MATH 250 Activity 6 Complete Solution

Past enrollment data indicates that more than 40% of the students taking elementary statistics at FHSU are at least 30 years old.  Is the enrollment in this semester's virtual class significantly more than this claim, as measured statistically?  Justify your answer through a formal hypothesis testing procedure on proportions with a 5% level of significance.  It is required that you give needed hypotheses and related statistical values below as well as statistical computations to the right (feel free to use the appropriate template from the Excel guide for Unit 3).  Then give a proper final interpretive conclusion below based on the statistical measures calculated and related to the context given.

It has been claimed that the average family size of all FHSU Virtual College statistics students is less than 5 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 0.03 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.) 

It has been claimed that the average height of adults in the US is 175 cm. Does the data of our statistics class support or contradict this claim?  Justify your answer through a formal hypothesis testing procedure with a P-value approach using a significance level of your choice.  Calculation of and interpretation of the P-value is required on this problem.  Give your final conclusion below.