The statistical program MINITAB will calculate \(t\) tests. With the nanopillar height data in \(\mathrm{C} 1\),

You must compare your preselected \(\alpha\) 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 \(H_{0}: \mu=300 \mathrm{~nm}\) unless we take the significance level almost as large as 0.30 .

(a) Test \(H_{0}: \mu=295\) with \(\alpha=0.05\).

(b) Test \(H_{0}: \mu=16.0\) for the speed of light data in Exercise 2.66 with \(\alpha=0.05\).

Dialog box: Stat > Basic Statistics > 1-Sample t. Click on box and type Cl. 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