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# MATH 250-It has been claimed that the average family size

Subject: Mathematics / Statistics
Question
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.)

H0: ?=5

H1: ?? 5

Sample’s Mean (x-bar):

Sample’s S.D. (s):

Critical Value:

Sample’s Test Statistic:

P-value:

Data Set: 4 10 1 6 5 5 3 5 3 8 3 4 5 4 3 1 5 5 5 4 4 3 9 1 2 4 3 4 3 8 4 4 5 2 3 3 3 4 4 4 7 6 5 12 4 5 3 6 12 4 4 6 4 5 4 1 3 9 7 4 3 4 4 3 5 2 4 5 4 3 3 6 4 4 6 7 4

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