SOLUTION: A sample mean, sample size, and population standard deviation are given. Use the
one-mean z-test to perform the required hypothesis test at the given significance level.
𝑥
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Question 1101701: A sample mean, sample size, and population standard deviation are given. Use the
one-mean z-test to perform the required hypothesis test at the given significance level.
𝑥𝑥̅= 51, 𝑛𝑛 = 36, 𝜎𝜎 = 3.6, H0 : μ = 50; Ha : μ > 50; α = 0.01
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A sample mean, sample size, and population standard deviation are given. Use the
one-mean z-test to perform the required hypothesis test at the given significance level.
𝑥𝑥̅= 51, 𝑛𝑛 = 36, 𝜎𝜎 = 3.6,
--------------------------------------------
H0 : μ = 50 (claim)
Ha : μ > 50; α = 0.01
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Test statistic:: z(36) = (36-51)/3.6 = -15/3.6 = -4.167
----
p-value = P(z < -4.167) = normalcdf(-100,-4.167) = 0.000154
Conclusion:: Since the p-value is less than 1% reject Ho at
the 0.01 level of significance.
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Cheers,
Stan H.
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