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 Ib) of pro football players: x,; n, = 21 243 262 256 251 244 276 240 265 257 252 282 256 250 264 270 275 245 275 253 265 270 Weights (in Ib) of pro basketball players: x,; n, = 19 204 200 220 210 193 215 222 216 228 207 225 208 195 191 207 196 182 193 201 In USE SALT (a) Use a calculator with mean and standard deviation keys to calculate x,, S,, X2, and s3. (Round your answers to four decimal places.) x =[ X2 = s2 = (b) Let u, be the population mean for x, and let u, be the population mean for x,. Find a 99% confidence interval for u, - Hz. (Round your answers to one decimal place.) lower limit upper limit (c) Examine the confidence interval and explain what it means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 99% level of fessionall foothall plavers tend to bave a higber population mean than haskethall nlavers?

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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 Ib) of pro football players: x,; n, = 21
243 262 256 251 244 276 240 265 257 252 282
256 250 264 270 275 245 275 253 265 270
Weights (in Ib) of pro basketball players: x,; n2 = 19
204 200 220 210 193 215 222 216 228 207
225 208 195 191 207 196 182 193 201
In USE SALT
(a) Use a calculator with mean and standard deviation keys to calculate x,, s,, x2, and s,. (Round your answers to four decimal places.)
x =
S1 =
X2 =
S2
(b) Let u, be the population mean for x, and let u, be the population mean for x,. Find a 99% confidence interval for u, - µ2. (Round your answers to one decimal place.)
lower limit
upper limit
(c) Examine the confidence interval and explain what it means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the
99% level of confidence, do professional football players tend to have a higher population mean weight than professional basketball players?
O Because the interval contains only negative numbers, we can say that professional football players have a lower mean weight than professional basketball players.
O Because the interval contains both positive and negative numbers, we cannot say that professional football players have a higher mean weight than professional basketball players.
O Because the interval contains only positive numbers, we can say that professional football players have a higher mean weight than professional basketball players.
(d) Which distribution did you use? Why?
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 Ib) of pro football players: x,; n, = 21 243 262 256 251 244 276 240 265 257 252 282 256 250 264 270 275 245 275 253 265 270 Weights (in Ib) of pro basketball players: x,; n2 = 19 204 200 220 210 193 215 222 216 228 207 225 208 195 191 207 196 182 193 201 In USE SALT (a) Use a calculator with mean and standard deviation keys to calculate x,, s,, x2, and s,. (Round your answers to four decimal places.) x = S1 = X2 = S2 (b) Let u, be the population mean for x, and let u, be the population mean for x,. Find a 99% confidence interval for u, - µ2. (Round your answers to one decimal place.) lower limit upper limit (c) Examine the confidence interval and explain what it means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 99% level of confidence, do professional football players tend to have a higher population mean weight than professional basketball players? O Because the interval contains only negative numbers, we can say that professional football players have a lower mean weight than professional basketball players. O Because the interval contains both positive and negative numbers, we cannot say that professional football players have a higher mean weight than professional basketball players. O Because the interval contains only positive numbers, we can say that professional football players have a higher mean weight than professional basketball players. (d) Which distribution did you use? Why?
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