Next, Figure 2 shows a histogram and bar chart of the differences by state in mortality ratesbetween the two years for the selected states.0.03-0.02-0.01-0.00--StateChange in heart disease mortality rate (2015 - 2005)Figure 2: Left, bar chart of change in age-adjusted heart disease mortality rates (deaths per 100,000)by state between 2005 and 2015; right, histogram of differences by state between the two years.The differences are calculated as (2015 rate – 2005 rate).Finally, the summary statistics for the age-adjusted mortality rates in each year separately(Figure 1) and for the change in rates (Figure 2) are shown below in Table 1.MeanStandard deviation2005204.0031.702015162.2722.29Change -41.7314.20Table 1: Summary statistics (mean and standard deviation) for age-adjusted heart disease mortalityrates in 2005 and 2015, and for the difference in rates for each of the two years.Change in heart disease mortality rate (2015 - 2005)density • Let X; denote the rate for the ith state in 2005.• Let Y; denote the rate for the ith state in 2015.• Let D; = Y; – X; denote the difference in rates for the ith state.• Let S3, S?, S denote the sample variances and X,Ÿ,D denote the sample means.• Let 0x,0y denote the nationwide mean mortality rates in 2005 and 2015.• Let Op = 0y – 0x.1. Answer the following questions using the differences D1,..., D20 shown in Figure 2.(a) Test the hypothesis that the mean U.S. mortality rate 0p remained the same or increasedfrom 2005 to 2015 against the alternative that the mean mortality rate decreased. Statethe hypotheses, test statistic, rejection region, and p-value. Interpret the conclusion ofthe test at level a = 0.01.(b) Calculate the power of the test you performed in the previous part at OD = -10. Whatis the type II error rate for this alternative scenario?(c) Compute a 99% confidence interval for the change in mean heart rate mortality. Interpretthe interval in context.(d) What assumption is being made about the variation in heart disease mortality acrossthe U.S.? (Consider whether your conclusions are consistent with the possibility thatmortality varies systematically by state as suggested by the CDC comment.)

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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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