Mathematics, 08.04.2020 04:19 danyelleearly12
Carl Reinhold August Wunderlich reported that the mean temperature of humans is 98.6F. To test this long-held belief about the average body temperature, medical researchers measured the temperature of 36 randomly selected healthy adults. The sample data resulted in a sample mean of 98.2F and a sample standard deviation of 0.6F. Assuming that the population is normal, test whether the mean temperature of humans is different from 98.6F at the 5% significance level. To gain full credit, you should provide the following
(a) State and check the modeling assumptions.
(b) Define the parameter of interest.
(c) State the hypotheses.
(d) Calculate the value of the test statistic. What is the distribution of the test statistic?
(e) Find the p-value using the appropriate table.
(f) State the decision and the conclusion in the context of the problem.
(g) Calculate a 95% confidence interval for the population mean Āµ and interpret your interval in the context of this problem.
(h) Could we have used the 95% confidence interval calculated in
(i) to make a decision about the hypothesis test conducted? Discuss, in depth, why or why not this can be done.
Answers: 3
Mathematics, 20.06.2019 18:04
Here is their argument. given the obtuse angle x, we make a quadrilateral abcd with ā dab = x, and ā abc = 90ā¦, and ad = bc. say the perpendicular bisector to dc meets the perpendicular bisector to ab at p. then pa = pb and pc = pd. so the triangles pad and pbc have equal sides and are congruent. thus ā pad = ā pbc. but pab is isosceles, hence ā pab = ā pba. subtracting, gives x = ā padāā pab = ā pbc āā pba = 90ā¦. this is a preposterous conclusion ā just where is the mistake in the "proof" and why does the argument break down there?
Answers: 2
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Carl Reinhold August Wunderlich reported that the mean temperature of humans is 98.6F. To test this...
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