Who are taller, pro football players or pro basketball players? A random sample 45 pro football players resulted in a mean height of x-6.179 feet. A random sample 40 pro basketball players resulted in a mean height of y-6.453 feet. It is recognized that the true standard deviation of pro football players heights is Ох-0.47 feet while it is recognized that the true standard deviation of pro basketball players heights is ay0.55 feet. The true (unknown) mean of football players heights is Hx feet, while the true (unknown) mean of basketball players heights is y feet.
a) Variance of Xbar = 6.179/sqrt(45)= 0.92111
b) Variance of Ybar = 6.453/sqrt(40) = 1.02031
c) Variance of Xbar - Ybar = 0.92111+ 1.02031 = 1.94142
d) SD of Xbar - Ybar = 1.39335
e) Z critical value = +/- 1.881
g)
The 94% confidence interval is (6.179 - 6.453) +/- 1.881 * 1.39335 = (-2.89489135,2.34689135)
h)
Test Statistic Z = (6.179-6.453) / 1.39335 = -0.1967
i) P-value = 0.4220
j) P-value = 0.8440
Independent random samples of professional foctball and basketball players gave the following information. Heights (In ft) of pro football players: x1i n1 45 6.35 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 6.07 5.01 G.OD 6.50 5.83 5.91 5.67 6.0D .0B 6.17 6.58 6.50 6.25 Hcights (in ft) of pro basketball players: x2i n2 40 6.05 6.5S5 6.25 6.5 6.25 5.92 7.00 641 6.75 6.25 .00 6.92 6.83 6.5 .41 6.07 6.07...
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 = 21 249 261 254 251 244 276 240 265 257 252 282 256 250 264 270 275 245 275 253 265 270 Weights (in lb) of pro basketball players: x2; n2 = 19 203 200 220 210 192 215 222 216 228 207 225 208 195 191 207...
Expand Suppose that heights of male collegiate basketball players in a country are normally distributed with a mean of 75 in and a standard deviation of 3.6 in. A researcher wants to determine if the mean height of male collegiate basketball players in one particular conference is different from the national average. She obtains email addresses for all of the players in this conference and emails them asking for them to reply with their height Of the 573 emails she...
1/ The height of high school basketball players is known to be normally distributed with a standard deviation of 1.75 inches. In a random sample of eight high school basketball players, the heights (in inches) are recorded as 75, 82, 68, 74, 78, 70, 77, and 76. Construct a 95% confidence interval on the average height of all high school basketball players.
Independent random samples of professional football and basketball players gave the following Information. Assume that the weight distributions are Welghts (In Ib) of pro football players: xq; n = 21 244 262 256 251 244 276 240 265 257 252 282 256 250 264 270 275 245 275 253 265 271 Weights (in lb) of pro basketball players: Xy; n2 = 19 203 200 220 210 192 215 221 216 228 207 225 208 195 191 207 196 183 193...
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 = 21 244 262 255 251 244 276 240 265 257 252 282 256 250 264 270 275 245 275 253 265 271 Weights (in lb) of pro basketball players: x2; n2 = 19 205 200 220 210 192 215 222 216 228 207 225 208 195 191 207...
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 = 21 246 261 255 251 244 276 240 265 257 252 282 256 250 264 270 275 245 275 253 265 272 Weights (in lb) of pro basketball players: x2; n2 = 19 202 200 220 210 193 215 221 216 228 207 225 208 195 191 207...
Suppose that the mean height for Division III male basketball players is 75 inches with a standard deviation of 3 inches. Suppose we randomly sample 40 players and compute their mean height. Find the middle 92% for the mean height of 40 players from this distribution. Left hand boundary = Right hand boundary =
The data table contains frequency distribution of the heights of the players in a basketball league. a. Calculate the mean and standard deviation of this population. b. What is the probability that a sample mean of 40 players will be less than 69.5 in.? c. What is the probability that a sample mean of 40 players will be more than 71 in.? d. What is the probability that a sample mean of 40 players will be between 70 and 71.5...
1) The set of the weights of professional football players was found to have a mean of 275 lbs. with a standard deviation of 15 lbs. If there are a total of 1,650 pro football players in the US, what is the minimum number that weigh between 250 and 300 lbs.? 2) Scientists measured the area claimed by each Bengal tiger in a certain jungle. The mean area claimed was 30 square miles with s=2.8 mi2. At least 99% of...