MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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To compare the driving distances for the two balls, 40 balls of both the new and current models were subjected to distance tests. The testing was performed with a mechanical hitting machine so that any difference between the mean distances for the two models could be attributed to a difference in the two models.
- Managerial Report
Prepare a managerial report that investigates the effect of the new coating on driving distances of golf balls by comparing driving distances for the two models.Consider the results of the tests, with distances measured to the nearest yard, in the complete data set.
Current New 263 276 260 270 266 262 271 265 257 261 282 252 257 263 265 288 258 287 269 265 262 275 263 267 283 261 262 272 259 259 282 282 254 249 271 262 265 279 267 265 269 273 286 260 288 263 279 279 271 275 274 282 264 275 259 270 277 269 274 263 280 284 273 249 272 252 262 259 274 269 266 262 278 260 273 256 275 264 261 278 Solve the questions given in the image attached using this data.
Transcribed Image Text:Hypothesis Test
Conduct a hypothesis test that Par could use to compare the driving distances of the current and new golf balls. (You may need to use the appropriate appendix table or technology to answer this question.)
Formulate hypotheses that can be used to determine whether the sample data support the hypothesis that the population mean driving distance for the current golf ball is longer than that of the new golf ball. Let
M₁ = population mean driving distance for the current golf ball and
M₂ = population mean driving distance for the new golf ball.
State the null and alternative hypotheses. (Enter != for as needed.)
Ho: Mì - 1250
Ha: M1-M₂0
Find the value of the test statistic. (Use μ₁ −μ₂. Round your answer to two decimal places.)
0.88
X
Find the p-value. (Round your answer to four decimal places.)
.1921
X
Using a = 0.05, state your conclusion.
The null hypothesis will not
Descriptive Statistics
Find the mean, standard deviation, and standard error for the driving distance (in yards) for current and new models of golf balls. (Round your answers to three decimal places.)
Mean
Current 269.275
New
267.45
Confidence Intervals
be rejected. There is not
yd to
yd to
Standard deviation Standard error
8.753
9.868
sufficient evidence to conclude that the population mean driving distance for the current golf ball is longer than that of the new golf ball.
You may need to use the appropriate appendix table or technology to answer this question.
Develop a 95% confidence interval for the population mean driving distance in yards of each model. (Round your answers to two decimal places.)
Current
New
yd
yd
Develop a 95% confidence interval for the difference between the means of the two populations. Use current - new. (Round your answers to two decimal places.)
-2.39
Xyd to 6.04
Xyd
Comment on the confidence intervals.
The confidence intervals for the population mean driving distance overlap
. The confidence interval for the difference between the means includes
evidence to conclude that the mean driving distance for the current golf ball is longer than that of the new golf ball.
zero. Thus, the result from the hypothesis test is confirmed
by the confidence intervals. That is, there is insufficient ✓
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