Using sibling data collected at the beginning of the semester, a sample of the number of children per family can be created that has a mean = 1.78 children, and a standard deviation of 1.48 children. The sample of the data was 36. Suppose the data collected could be considered a random sample of WCU student families. IS ther convincing evidence to suggest that WCU families have less children than the 2000 natural average of 1.86 children per family?

A) Give an appropriate hypothesis for this test.

B) Calculate the test statistic algorithmically. Show your calculations.

C) What is the p-value?

D) Make a conclusion of your test results based on a significance level of .30. Your conclusion should be 2 sentences long using complete sentences.