Question

# The weights of 52 randomly selected NFL football players are presented below. The sample mean is...

The weights of 52 randomly selected NFL football players are presented below. The sample mean is 248.38 and the sample standard deviation is 46.68. A 92% confidence interval for the mean weight of football players will be conducted by answering the questions below.

 305 265 287 285 290 235 300 230 195 236 244 194 190 307 218 315 265 210 194 216 255 300 315 190 185 183 313 246 212 201 308 270 241 242 306 237 315 215 200 295 187 204 257 185 255 318 230 316 200 324 245 185

a) What are the observational units?

b) Describe the variable collected.

c) Summarize the data by finding the quartiles, the median, the min and max.

d) Produce a boxplot for this data. Based on the boxplot, comment on whether you believe the data to be normally distributed.

e) What is the appropriate t critical value to use?

f) Show your work in producing the 92% confidence interval.

g) Interpret the interval.