A random sample of 10 observations was drawn from a large normally distributed population. The data is below.
22 20 22 20 25 18 22 23 19 18
To determine if you can infer at the 4% significance level that the population mean is not equal to 22, complete the steps below:
The value of the standardized test statistic:
Using interval notation with \(\infty\) written as “infty” and \(\cup\) written as “U” (capital u), determine each of the following:
The rejection region for the standardized test statistic:
The p-value is
Your decision for the hypothesis test therefore would be to not reject the null hypothesis \(H_0\text{.}\)