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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 6.52 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 6.65 6.50 5.81 Heights (in ft) of pro basketball players: x2; n2 = 40 6.05 6.55 6.25 6.58 6.25 5.92 7.00 6.41 6.75 6.25 6.00 6.92 6.84 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 6.84 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

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 6.52 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 6.65 6.50 5.81 Heights (in ft) of pro basketball players: x2; n2 = 40 6.05 6.55 6.25 6.58 6.25 5.92 7.00 6.41 6.75 6.25 6.00 6.92 6.84 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 6.84 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 6.52 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 6.65 6.50 5.81
Heights (in ft) of pro basketball players: x2; n2 = 40
6.05 6.55 6.25 6.58 6.25 5.92 7.00 6.41 6.75 6.25
6.00 6.92 6.84 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 6.84 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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