In a test of hypothesis, the null hypothesis is that the population mean is less than or equal to 20 and the alternative hypothesis is that the population mean is greater than 20. The population has a normal distribution with standard deviation of 3.1. The test is to be made at the 2% significance level. In order that the value of at μ₁ = 21. 57 to be 0.02, how large a sample do we need? O e. 27 O c.9 O d. 133 O a. 66 O b. 75

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
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In a test of hypothesis, the null hypothesis is that the population mean is less than or equal to
20 and the alternative hypothesis is that the population mean is greater than 20. The
population has a normal distribution with standard deviation of 3.1. The test is to be made at
the 2% significance level. In order that the value of ß at μ₁ 21. 57 to be 0.02, how large a
sample do we need?
O e. 27
O c. 9
O d. 133
O a. 66
O b. 75
Transcribed Image Text:In a test of hypothesis, the null hypothesis is that the population mean is less than or equal to 20 and the alternative hypothesis is that the population mean is greater than 20. The population has a normal distribution with standard deviation of 3.1. The test is to be made at the 2% significance level. In order that the value of ß at μ₁ 21. 57 to be 0.02, how large a sample do we need? O e. 27 O c. 9 O d. 133 O a. 66 O b. 75
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