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MAT222-2006Spring

# MAT222-2006Spring - M AT 222 Final Examination 8 May 2006...

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MAT 222 Final Examination 8 May 2006 NAME _ SUID _ Please check the name of your instructor: [ ] Elena Buzaianu [ ] Vincent Fatica [ ] Wei Ning Do not write below Question Value Score 1 15 2 14 3 14 4 14 5 14 6 15 7 14 Total 100

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I. Citing the results of a survey by the New York Times, a TV newscast claimed that 46% of New Yorkers were in favor of a proposed transportation bond (to be voted on in the upcoming election). When the pollsters at Marist College surveyed 360 New Yorkers, they found 184 who favored the transportation bond. (a) What proportion of citizens favoring the transportation bond was observed in the Marist survey? (b) State hypotheses for an appropriate one-tailed test of the newscast's claim based on the Marist observations. (c) Test the hypotheses from part (b). Give the p-value of your test, and using the .05 level of significance, state your conclusion regarding the claim made in the newscast.
2. In a clinical trial, pharmachologists are testing a new drug to lower cholesterol levels. The cholesterol levels of 27 individuals were recorded before and after a three-month treatment with the new drug. In this sample, the amounts by which cholesterol levels were lowered had a mean of 56 points and a standard deviation of21 points and appeared to have corne from a population with a normal distribution. Give a 95% confidence interval estimate for the mean amount by which the drug would lower cholesterol levels in the population of all who might be treated.

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3. In 25 m.p.h crash tests of seven (7) Porsche Boxers, the damages suffered by the cars had a mean of\$9750 and a standard deviation of\$1204. In similar tests of six (6) BMW Z4 Roadsters, the damages suffered by the cars had a mean of \$8260 and a standard deviation of \$ 1892. Test the claim that the mean damage to (all) Porsche Boxers is greater than the mean damage to (all) BMW Z4 Roadsters. State your hypotheses carefully. Assume that the two populations have different standard deviations. Estimate the p-value of the test and comment on the claim.
---- 4. A company's work force was cross-classified according to job type and gender. That classification appears in the following contingency (two-way) table. Men Women --~ ... '~ _~,.-_._._.- .. _ .. _._ .. __ -..._._ ... -._ .. ...• _-- ...... ~._ .. --'-"-- Management/sales 39 47 Research/development 28 22 Labor 188 ---------_._---- 116 Total 255 185 Total 86 50 304 440 Using a X 2 test and the .05 level of significance, determine if there is a significant association between gender and job type. Your test should include appropriate hypotheses, the computation of a test statistic, mention of the number of degrees offreedom involved, a decision (reject H o or not) with justification, and a conclusion.

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5. 52 students in a statistics class took two 1OO-point examinations. The pairs (x,y) represent each student's score on exam 1 and exam 2, respectively. Minitab was asked to do a regression analysis of the 52 (x,y) pairs. Below is a portion of Mini tab's output and some descriptive statistics for x and y.
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MAT222-2006Spring - M AT 222 Final Examination 8 May 2006...

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