Problem #1 Suppose you were asked to analyze each of the situations described be

Question

Problem #1 Suppose you were asked to analyze each of the situations described below. (NOTE: Do not do these problems!) For each situation, indicate which procedure you would use (i.e type of test or confidence interval, specify type completely), the test statistic (z. t, or other). (a) Are there more broken bones in summer than in winter? We get records about the number of fractures treated in January and July at a random sample of 25 emergency rooms. (b) You have conducted a survey about whether Americans are in favor of additional nuclear power plants being constructed. Determine a likely range of values for the true percent of Americans in favor of the proposition. (c) Tags placed on garbage cans allow the disposal of up to 30 pounds of garbage. A random sample of 22 cans averaged 33.2 pounds with a standard deviation of 3.2 pounds. Is this strong evidence that residents overload their garbage cans? (d) The school newspaper wants a 95% confidence interval for the road test failure rate. In a random sample of 65 student drivers, 37 said they failed their driver’s test at least once. (e) A supermarket chain wants to know which of two merchandise display methods is more effective. They randomly assign 15 stores to use display type A and 15 others to use display type B, then collect data about the number of items sold at each store.

Explanation / Answer

a) Since sample size =25<30, we would two sample t-test for checking difference in broken bones in summer and winter.

b) We would calculate the confidence interval for proportion of Americans in favour of more nuclear power plant.

c) We would use one sample t- test to check if average disposal =30 pounds.

d) We would construct 95% confidence interval using z test for road test failure rate.

e) We would use paired t test to check effectiveness of type A and B

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