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Question;1) An engineer in charge of water rationing for the U.S. Army wants to determine if the average male soldier spends less time in the shower than the average female soldier. Let?m represent the average time in the shower of male soldiers and?f represent the average time in the shower of female soldiers.a) What are the appropriate hypotheses for the engineer?a. H0:?m =?f versus Ha:?m??fb. H0:?m =?f versus Ha:?m?fd. H0:?m =?f versus Ha:?m >?fb) Among a sample of 54 male soldiers the average shower time was found to be 2.9 minutes and the standard deviation was found to be 0.65 minutes. Among a sample of 61 female soldiers the average shower time was found to be 3.31 minutes and the standard deviation was found to be 0.71 minutes. What is the test statistic? Give your answer to three decimal places.c) What is the P-value for the test? Give your answer to four decimal places.d) Using a 0.01 level of significance, what is the appropriate conclusion?a. Fail to reject the claim that the average shower times are the same for male and female soldiers because the P-value is greater than 0.01.b. Reject the claim that the average shower times are different for male and female soldiers because the P-value is greater than 0.01.c. Conclude that the average shower time for males is less than the average shower time for females because the P-value is less than 0.01.d. Conclude that the average shower time for males is equal to the average shower time for females because the P-value is less than 0.01.2) Reserve Capacity (RC) is the number of minutes a fully charged battery at 80 degrees will discharge 25 amps until the battery drops below 10.5 volts. An automobile manufacturer wants to compare the mean RC for batteries from two different suppliers. RC data (in minutes) for samples of 50 batteries from each supplier are shown below. Construct a 99% confidence interval for the difference between the mean RC for supplier 1 and the mean RC for supplier 2.Supplier 1,Supplier 278.8122,77.932285.6322,86.872273.9122,75.302277.1422,74.242284.1222,69.342284.2222,97.442275.3322,74.782282.0422,85.652279.1122,63.532278.5722,75.852290.9422,82.3422(###) ###-####69.552278.6722,100.152290.9422,73.802281.0622,77.882284.3522,97.942271.9922,93.6522(###) ###-####73.862280.1922,61.542284.8822,64.302276.9722,85.362288.4322,88.362265.4022,64.482279.0222,92.032280.1822,92.752288.5322,79.842293.5022,90.842283.9922,65.872288.4822,77.5722(###) ###-####68.902263.1522,62.842267.8122,97.262292.9322,105.272274.0222,88.7622(###) ###-####71.422280.2122,80.462288.1622,80.142295.3922,70.612284.8322,64.842277.6722,78.462289.7022,78.902282.4622,63.092295.7222,93.832282.6622,75.492295.7722,84.672294.1822,80.932268.1822,82.952286.8722,68.012294.5222,76.992286.1422,84.5322a) What is the lower limit of the 99% confidence interval? Give your answer to three decimal places.b) What is the upper limit of the 99% confidence interval? Give your answer to three decimal places.c) Based on this interval, does the claim that mean RC rating is the same for both suppliers seem reasonable?a. Yes because 0 is inside the interval.b. Yes because 0 is not inside the interval.c. No because 0 is inside the interval.d. No because 0 is not inside the interval.3) A hospital wishes to justify the benefits of nutrition programs for pregnant women using birth weight data from newborns. The hospital hopes to show that the mean birth weight for newborns from mothers who complete the program is higher than the birth weight for newborns from mothers who do not complete the program. A group of 10 pregnant women were randomly divided into two groups, the first group received the nutrition program and the second group did not receive the program. The resulting weights (in grams) of the newborn babies from each group are shown below. Assume normality.Group 1,Group 22617,24062722,26502440,25962803,24082437,2526a) Let?1 represent the mean associated with the nutrition program, and let?2 represent the mean associated with no nutrition program. What are the proper hypotheses?a. H0:?1 =?2 versus Ha:?1??2b. H0:?1 =?2 versus Ha:?1 >?2c. H0:?1 =?2 versus Ha:?1?Tc. H0:?W =?T versus Ha:?W

Paper#60247 | Written in 18-Jul-2015

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