Practice_FINAL_2084_withanswers

Practice_FINAL_2084_withanswers - Final Exam Statistics for...

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Final Exam Statistics for Business and Economics Laurel Chiappetta Spring 2084 254 points Name:__________________________________ Section: 1 PM 2:30 PM 4 PM Student ID# (required):____________________
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1. (54 points) For each of the following problems, identify the appropriate null and alternative hypotheses. Choose from the output provided to test your hypotheses at the given significance level, provide your decision, and support (from the output) for the decision. a. A federal agency responsible for enforcing laws governing weights and measures routinely inspects packages to determine whether the weight of the contents is at least as what is advertised on the package. A random sample of 18 containers whose packaging states that the contents weigh 8 oz was drawn. Can we conclude at the 1% significance level that on average the containers are mislabeled? i. H 0 : μ = 8 H 1 : μ < 8 ii. Output used: t-test: Mean iii. Decision: Reject H 0 iv. Support: t = -4.31 is < critical t = -2.57 OR p=0.002 < α = 0.01 *keep in mind here where your rejection region lies b. The cruise ship business is rapidly increasing. Long associated with seniors, it now appears that younger people are choosing a cruise as their vacations. To determine whether this is true, an executive for a cruise line sampled passengers 2 years ago and this year to determine their ages. i. H 0 : μ 2yr = μ ty or μ 12yr - μ ty = 0 where μ 2yr = 2 years ago and μ ty = this year H 1 : μ 2yr > μ ty or μ 2yr - μ ty > 0 ii. Output used: t-test: two-sample assuming equal variances (don’t forget that you have to use the F test for variances in order to decide which two-sample t-test to choose) iii. Decision: Reject H 0 iv. Support: t = +2.88 > critical t = +1.65 OR p=0.002 < α = 0.05 c. In recent years, a number of state governments have passed mandatory seat-belt laws. Although the use of seat belts is known to save lives and reduce serious injuries, compliance with seat-belt laws is not universal. In an effort to increase the use of seat belts, a government agency sponsored a 2-year study. Among its objectives was to determine whether there was enough evidence to infer that seat- belt usage increased between last year and this year. To test this belief, random samples of drivers last year and this year were asked whether they always use their seat belts (2=wear, 1=do not wear). Can we infer that seat belt usage has increased over the last year?
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Practice_FINAL_2084_withanswers - Final Exam Statistics for...

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