8. Body mass index is calculated by dividing a person's weight by the square of his or her height; itis a measure of the extent to which the individual is overweight. For the population of middle-aged men who later develop diabetes mellitus, the distribution of baseline body mass indices isapproximately normal with an unknown mean u and standard deviation o. A sample of 58 menselected from this group has mean x = 24.65 kg/m and standard deviation s = 2.7 kg/m2.(a) Construct a 95% confidence interval for the population mean u.(b) At the 0.05 level of significance, test whether the mean baseline body mass index for thepopulation of middle-aged men who develop diabetes is equal to 24.0 kg/m“, the mean forthe population of men who do not. What is the p-value of the test?(c) What doyouconclude?(d) Based on the 95% confidence interval, would you have expected to reject or not to reject thenull hypothesis? Why?

Given that Sample size n = 58 Samole mean = 24.65 Sample SD = 2.7 Level of significance = 0.05 The…

Answered: a) Construct a 95% confidence interval…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Claim: The mean systolic blood pressure of all healthy adults is less than than 121 mm Hg. Sample data: For 272 healthy adults, the mean systolic blood pressure level is 120.59 mm Hg and the standard deviation is 15.61 mm Hg. The null and alternative hypotheses are Ho: I = 121 and H,: I< 121. Question: Find the value of the test statistic.
Identity the null and alternative hypotheses, test statistic, p value, state final conclusion
Considering you want to be 99% confident about estimating the mean yield strength for A36 grade steel, what sample size should you use if you want the error to be within 0.50 ksi? Assume that the population standard deviation is 10 ksi.
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Claim: The mean systolic blood pressure of all healthy adults is less than than 120 mm Hg. Sample data: For 276 healthy adults, the mean systolic blood pressure level is 119.61 mm Hg and the standard deviation is 14.88 mm Hg. The null and alternative hypotheses are Ho: μ = 120 and H₁: μ< 120. Find the value of the test statistic. The value of the test statistic is (Round to two decimal places as needed.) C
SAT Scores are distributed with a mean of 1,500 and a standard deviation of 300. You are interested in estimating the average SAT score of first year students at your college. If you would like to limit the margin of error of your 95% confidence interval to 25 points, how many students should you sample?
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