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 = 21 249 261 256 251 244 276 240 265 257 252 282 256 250 264 270 275 245 275 253 265 271 Weights (in lb) of pro basketball players: x2; n2 = 19 202 200 220 210 191 215 223 216 228 207 225 208 195 191 207 196 181 193 201 (a) Use a calculator with mean and standard deviation keys to calculate x1, s1, x2, and s2. (Round your answers to one decimal place.) x1 = 259.9 Correct: Your answer is correct. s1 = 11.7 Incorrect: Your answer is incorrect. x2 = 205.7 Correct: Your answer is correct. s2 = 12.7 Incorrect: Your answer is incorrect. (b) Let μ1 be the population mean for x1 and let μ2 be the population mean for x2. Find a 99% confidence interval for μ1 − μ2. (Round your answers to one decimal place.)

(a) Use a calculator with mean and standard deviation keys to calculate x₁, s₁, x₂, and s₂. (Round your answers to one decimal place.)

x1 =
s1 =
x2 =
s2 =

(b) Let μ₁ be the population mean for x₁ and let μ₂ be the population mean for x₂. Find a 99% confidence interval for μ₁ − μ₂. (Round your answers to one decimal place.)

lower limit
upper limit

Answer 1

a) Since we know that





b) Confidence interval(in %) = 99
z @ 99.0% = 2.5758

Required confidence interval = (259.8571-205.7368-9.9059, 259.8571-205.7368+9.9059)
Required confidence interval = (44.2144, 64.0262)
lower limit = 44.2
upper limit = 64.0

Please hit thumbs up if the answer helped you.