3/ 6115%Next, Figure 2 shows a histogram and bar chart of the differences by state in mortality ratesbetween the two years for the selected states.-80-StateChange in heart disease mortalty 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.Throughout the exam, please use the following notations.• Let X, denote the rate for the ith state in 2005.• Let Y, denote the rate for the ith state in 2015.• Let Di = Y- X, denote the difference in rates for the ith state.• Let S, S, S denote the sample variances and X, Y, D denote the sample means.• Let 0x,0y denote the nationwide mean mortality rates in 2005 and 2015.• Let 0p = Oy-0x.The question of interest throughout the exam will be: has heart disease mortality decreasedin the U.S. from 2005 to 2015?(sooz - SLOZI s Aareou eseesp ey u ebueu 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 Op = -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.)

Name: 3/ 6115%Next, Figure 2 shows a histogram and bar chart of the differe
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Description: 3/ 6115%Next, Figure 2 shows a histogram and bar chart of the differences by state in mortality ratesbetween the two years for the selected states.-80-StateChange in heart disease mortalty rate (2015 - 2005)Figure 2: Left, bar chart of change in age

Given that : Mean = -41.73 Standard deviation = 14.2 n = 20

Math

Statistics

(a) Test the hypothesis that the mean U.S. mortality rate 0p remained the same or increased from 2005 to 2015 against the alternative that the mean mortality rate decreased. State the hypotheses, test statistic, rejection region, and p-value. Interpret the conclusion of the test at level a = 0.01. (b) Calculate the power of the test you performed in the previous part at Op =-10. What is the type II error rate for this alternative scenario? (c) Compute a 99% confidence interval for the change in mean heart rate mortality. Interpret the interval in context. (d) What assumption is being made about the variation in heart disease mortality across the U.S.? (Consider whether your conclusions are consistent with the possibility that mortality varies systematically by state as suggested by the CDC comment.)

(a) Test the hypothesis that the mean U.S. mortality rate 0p remained the same or increased from 2005 to 2015 against the alternative that the mean mortality rate decreased. State the hypotheses, test statistic, rejection region, and p-value. Interpret the conclusion of the test at level a = 0.01. (b) Calculate the power of the test you performed in the previous part at Op =-10. What is the type II error rate for this alternative scenario? (c) Compute a 99% confidence interval for the change in mean heart rate mortality. Interpret the interval in context. (d) What assumption is being made about the variation in heart disease mortality across the U.S.? (Consider whether your conclusions are consistent with the possibility that mortality varies systematically by state as suggested by the CDC comment.)

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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