For this activity, utilize the five-step hypothesis testing process and the following score data set.

• Population mean score () = 36, sample mean score (x-bar) = 37, random sample size (n) = 36, population standard deviation () = 4. Significant level() = 0.05.
• Set up a one-tail Z-test evaluating the potential statistical improvement of the sample mean score by answering the following:

1. State the research (alternate) hypothesis and the null hypothesis regarding the population in plain language.
2. Determine the characteristics (nature) of the above data.
3. Determine the cutoff sample mean score at which the null hypothesis would be rejected.
4. Determine whether to reject or not reject the null hypothesis based on your analysis of the above data, andexplainin plain language the results.