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1. The Boeing 757-200 ER airliner carries 200 passengers and has doors with a height of 72 in. Heights of men are normally distributed with a mean of 69.5 in. and a standard deviation of 2.4 in. If half of the 200 passengers are men, find the probability that the mean height of the 100 men is less than 72 in. 2. From an Angus Reid Public Opinion poll in which respondents were asked if they felt that U.S. nuclear weapons made them feel safer: n = 1005, x = 543 who said "yes". Use a confidence level of 95%, round your answer to four decimal places, and write the confidence interval in this format: p'te3. In a 3M Privacy Filters poll, 806 adults were asked to identify their favorite sear when they fly, and 492 of them chose a window seat. Use a 0.01 significance level to test the claim that the majority of adults prefer window seats when they fly. A. Write null and alternative hypothesis. B. Calculate test statistic. C. Calculate P-value. D. Circle correct decision. 1) P Reject Ho 2) P Fail to reject Ho 3) P >a => Reject Ho 4) P >a => Fail to reject Ho E. Circle correct conclusion. 1) There is sufficient evidence to support the alternative hypothesis. 2) There is insufficient evidence to support the alternative hypothesis. 3) There is sufficient evidence to support the null hypothesis. 4) There is insufficient evidence to support the null hypothesis.4. Listed below are brain volumes (cm') of unrelated subjects used in a study. Use a 0.01 significance level to test the claim that the population of brain volumes has a mean equal to 1 100.0 cm'. 963, 1027, 1272, 1079, 1070, 1173, 1067, 1347, 1100, 1204 A. Write null and alternative hypothesis. B. Calculate test statistic. C. Calculate P-value. D. Circle correct decision. 1) P Reject Ho 2) P Fail to reject Ho 3) P > a => Reject Ho 4) P > a => Fail to reject Ho E. Circle correct conclusion. 1) There is sufficient evidence to support the alternative hypothesis. 2) There is insufficient evidence to support the alternative hypothesis. 3) There is sufficient evidence to support the null hypothesis. 4) There is insufficient evidence to support the null hypothesis.5. In a randomized controlled trial in Kenya, insecticide treated bed nets were tested as a way to reduce malaria. Among 343 infants using bed nets, 15 developed malaria. Among 294 infants not using bed nets, 27 developed malaria. We want to use a 0.01 significance to test the claim that the incidence of malaria is lower for infants using bed nets. A. Write null and alternative hypothesis. B. Calculate test statistic. C. Calculate P-value. D. Circle correct decision. 1) P Reject Ho 2) P Fail to reject Ho 3) P > a => Reject Ho 4) P >a => Fail to reject Ho E. Circle correct conclusion. 1) There is sufficient evidence to support the alternative hypothesis. 2) There is insufficient evidence to support the alternative hypothesis. 3) There is sufficient evidence to support the null hypothesis. 4) There is insufficient evidence to support the null hypothesis.6. Many people believe that criminals who plead guilty tend to get lighter sentences than those who are convicted in trials. The accompanying table summarizes randomly selected sample data for San Francisco defendants in burglary cases. All of the subjects had prior prison sentences. Use a 0.05 significance level to test the claim that the sentence (sent to prison or not sent to prison) is independent of the plea. Guilty Plea Not Guilty Plea Sent to Prison 392 58 Not Sent to Prison 564 14 A. Write null and alternative hypothesis. B. Calculate test statistic. C. Calculate P-value. D. Circle correct decision. 1) P Reject Ho 2) P Fail to reject Ho 3) P > a => Reject Ho 4) P >a => Fail to reject HoE. Circle correct conclusion. 1) There is sufficient evidence to support the alternative hypothesis. 2) There is insufficient evidence to support the alternative hypothesis. 3) There is sufficient evidence to support the null hypothesis. 4) There is insufficient evidence to support the null hypothesis