The accompanying table shows a sample of the driving distances (in yards) for two golfers. At $\alpha = 0.10$, can you conclude that the variances of the driving distances differ between the two golfers? Complete parts (a) through (e). Golfer 1 Golfer 2 233 241 230 232 252 249 258 226 276 278 254 272 233 243 250 252 266 268 263 270 (a) Identify the claim and state $H_0$ and $H_a$. Let $\sigma_1^2$ be the variance for golfer 1 and let $\sigma_2^2$ be the variance for golfer 2. Choose the correct answer below. A. $H_0: \sigma_1^2 = \sigma_2^2$ $H_a: \sigma_1^2 < \sigma_2^2$ (claim) C. $H_0: \sigma_1^2 = \sigma_2^2$ $H_a: \sigma_1^2 \ne \sigma_2^2$ (claim) (b) Calculate the test statistic. F = (Round to two decimal places as needed.) B. $H_0: \sigma_1^2 \le \sigma_2^2$ $H_a: \sigma_1^2 > \sigma_2^2$ (claim) D. $H_0: \sigma_1^2 \ne \sigma_2^2$ (claim) $H_a: \sigma_1^2 = \sigma_2^2$
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Step 1: The claim is that the variances of the driving distances differ between the two golfers. Show more…
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The following table indicates the driving distances, in yards, from a random sample of drives for the pro golfers Phil Mickelson, Tiger Woods, and Jim Furyk. Perform a one-way ANOVA using α = .05 to determine if there is a difference in the average driving distances of these three players. [Hint: Complete a hypothesis test to answer this question and perform a multiple comparison test to determine which pairs are different] Mickelson Woods Furyk 290 311 266 295 290 265 288 297 285 327 286 279 280 ANOVA Summary: Source | SS | df | MS | F | p-value -------------------------------------------------------------- Groups | 334169 | 2 | 167084 | 4.47 | 0.029 Error | 1659 | 12 | 138.25 | Total | 335828 | 14 |
Sri K.
(a) identify the claim and state $H_{0}$ and $H_{a}$ (b) find the critical value and identify the rejection region, (c) find the test statistic $F$,(d) decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. Assume the samples are random and independent, and the populations are normally distributed. If convenient, use technology. The table at the left shows a sample of the driving distances (in yards) for two golfers. At $\alpha=0.10,$ can you conclude that the variances of the driving distances differ between the two golfers?
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An amateur golfer wishes to determine if there is a difference between the drive distances of her two favorite drivers. (A driver is a specialized club for driving the golf ball down range.) She hits fourteen balls with driver A and 10 balls with driver B. The drive distances (in yards) for the trials are show below. Driver A 282 246 253 302 264 248 275 214 269 283 303 257 233 279 Driver B 249 235 251 269 218 252 220 292 263 239 Assume that the populations are approximately normal. Construct a 90% confidence interval for the difference between the mean drive distances for the two drivers. Based on your results, is it reasonable to conclude that the mean drive distances may be the same for drivers A and B? A) Yes B) No
Kari H.
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