A sample of size n = 100 is used to test H0: = 20 versus H1:
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A sample of size n = 100 is used to test H0: μ = 20 versus H1: μ > 20.
The value of μ will not have practical significance unless μ > 25.
The population standard deviation is σ = 10.
The value of x̄ is 21.
a. Assume the sample size is n = 100.
Compute the P-value. Show that you do not reject H0 at the α = 0.05 level.
b. Assume the sample size is n = 1000. Compute the P-value.
Show that you reject H0 at the α = 0.05 level.
c. Do you think the difference is likely to be of practical significance? Explain.
d. Explain why a larger sample can be more likely to produce a statistically significant result that is not practically significant.
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