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Effect of sample size on significance. You are testing the
Chapter , Problem 6.128(choose chapter or problem)
Effect of sample size on significance. You are testing the null hypothesis that 𝜇 = 0 versus the alternative 𝜇 > 0 using 0.05. Assume that 𝜎 = 14. Suppose that and n = 10. Calculate the test statistic and its P-value. Repeat, assuming the same value of
but with n = 20. Do the same for sample sizes of 30, 40, and 50. Plot the values of the test statistic versus the sample size. Do the same for the P-values. Summarize what this demonstration shows about the effect of the sample size on significance testing.
Questions & Answers
QUESTION:
Effect of sample size on significance. You are testing the null hypothesis that 𝜇 = 0 versus the alternative 𝜇 > 0 using 0.05. Assume that 𝜎 = 14. Suppose that and n = 10. Calculate the test statistic and its P-value. Repeat, assuming the same value of
but with n = 20. Do the same for sample sizes of 30, 40, and 50. Plot the values of the test statistic versus the sample size. Do the same for the P-values. Summarize what this demonstration shows about the effect of the sample size on significance testing.
Step 1 of 4
Given:
The size of the sample is 
The sample mean is 
The population standard deviation is 
The level of significance is 0.01.