Answer
The null hypothesis does not get rejected and it proves that the chief justice of Canada does not live longer than the provided male population.
Work Step by Step
To perform t-test, the null hypothesis is defined as
\[{{H}_{0}}:\mu =27,725\], that is, the chief justice of Canada does not live longer than the male population.
The alternative hypothesis is defined as
\[{{H}_{1}}:\mu >27,725\], that is, the chief justice of Canada lives longer than the male population. The lifespan of the chief justices of Canada who have died is found through Wikipedia.com. The mean and standard deviation of the data is calculated in Excel
The p-value is calculated in Minitab to generate conclusion of the test and steps are as follows:
Step 1: Go to Stats, select basic statistics,and 1 sample t-test.
Step 2: A new dialog box appears. Click on summarized data, enter 18 under sample size, 2865.5 under mean and 1661.21 under the standard deviation. Write 27,725 in the place of hypothesized mean.
Step 3: Go to options and set confidence level as 95% and alternative hypothesis as “greater” in the left-tailed test. Finally, click ok.
The p-value is generated as 1.000, which is higher than 0.05. So, the null hypothesis does not get rejected and it conveys that the chief justice of Canada does not live longer than the male population.
