eight distributions are mound-shaped and symmetric. Weights (in lb) of pro football players: x₁; ₁ 248 261 255 251 244 276 240 265 257 252 282 256 250 264 270 275 245 275 253 265 271 Weights (in lb) of pro basketball players: x₂; n.,

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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
248 261 255 251 244 276 240 265 257 252 282
256 250 264 270 275 245 275 253 265 271
Weights (in lb) of pro basketball players: x₂; n₂ = 19
205 200 220 210 193 215 223 216 228 207
225 208 195 191 207 196 181 193 201
LUSE SALT
(a) Use a calculator with mean and standard deviation keys to calculate x₁, S₁, X2, and 52. (Round your answers to
four decimal places.)
= 259.7619
$1 = 11.9286
x2
206.0000
$2 = 12.9186
X
(b) Let , be the population mean for x₁ and let ₂ be the population mean for X₂. Find a 99% confidence interval
for ₁-2₂. (Round your answers to one decimal place.)
lower limit 43.1
upper limit
64.4
XX
Transcribed Image Text: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 = 21 248 261 255 251 244 276 240 265 257 252 282 256 250 264 270 275 245 275 253 265 271 Weights (in lb) of pro basketball players: x₂; n₂ = 19 205 200 220 210 193 215 223 216 228 207 225 208 195 191 207 196 181 193 201 LUSE SALT (a) Use a calculator with mean and standard deviation keys to calculate x₁, S₁, X2, and 52. (Round your answers to four decimal places.) = 259.7619 $1 = 11.9286 x2 206.0000 $2 = 12.9186 X (b) Let , be the population mean for x₁ and let ₂ be the population mean for X₂. Find a 99% confidence interval for ₁-2₂. (Round your answers to one decimal place.) lower limit 43.1 upper limit 64.4 XX
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