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3 statistics Question




Question;Write the word or phrase that best completes each statement;or answers the question. Express percents as decimals. Round dollar amounts to;the nearest cent.;13. It is commonly accepted that the mean temperature of;human is 98.6oF. Yours truly has nothing better to do but measured the;temperatures of 26 colleagues 1 to 4 times daily to get a total of 123;measurements. The collected data yielded a sample mean of 98.4oF and a sample;standard deviation of 0.7oF. Is the mean temperature of his colleagues less than;98.6oF at the 0.01 significance level? Justify your answer with the proper;statistics.;14. My brother wants to estimate the;proportion of Canadians who own their house. What sample size should be;obtained if he wants the estimate to be within 0.02 with 90% confidence if;a. He uses an estimate of 0.675 from the Canadian Census Bureau;b. He does not use any prior estimates?;15. The recommended daily allowance (RDA) of cobalamine (Vitamin B12) for;growing teens is 2.4 ?g (micrograms). It is generally believed that growing;teens are getting less than the RDA of 2.4 ?g of cobalamine daily.;A not-to-be-named Pharmaceutical (ntbnP) peddles dietary supplements around the;country. It is claimed by ntbnP representatives that by taking their vitamin;supplement, teens will have the RDA of cobalamine. FDA is going to take on;ntbnP to show that the supplement comes short of providing teens with the;recommended RDA.;FDA managed to collect with a 24-hour period blood sample of 10 randomly;selected teens around the country. The amounts of cobalamine (in ?g) determined;in these 10 randomly selected teens are given as follow;1.85 2.35 1.87 1.90 1.37 2.35 2.55 2.28 1.95 2.49;Based on their national experience, FDA assumes that the the population;standard deviation of cobalamine in teens to be 0.56 ?g.;Now, you are asked to weigh in on the dispute between FDA and ntbnP.;a. Given the above information, what kind of hypothesis test will you conduct?;z-test, t-test,?2-test, F-test, or?-test? Please explain.;b. What will be the null hypothesis, the alternative hypothesis, and, hence;the "tailedness" of the test (left-tailed, right-tailed, or;two-tailed)?;c. What is be the corresponding test statistics?;d. What is the corresponding p-value of the hypothesis test?;e. What kind of conclusion can you draw from the hypothesis test you have just;performed? Of course, representatives of ntbnP would like to have the;conclusion skewed to their advantage. And so would the officials from FDA. What;would you do if you are representing ntbnP? But, if you are representing FDA;how would you present your argument?;f. But, wait. What if FDA actually does not know the population standard;deviation in this case, would you conduct your hypothesis test different? Just;in case that you are going to perform the hypothesis different, what would you;do instead?


Paper#60405 | Written in 18-Jul-2015

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