It has been claimed that the average family size of all FHSU Virtual College statistics students is more than 4 people.  Using the family size data collected from this year’s classes, test this hypothesis–that is does the collected data statistically support this claim?  Justify your answer through a formal hypothesis testing procedure with a 0.05 level of significance.

It has been claimed that the average family size of all FHSU Virtual College statistics students is more than 4 people.  Using the family size data collected from this year’s classes, test this hypothesis–that is does the collected data statistically support this claim?  Justify your answer through a formal hypothesis testing procedure with a 0.05 level of significance.  Again, necessary claims, calculations, and values must be shown below and to the right.  Give your proper/final conclusion below.  (Hint:  Since the population s.d. is not known, make sure to realize the need to use the t-distribution for testing purposes.)