6.130 Effect of sample size on significance. You are testing the null hypothesis that μ = 0 versus the alternative μ > 0 using α = 0.05. Assume that σ = 16. 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.