A statistics teacher thinks test scores have not changed over time.She believes that the history average score on the final exam is 88.A sample of final exam scores from 36 current students was taken with a resulting mean of 83 and a standard deviation of 12.

(8 points) State the null and alternative hypotheses regarding the population mean final exam score.Please select a direction for the hypotheses from the drop-down menu.Then, input the value for the hypotheses.

Using on-line calculators, what is the p-value to test the null hypothesis?Report four significant digits.

Using a significance level of 0.05, do you reject or fail to reject the null hypothesis?

The p-value is the probability of an event or something that could happen.For this problem, what is the event for the p-value?