Question 1: Wonder-Stats University was named the top party school globally. You

Question

Question 1: Wonder-Stats University was named the top party school globally. Your boss at a local newspaper can't believe it. He asks you to go down to the university and investigate. You stand in front of the library and randomly select ten students that pass by. Then, you ask them how many hours they partied during the last week. (The week of the sampling was the week just prior to the mid-semester break.) The ten responses are presented in the ri column. Observation ;i-(r-T 52 6 9 10 a) What does r, equal? What does equal to? b) Now fill in the values for the columns (r- and ( -)2 c) Your friend says the standard deviation should be equal to 240.4. Is this correct? Explain why or why not (Hint: calculate both variance and standard deviation) d) What is the z-score for observation number 3? e) Which measure of central tendency seems most appropriate in this case, the mean or the median? Explain. f) Do you think the survey approach described above would give an accurate estimate of the average hours that Wonder-Stats U students partied during the week before mid-semester Break? Explain why you think it would provide an overestimate, an underestimate or a good estimate. Also comment on your choice of reference week and what that might imply for your story. (Note: These are two separate points.)

Explanation / Answer

a) It will be 80 as the mean is 8

Mean, X bar=8

b) Look at the table

c) Std Dev= 14.71

It is as per the calculation

d) Z= (X-)//sqrt(n)= (52-8)/14.71/sqrt(10)= 9.46

e) Median since there is an outlier-52

f) Yes. It will give an estimate and the problem is the presence of outliers which might hinder the results

n Xi Xi-X bar (Xi-X bar)^2 1 2 -6 36 2 4 -4 16 3 52 44 1936 4 4 -4 16 5 2 -6 36 6 3 -5 25 7 1 -7 49 8 5 -3 9 9 4 -4 16 10 3 -5 25

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