Mathematics, 11.11.2019 20:31, harleyguerrieri
20 babies born in one week in a local hospital had the following weights (in pounds): 9.6, 8.8, 5.1, 7.7, 6.1, 8.9, 8, 9.2, 5.7, 9.1, 8.5, 7.3, 9.3, 9.6, 5.2, 9.9, 7.6, 9, 7.2, 8.5(a) create a qq plot and histogram of the weights. do you think it is reasonable to assume that thepopulation distribution is normal? explain your answer.(b) regardless of your answer to (a), use r to perform the bootstrap with 3000 resamplings (and set. seed(1))to create a 98% ci for μ. (show your r code and its output - you can copy and paste the code given in lecture or ) now construct a 98% t ci for μ by hand and compare it to that which you found via bootstrap.(d) last year, an oil refinery was built in the vicinity of the hospital. the average of newborn baby weightsthe previous year was 8.4 lbs. using the data from this week’s births, use the bootstrap with 3000resamplings to test the hypothesis that baby weights are lower after the refinery started operation (set α = .02. make sure to specify your null and alternative hypothesis, report p values, and draw your conclusions in context.(e) do the same hypothesis test with a t instead of a bootstrap. use an online calculator if necessary.
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Two cars which are 40 miles apart start moving simultaneously in the same direction with constant speeds. if the speed of the car which is behind is 56 mph and the speed of the other car is 48 mph, how many hours will it take for the car which is behind to catch up the car ahead of it?
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20 babies born in one week in a local hospital had the following weights (in pounds): 9.6, 8.8, 5.1,...
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