Question

10. Psychologists at an university compared the levels of alcohol consumption of male and female freshman students. Each student was asked to estimate the amount of alcohol (beer, wine, or liquor) they consume in a typical week. Summary statistics for 129 males and 181 females are provided in the accompanying table Click here to view the table a. For each gender, find a 95% confidence interval for mean weekly alcohol consumption. For males, the 95% confidence interval is ( (Round to the nearest hundredth as needed.) For females, the 95% confidence interval is ( (Round to the nearest hundredth as needed.) b. Prior to sampling. what is the probability that at least one of the two confidence intervals will not contain the population mean it estimates. Assume that the two intervals are independent The probability is Round to four decimal places as needed. c. Based on the two confidence intervals, what inference can you make about which gender consumes the most alcohol, on average, per week? O A. The males consume the most alcohol, on average, per week. O B. The females consume the most alcohol, on average, per week ° C. There is not enough information to answer this question. 4: Data Table Sample size, n Mean (ounces), x Standard deviation, 13.58 Males 129 16.73 Females 181 10.72 11.52

Answer 1

月(1) Given that Sample mean X-IG-73 Slanclard dleuiation Sel- 13.58 Sample ien 12 where, sd 능 13.58 13.58 12. 13.58 1-35 then Standar d 195 euel of Significance la) o 05 fem standardatable , tuoo tailed udlue ot ah) namo With n-2-128 tayt-value degre es af feedom tsさ1.978 1.998 X 1.19 margin of end ะ 2.35382 Nou we Caleolate Confrdente nterval

는 11.13 2.363 CE-Ί1G-73-2.343丿1673 t 2.363 CI 14.36409 Jnlerpetations 14 361, 19.093 Cntains hue popula tion mean Standar merma e tuwo tatled ualue Sample Sie n With n-1 뽑 181-1 =180 alue degrees o freedem is 93 Sample mean ะ10.72 Standard deuration sel- . 52 152 18I 5 L 13.454

2) 는 t.973× 0.85 G o1G88 느 10-72士1,G88 CL 10-72-1-G88 , 10-71 ㅟ.688 CI ะ 19.032 ) 12.408 Fe' ma les 'he q5y. (mgdence gnkrval is 114-IA,19-013 kmales, the 95% (mAdence ont rvat is (903ï , l2-408 (nt Fel mficlence dnterval is 031, The obabity that at teast one of tuc Coficlenoe Onlevualcclo not Contain pepulatien vnemn is, 1-0.9015 T option A The males mes te mest aleshol n males Cosumes the