For this activity, utilize the five-step process listed below and the following information.

• Sample:
  • Sample Mean, (x-bar)= 37. Sample Standard Deviation, s= 4. Random Sample Size, n = 36. Allowable Survey Error (Significant level), = 0.05.
• Population:
  • = 36

Perform a one-sample Z-test hypothesis evaluating the potential improvement relative to the population value and please answer the following:

1. State the research question relative to the sample and the population as a research (alternate) hypothesis and a null hypothesis in plain language.
2. Determine the characteristics (shape) of the sample distribution.
3. Determine the cutoff sample score at which the null hypothesis should be rejected.
4. Decide whether to reject the null hypothesis or not.
5. State the results in a meaningful non-technical sentence(s).