7.65 The statistical program MINITAB will calculate t tests. With the nanopillar height data in C1,

Dialog box: Stat > Basic Statistics > 1-Sample t. Click on box and type C1. Click Perform hypothesis test and Type 300 in Hypothesized mean. Choose Options. Type 0.95 in Confidence level and choose not equal. Click OK. Click OK Test of mu = 300 vs not = 300 N Mean StDev SE Mean T P C1 50 305.580 36.971 5.229 1.07 0.291 You must compare your preselected α with the printed P-value in order to obtain the conclusion of your test. To perform a Z test, you need to find the P-value corresponding to the value 1.07 for the test statistic. Here, with the two-sided alternative, we cannot reject H0:μ = 300 nm unless we take the significance level almost as large as 0.30.

(a) Test H0:μ = 295 with α = 0.05.

(b) Test H0:μ = 16.0 for the speed of light data in Exercise 2.66 with α = 0.05.