should be lower than 10 samples
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