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8. Independent random samples of professional football and basketball players gave the follo information, Assume that the weight distributions are mound-shaped and symmetric. Weights (in Ib.) of pro football players: x,; n, = 21 245 262 255 251 244 276 240 265 257 252 282 256 250 264 270 275 245 275 253 265 270 Weights (in Ib.) of pro basketball players: x,; n, = 19 205 200 220 210 191 215 221 216 228 207 225 208 195 191 207 196 181 193 201 a. Determine the mean and sample standard deviation (s) for x,. b. Determine the mean and sample standard deviation (s) for x,. c. Find an 99% confidence interval for the difference of means.

8. Independent random samples of professional football and basketball players gave the follo information, Assume that the weight distributions are mound-shaped and symmetric. Weights (in Ib.) of pro football players: x,; n, = 21 245 262 255 251 244 276 240 265 257 252 282 256 250 264 270 275 245 275 253 265 270 Weights (in Ib.) of pro basketball players: x,; n, = 19 205 200 220 210 191 215 221 216 228 207 225 208 195 191 207 196 181 193 201 a. Determine the mean and sample standard deviation (s) for x,. b. Determine the mean and sample standard deviation (s) for x,. c. Find an 99% confidence interval for the difference of means.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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I JSTOR Infinite okhin - Day 68 Difference of Means Practice O Insert Format Tools Add-ons Help Last edit was seconds ago 100% Normal text Calibri BIU A 14 8. Independent random samples of professional football and basketball players gave the follow information, Assume that the weight distributions are mound-shaped and symmetric. Weights (in Ib.) of pro football players: x,; n, = 21 245 262 255 251 244 276 240 265 257 252 282 256 250 264 270 275 245 275 253 265 270 Weights (in Ib.) of pro basketball players: x,; n, = 19 205 200 220 210 191 215 221 216 228 207 225 208 195 191 207 196 181 193 201 a. Determine the mean and sample standard deviation (s) for x,. b. Determine the mean and sample standard deviation (s) for x,. c. Find an 99% confidence interval for the difference of means. d. What does this mean in the context of the problem (do pro football players tend to have a higher population mean weight than pro basketball players)? M ASUS
Transcribed Image Text:I JSTOR Infinite okhin - Day 68 Difference of Means Practice O Insert Format Tools Add-ons Help Last edit was seconds ago 100% Normal text Calibri BIU A 14 8. Independent random samples of professional football and basketball players gave the follow information, Assume that the weight distributions are mound-shaped and symmetric. Weights (in Ib.) of pro football players: x,; n, = 21 245 262 255 251 244 276 240 265 257 252 282 256 250 264 270 275 245 275 253 265 270 Weights (in Ib.) of pro basketball players: x,; n, = 19 205 200 220 210 191 215 221 216 228 207 225 208 195 191 207 196 181 193 201 a. Determine the mean and sample standard deviation (s) for x,. b. Determine the mean and sample standard deviation (s) for x,. c. Find an 99% confidence interval for the difference of means. d. What does this mean in the context of the problem (do pro football players tend to have a higher population mean weight than pro basketball players)? M ASUS
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Note:  Since we only answer up to 3 sub-parts, we'll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you'd like answered.

Given:

n1 = 21

n2 = 19

Formula Used:

Mean X = 1n∑Xi = Xi+X2+X3+......Xnn

Sample standard deviation S = ∑Xi-X2n-1

Confidence Interval for difference of means = X1-X2 ± t1-α/2, v S12n1+S22n2

 

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