Reference no: EM132408973
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
247 261 256 251 244 276 240 265 257 252 282 256 250 264 270 275 245 275 253 265 270
Weights (in lb) of pro basketball players: x2; n2 = 19
205 200 220 210 192 215 223 216 228 207 225 208 195 191 207 196 183 193 201
(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 =
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=
c) Which distribution did you use? Why?
1. The Student's t-distribution was used because σ1 and σ2 are known.
2. The standard normal distribution was used because σ1 and σ2 are unknown.
3. The Student's t-distribution was used because σ1 and σ2 are unknown.
4. The standard normal distribution was used because σ1 and σ2 are known.
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