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Stat 24000-SP22 Homework E4 Worksheet Page 1 of 1 1) If a sample of 35 subjects has an average of 24.16 and a variance of

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Stat 24000-SP22 Homework E4 Worksheet Page 1 of 1 1) If a sample of 35 subjects has an average of 24.16 and a variance of 5.7, what the boundaries for a 95% confidence interval for the population mean? 2) Two drugs are in development to raise the red blood cell count in patients. In a comparative trial, 65 subjects were given Drug A. The average concentration is this sample was 4.08 million cells/ul with a standard deviation of 0.35 million cells/uL. The second group of 70 subjects were given Drug B. This sample had an average concentration of 3.95 million cells/ul with a standard deviation of 0.55 million cells/uL. If we can assume that the variances are equal, construct a 95% confidence interval for the differences in means. Which drug does this interval suggest results in a higher red blood cell count? 3) A new drug is being developed to reduce total cholesterol in men over 20 years old. Suppose a random sample of 100 subjects, with an initial total cholesterol concentration of 6.5 mmol/L was given the new drug. After 90 days, the average total cholesterol of these men was 6.2 mmol/L with a standard deviation of 1.5 mmol/L. If a hypothesis test was conducted to see if the average decreased, what would the p-value be? 4) Given the following information, calculate the appropriate p-value: X1 = 65.2, $7 = 16, n, = 20, x2 = 63.8,s? = 25, n2 = 30, testing if /1 > /2, assume 61 = 02 5) Suppose that testing a hypothesis , - /2

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