Independent random samples of professional football and basketball players gave
ID: 3340427 • Letter: I
Question
Independent random samples of professional football and basketball players gave the following information. Assume that the weight distributions are mound-shaped and symmetric.
Weights (in lb) of pro football players: x1; n1 = 21
Weights (in lb) of pro basketball players: x2; n2 = 19
(a) Use a calculator with mean and standard deviation keys to calculate x1, s1, x2, and s2. (Round your answers to one decimal place.)
x1 =
s1 =
x2 =
s2=
(b) Let 1 be the population mean for x1 and let 2 be the population mean for x2. Find a 99% confidence interval for 1 2. (Round your answers to one decimal place.)
lower limit =
upper limit =
Explanation / Answer
a.
Descriptive Statistics: X1, X2
Total
Variable Count Mean StDev
X1 21 250.0 48.6
X2 19 206.00 12.70
b.
Two-Sample T-Test and CI: X1, X2
Two-sample T for X1 vs X2
N Mean StDev SE Mean
X1 21 250.0 48.6 11
X2 19 206.0 12.7 2.9
Difference = mu (X1) - mu (X2)
Estimate for difference: 44.0
99% CI for difference: (13.0, 75.1)
T-Test of difference = 0 (vs not =): T-Value = 4.00 P-Value = 0.001 DF = 22
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