A motorist claims the South Boro Police Dept. issues more than60 speeding ticket

Question

A motorist claims the South Boro Police Dept. issues more than60 speeding tickets per day. The data below shows the nu,berof speeding tickets issued daily for a period of one month. Assume=13.42. Is there enough evidence to support the motoristsclaim? Set up a test of hypothesis to test the claim. Use the=.05 level of significance and use P methodto test thclaim. 72   45   36   68  69   71   57   60 83   26   60   72  58   87   48   59 60   56   64   68  42   57   57 58   63   49   73  75   42   63 A motorist claims the South Boro Police Dept. issues more than60 speeding tickets per day. The data below shows the nu,berof speeding tickets issued daily for a period of one month. Assume=13.42. Is there enough evidence to support the motoristsclaim? Set up a test of hypothesis to test the claim. Use the=.05 level of significance and use P methodto test thclaim. 72   45   36   68  69   71   57   60 83   26   60   72  58   87   48   59 60   56   64   68  42   57   57 58   63   49   73  75   42   63

Explanation / Answer

One Sample Z-test Ho : = 60 Ha : > 60 conditions of normality Assume the number of tickets issued daily are independent Let the data represent a random sample n = 30 large enough to proceed sample mean = x ˜ 59.9 z = (x-)/ = (59.9-60)/13.4 ˜-0.0272 P(# of tickets > 59.9) = P(z > -0.0272) ˜ 0.511 We cannot reject the null hypothesis that the officer issues 60tickets per day at the 5% with a p-value of 51.1%. Thereforethere is not enough evidence to support the motorist's claim.

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