Independent random samples of professional football and basketball players gave the following information. Heights (in ft) of pro football players: x1; n1 = 45 6.33 6.50 6.50 6.25 6.50 6.33 6.25 6.17 6.42 6.33 6.42 6.58 6.08 6.58 6.50 6.42 6.25 6.67 5.91 6.00 5.83 6.00 5.83 5.08 6.75 5.83 6.17 5.75 6.00 5.75 6.50 5.83 5.91 5.67 6.00 6.08 6.17 6.58 6.50 6.25 6.33 5.25 6.66 6.50 5.82 Heights (in ft) of pro basketball players: x2; n2 = 40 6.09 6.57 6.25 6.58 6.25 5.92 7.00 6.41 6.75 6.25 6.00 6.92 6.82 6.58 6.41 6.67 6.67 5.75 6.25 6.25 6.50 6.00 6.92 6.25 6.42 6.58 6.58 6.08 6.75 6.50 6.83 6.08 6.92 6.00 6.33 6.50 6.58 6.83 6.50 6.58 (a) Use a calculator with mean and standard deviation keys to calculate x1, s1, x2, and s2. (Round your answers to three decimal places.) x1 =   s1 =   x2 =   s2 =   (b) Let μ1 be the population mean for x1 and let μ2 be the population mean for x2. Find a 90% confidence interval for μ1 – μ2. (Round your answers to three decimal places.) lower limit       upper limit

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Independent random samples of professional football and basketball players gave the following information.

Heights (in ft) of pro football players: x1n1 = 45
6.33 6.50 6.50 6.25 6.50 6.33 6.25 6.17 6.42 6.33
6.42 6.58 6.08 6.58 6.50 6.42 6.25 6.67 5.91 6.00
5.83 6.00 5.83 5.08 6.75 5.83 6.17 5.75 6.00 5.75
6.50 5.83 5.91 5.67 6.00 6.08 6.17 6.58 6.50 6.25
6.33 5.25 6.66 6.50 5.82
Heights (in ft) of pro basketball players: x2n2 = 40
6.09 6.57 6.25 6.58 6.25 5.92 7.00 6.41 6.75 6.25
6.00 6.92 6.82 6.58 6.41 6.67 6.67 5.75 6.25 6.25
6.50 6.00 6.92 6.25 6.42 6.58 6.58 6.08 6.75 6.50
6.83 6.08 6.92 6.00 6.33 6.50 6.58 6.83 6.50 6.58
(a) Use a calculator with mean and standard deviation keys to calculate x1s1, x2, and s2. (Round your answers to three decimal places.)
x1 =  
s1 =  
x2 =  
s2 =  

(b) Let μ1 be the population mean for x1 and let μ2 be the population mean for x2. Find a 90% confidence interval for μ1 – μ2. (Round your answers to three decimal places.)
lower limit      
upper limit      
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