1. Past enrollment data indicates that 20% of the students taking elementary statistics at FHSU have a family size of 5 people. Is the enrollment in this semester’s virtual class significantly less than this claim, as measured statistically? Justify your answer through a formal hypothesis testing procedure on proportions with a 10% 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 if desired). Then give a proper final interpretive conclusion below based on the statistical measures calculated and related to the context given.
2. It has been claimed that the mean age of all FHSU Virtual College statistics students is 28 years old. Using the age data collected from this year’s classes, test this hypothesis–that is does the collected data statistically support this claim or is the mean age different from 28 years old? 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.)
3. It has been claimed that the average footlength of adults in the US is more than 24 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.
|MATH 250- Elements of Statistics|
|Class Data, Fall 2014—CLEANED Student Data|
|Individual#||Gender||Foot Length||Height||Age||Armspan||Number in Family||Hair Color|
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