SOLUTION: Assume that z is the test statistic. (a) Ho: μ = 22.5, Ha: μ > 22.5; x = 24.1, σ = 7, n = 23 (i) Calculate the test statistic z. (Give your answer correct to two

Algebra ->  Statistics  -> Central-limit-theorem -> SOLUTION: Assume that z is the test statistic. (a) Ho: μ = 22.5, Ha: μ > 22.5; x = 24.1, σ = 7, n = 23 (i) Calculate the test statistic z. (Give your answer correct to two       Log On


   



Question 1112397: Assume that z is the test statistic.
(a) Ho: μ = 22.5, Ha: μ > 22.5; x = 24.1, σ = 7, n = 23
(i) Calculate the test statistic z. (Give your answer correct to two decimal places.)


(ii) Calculate the p-value. (Give your answer correct to four decimal places.)


(b) Ho: μ = 200, Ha: μ < 200; x = 193, σ = 38, n = 36
(i) Calculate the test statistic z. (Give your answer correct to two decimal places.)


(ii) Calculate the p-value. (Give your answer correct to four decimal places.)


(c) Ho: μ = 12.4, Ha: μ 12.4; x = 10, σ = 5, n = 38
(i) Calculate the test statistic z. (Give your answer correct to two decimal places.)


(ii) Calculate the p-value. (Give your answer correct to four decimal places.)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Assume that z is the test statistic.
(a) Ho: μ = 22.5, Ha: μ > 22.5; x = 24.1, σ = 7, n = 23
(i) Calculate the test statistic z. (Give your answer correct to two decimal places.)

(ii) Calculate the p-value. (Give your answer correct to four decimal places.)

(b) Ho: μ = 200, Ha: μ < 200; x = 193, σ = 38, n = 36
(i) Calculate the test statistic z. (Give your answer correct to two decimal places.)
z(193) = (193-200)/(38/sqrt(36)) = -1.0526
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(ii) Calculate the p-value. (Give your answer correct to four decimal places.)
p-value = P(z < -1.0526) = normalcdf(-100,-1.0526) = 0.135
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Use the same procedure on the following problem.
Cheers,
Stan H.
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(c) Ho: μ = 12.4, Ha: μ 12.4; x = 10, σ = 5, n = 38
(i) Calculate the test statistic z. (Give your answer correct to two decimal places.)

(ii) Calculate the p-value. (Give your answer correct to four decimal places.)