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.

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