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Statistics - Confidence Interval and Hypothesis Testing

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2. A sample of 81 observations is taken from a normal population. The sample mean is 40, and the sample standard deviation of 5. Determine the 95 percent confidence interval for the population mean.
3. Merrill Lynch Securities and Health Care Retirement, Inc, are two large employers in down Toledo, OH. They are considering jointly offering child care for their employees. ...
4. The Greater Pittsburgh Area Chamber of Commerce wants to estimate the mean time workers who are employed in the downtown area spend getting to work. A sample of 15 ...
5. The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. ...
6. The MacBurger restaurant chain claims that the waiting time of customers for service is normally distributed, with a mean of 3 minutes and a standard deviation of 1 minute ...

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Hypothesis test, descriptive statistics, confidence intervals

Please see attached for fully formatted question.

Model Model Model Model
Current New Current New Current New Current New
264 277 270 272 263 274 281 283
261 269 287 259 264 266 274 250
267 263 289 264 284 262 273 253
272 266 280 280 263 271 263 260
258 262 272 274 260 260 275 270
283 251 275 281 283 281 267 263
258 262 265 276 255 250 279 261
266 289 260 269 272 263 274 255
259 286 278 268 266 278 276 263
270 264 275 262 268 264 262 279

1. Formulate and present the rational for a hypothesis test that Par could use to compare the driving distances of the current and new gold balls.
2. Analyze the data to provide the hypothesis testing conclusion. What is the p-value for your test? What is your recommendation for Par. Inc?
3. Provide descriptive statistical summaries of the data for each model.
4. What is the 95% confidence interval for the population mean of each model, and what is the 95% confidence interval for the difference between the means of the two populations?
5. Do you see a need for larger samples sizes and more testing with the golf balls? Discuss

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