[Medicine and Science in Sports and Exercise (January 1990).] Let X and Y equal

Chapter 7, Problem 7.2-4

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QUESTION:

[Medicine and Science in Sports and Exercise (January 1990).] Let X and Y equal, respectively, the blood volumes in milliliters for a male who is a paraplegic and participates in vigorous physical activities and for a male who is able-bodied and participates in everyday, ordinary activities. Assume that X is \(N(\mu_X , \sigma^2 _X )\) and Y is \(N(\mu Y, \sigma^2_Y)\). Following are n = 7 observations of X:

               1612      1352      1456      1222      1560      1456      1924

Following are m = 10 observations of Y:

               1082     1300     1092     1040     910

               1248     1092     1040     1092     1288

Use the observations of X and Y to

(a) Give a point estimate for \(\mu_X - \mu_Y\).

(b) Find a 95% confidence interval for \(\mu_X - \mu_Y\). Since the variances \(\sigma^2_X\) and \(\sigma^2_Y\) might not be equal, use Welch’s T.

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QUESTION:

[Medicine and Science in Sports and Exercise (January 1990).] Let X and Y equal, respectively, the blood volumes in milliliters for a male who is a paraplegic and participates in vigorous physical activities and for a male who is able-bodied and participates in everyday, ordinary activities. Assume that X is \(N(\mu_X , \sigma^2 _X )\) and Y is \(N(\mu Y, \sigma^2_Y)\). Following are n = 7 observations of X:

               1612      1352      1456      1222      1560      1456      1924

Following are m = 10 observations of Y:

               1082     1300     1092     1040     910

               1248     1092     1040     1092     1288

Use the observations of X and Y to

(a) Give a point estimate for \(\mu_X - \mu_Y\).

(b) Find a 95% confidence interval for \(\mu_X - \mu_Y\). Since the variances \(\sigma^2_X\) and \(\sigma^2_Y\) might not be equal, use Welch’s T.

ANSWER:

Step 1 of 9

Now, find the sample means.

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