a A sample of 100 observations taken from a population produced a sample mean equal to 55 32 and a standard deviation equal to 8 4 Make a 90 confidence interval for b Another sample of 100 observations taken from the same population produced a sample mean equal to 57 40 and a standard deviation equal to 7 5 Make a 90 confidence interval for c A third sample of 100 observations taken from the same population produced a sample mean equal to 56 25 and a standard deviation equal to 7 9 Make a 90 confidence interval for d The true population mean for this population is 55 80 Which of the confidence intervals constructed in parts a through c cover this population means and which do not

Question: a. A sample of 100 observations taken from a population produced a sample mean equal to 55.32 and a standard deviation equal to 8.4. Make

a. A sample of 100 observations taken from a population produced a sample mean equal to 55.32 and a standard deviation equal to 8.4. Make a 90% confidence interval for µ
b. Another sample of 100 observations taken from the same population produced a sample mean equal to 57.40 and a standard deviation equal to 7.5. Make a 90% confidence interval for µ
c. A third sample of 100 observations taken from the same population produced a sample mean equal to 56.25 and a standard deviation equal to 7.9. Make a 90% confidence interval for µ
d. The true population mean for this population is 55.80. Which of the confidence intervals constructed in parts a through c cover this population means and which do not?

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