A test of hypothesis has the following details:
H₀: μ = 28, Ha: μ

Question

A test of hypothesis has the following details: ​
H₀: μ = 28, Ha: μ < 28, n = 40, σ = 6.6, α = 0.10
​
Calculate β if the population mean is 27.5.
A) 0.7889
B) 0.9609
C) 0.9000
D) 0.2111

Quizplus · Accepted Answer

The test is a left-tailed test with α = 0.10. The critical value for Z at α = 0.10 is -1.28. The standard error is σ/√n = 6.6/√40 = 1.043. The Z-score for the population mean of 27.5 is (27.5 - 28) / 1.043 = -0.479. The probability of Z being greater than -0.479 is 0.6889. Therefore, β = 1 - 0.6889 = 0.2111.

A Test of Hypothesis Has the Following Details: ​

A Test of Hypothesis Has the Following Details: