Instructions: Complete the requiredcalculations and answer the questions on your

Question

Instructions: Complete the requiredcalculations and answer the questions on your own paper. Youare free to work in groups of your own choosing, but each groupmember must turn in his/her own problem set.

Be sure to: 1) Show all work; 2) Clearlylabel questions and answers; 3) Make sure your writing is clean andreadable; 4) Answer the questions in order; 5) Circle or box youranswer.

1.      A city council member claimsthat the mean number of robberies in Over-The-Rhine is 15. Youthink the council member is wrong and set out to test hisclaim. You take a random sample of 40 months over the pastseveral years in Over-The Rhine. This sample yields a samplemean number of 20 robberies per month with a sample standarddeviation of 4 robberies (i.e., , s=4, n=40). Use thatinformation to answer the following:

a.       What are the null andalternative hypotheses? (1pt)

b.      What is the critical value forthis hypothesis test? Use = .05. (1pt)

c.       What is the standarderror of the mean ? (1pt)

d.      What is the observed value ofthe test statistic? (1pt)

e.       Compare the observedvalue to the critical value. What is your conclusion (rejector fail to reject the null)? Be sure to also phrase yourconclusion in terms of the substantive data and researchquestion. (1pts)

conclusion? (1pt)

Explanation / Answer

a  .Null Hypothesis Ho: Mean no of robberies inOver-The-Rhine ,=15       Alternate Hypothesis H1:Mean no of robberies in Over-The-Rhine , !=15 b. Critical Value for this test at =0.05 is 1.96 c. Standard error of the mean s/n =4/40=0.632456 d. observed value of the test statisic              (observed-expected)/s/n= (20-15)/0.632456                                                  =7.91 e. | Z| obs > |Z| Critical , so rejectnull hypothesis. Conclusion: Mean no of robberies in Over-The-Rhine morethan 15. Hope this would help

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