Question

11. A test is made of H0: μ = 62 versus H1: μ > 62. A sample of size n = 79 is drawn, and 17)

    x = 68. The population standard deviation is σ = 23. Compute the value of the test statistic z and determine if H0 is rejected at the α = 0.01 level. A)0.26, H0 not rejected B) 0.26, H0 rejected C) 2.32, H0 not rejected D) 2.32, H0 rejected

Answer 1

ANSWER:

Given data,

A test is made of H0: μ = 62 versus H1: μ > 62. A sample of size n = 79 is drawn, and 17)

x = 68. The population standard deviation is σ = 23. Compute the value of the test statistic z and

determine if H0 is rejected at the α = 0.01 level.

A)0.26, H0 not rejected

B) 0.26, H0 rejected

C) 2.32, H0 not rejected

D) 2.32, H0 rejected

H0: μ = 62

H1: μ > 62

Sample of size = n = 79

x = 68

population standard deviation = σ = 23

Compute the value of the test statistic z

zstat = (x-μ) / (σ /sqrt(n))

zstat = (68-62) / (23/sqrt(79))

zstat = 2.32

Determine if H0 is rejected at the α = 0.01 level.

At α = 0.01 critical value of zcritical is 2.33

Where zstat = 2.32 < zcritical = 2.33 then we reject the hypothesis (H0) at the significance level = α = 0.01

Answer : Option (D) is correct

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