STAT-UB.0103 Homework Set 5
COMPLETE ANY 12 or extra QUESTIONS FOR THIS HOMEWORK.1. Primarily based on a pattern of 50 x-values having imply 35.36 and normal deviation four.26,(a)check on the Zero.05 stage of significance the null speculation H Zero : = 34 versusthe various H1 : 34.(b)discover a 95% confidence interval for the inhabitants imply.(c)decide if the outcomes to half (a) and (b) are mutually constant.(d)use Minitab to offer the p-value for the check in (a).2. The info set CHSNBA.MTP accommodates a lot of variables for guards in theNational Basketball Affiliation.(a)For the variable PPG, which means factors per sport, check the null hypothesisH Zero : PPG = 11 towards the choice H1 : PPG 11 utilizing the Zero.05 levelof significance. The info file has n = 105, x = 10.70, s = 6.058.(b)Discover a 95% confidence interval for PPG and reconcile your conclusion in(a) with this interval.three. Suppose that a pattern of 200 accounts receivable entries at a big mail-orderbusiness had a imply worth of $846.20 and a regular deviation of $1,840.80. Give a95% confidence interval for the inhabitants imply. Be sure you state any assumptions thatyou use.four. A pattern of 612 voters had been requested whether or not they would vote for candidate Wilson inthe upcoming election. Of those, 344 mentioned that they meant to vote for Wilson. Is the344pattern proportionstatistically considerably totally different from Zero.50? Use the 5% stage612of significance.5. The distributor of a sure number of tomato seed has promised that 80% of the seedswill germinate beneath normal greenhouse circumstances. You check this declare with 500seeds, and you discover that 362 germinate efficiently. On the 5% stage of significance, testthe declare as H0: p = Zero.80 towards the choice H1: p Zero.80.7. Suppose that you're requested to check H0: 1 = 2 versus H1: 1 2 based mostly on these knowledge:Pattern12n2723Common-Zero.0491-Zero.0307St.Dev.Zero.09900.0496Which type of the check would you employ? What conclusion would you attain? The nextproblem asks for added calculations with the identical numbers.Page1STAT-UB.0103Homework Set 5((((((((((((((((((((((((((((((((((9. The weekly salaries of union electricians in two metropolitan areas had been in contrast bytaking random samples of 50 in every space. The outcomes had been these:AreaN12Imply5050612.26659.65Normal deviation100.2083.73On the 5% stage of significance, check the speculation H Zero : 1 = 2 versus the choice H1: 1 = 2 .10. The administration at Jackson & Flinch brokerage providers has established dollarquotas for every of their brokers, however the brokers are typically not knowledgeable about thesequotas. As a part of an experiment, 21 brokers (chosen at random) had been really advised theirannual greenback quotas simply to see how data of the quota would affect theirperformance. These brokers had been in contrast with 15 others who weren't advised theirquotas. The info under point out the fraction of annual quotas achieved by the top ofOctober:Instructed about quota?NMeanStandard deviationNo150.87100.0598Sure210.89240.0638On the Zero.05 stage of significance, check the null speculation H Zero : NO = YES towards thealternative H1 : NO YES.15. Staff at McKenzie Company got the chance to begin 401-Kretirement plans starting January 1, 2002, and 196 workers selected to take action. Of those,there have been 94 who elected to sit down by means of a three-hour seminar on making investmentdecisions. The greenback values of all these workers had been famous on December 31, 2004,precisely two years later:Attend seminar?NoYesn10294Imply10,90011,500Normal deviation1,4403,570On the Zero.05 stage of significance, check the null speculation H Zero : NO = YES towards thealternative H1 : NO < YES.FOR QUESTIONSPage2STAT-UB.0103Homework Set 5((((((((((((((((((((((((((((((((((17, CONVERT THE PROBLEM INTO A PROPORTION QUESTION BYCONSIDERING EITHER SUCCESS OR FAILURE, BUT NOT BOTH. USE ASIMILAR APPROACH FOR Q.1817. As a part of an investigative course of, a monetary reporter has been evaluating theadvice given by two funding newsletters. Every time a purchase suggestion wasgiven, he famous the inventory worth; he then recorded whether or not the value was increased in exactlythree months. Every case during which the value was increased was known as a hit. Right here isthe abstract of his findings:NewsletterThird MilleniumGlobal StarshipSuccessFailure28441536Complete numberof buyrecommendations4380Primarily based on these values, does the reporter have an fascinating story?18. Folks on advertising panels are sometimes given merchandise to make use of at residence and consider. Inone panel, 75 folks got a one-gallon jug of Sunshine Cal-Plus Orange Juice totake residence, and one other 80 folks got a one-gallon jug of CitriSplash OrangeJuice to take residence. When the panelists returned precisely one week later they had been requested,Did you end the gallon of orange juice? Listed here are the responses:Juice BrandSunshineCitriSplashTotalFinished Juice325486Did Not End Juice432669Complete7580155On the Zero.05 stage of significance, is there a distinction between these two juices for thisparticular query?