A medical researcher administers a new medication to a random sample of 70 flu sufferers, and she administers a placebo to another random sample of 50 flu sufferers. (She chooses the two samples so that their characteristics, such as age, are as similar as possible.) For each group, she monitors the number of days until the sufferers’ symptoms have disappeared. The sample mean and sample standard deviation for the first sample are 9.72 days and 2.31 days, respectively. These quantities for the second sample are 13.23 days and 3.45 days. The endpoints of a 90% confidence interval for the mean difference (placebo minus new medication) are closest to which of the following?   a. 2.49 days to 4.53 days     b. 2.59 days to 4.43 days     c. 2.16 days to 4.86 days     d. 2.66 days to 4.36 days

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A medical researcher administers a new medication to a random sample of 70 flu sufferers, and she administers a placebo to another random sample of 50 flu sufferers. (She chooses the two samples so that their characteristics, such as age, are as similar as possible.) For each group, she monitors the number of days until the sufferers’ symptoms have disappeared. The sample mean and sample standard deviation for the first sample are 9.72 days and 2.31 days, respectively. These quantities for the second sample are 13.23 days and 3.45 days. The endpoints of a 90% confidence interval for the mean difference (placebo minus new medication) are closest to which of the following?

  a. 2.49 days to 4.53 days  
  b. 2.59 days to 4.43 days  
  c. 2.16 days to 4.86 days  
  d. 2.66 days to 4.36 days
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