Question

In a study of maximal aerobic capacity, 12 women were used as subjects, and their blood...

  1. In a study of maximal aerobic capacity, 12 women were used as subjects, and their blood plasma volumes (in liters) were measured: 3.15, 2.99, 2.77, 3.12, 2.45, 3.85, 2.99, 3.87, 4.06, 2.94, 3.53, 3.20. Assume that these are observations of a normally distributed random variable X with mean ? and variance ?2.
    1. Give the values of the point estimates of ?, ?2, and ?.
    2. Find a 90% and a 95% confidence intervals for ?. Interpret and compare.
    3. Find a 95% confidence interval for ?. Interpret.

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