The overall distance traveled by a golf ball is tested by hitting the ball with Iron Byron, a mechanical golfer with a swing that is said to emulate the legendary champion, Byron Nelson. Ten randomly selected balls of two brands are tested and the overall dice measured. Assume the data are normally distributed. The data follow: Brand 2 Brand 1 271 287 287 271 260 265 283 271 279 275 263 267 276 264 273 281 271 270 263 268 (a) Is there evidence to show that there is a difference in the variance of the brands? Use a = 0.05. (b) Calculate a 95% two-sided confidence interval on a₁/a₂. Round your answer to three decimal places (e.g. 98.765). 0₂

A certain statistics instructor participates in triathlons. The accompanying table lists times​ (in minutes and​ seconds) he recorded while riding a bicycle for five laps through each mile of a​ 3-mile loop. Use a 0.05 significance level to test the claim that it takes the same time to ride each of the miles. Does one of the miles appear to have a​ hill?   LOADING... Click the icon to view the data table of the riding times.       Question content area bottom Part 1 Determine the null and alternative hypotheses.   H0​: ▼   mu 1 greater than mu 2 greater than mu 3μ1>μ2>μ3 mu 1 not equals mu 2 not equals mu 3μ1≠μ2≠μ3 Exactly two of the population means are different from each other.Exactly two of the population means are different from each other. At least one of the three population means is different from the others.At least one of the three population means is different from the others. mu 1 equals mu 2 equals mu 3μ1=μ2=μ3 H1​: ▼   mu 1 greater than mu 2…

A survey was given to 18 employees. One question asked about the one-way distance the employee had to travel for work. The results, in kilometers, are shown below. Kilometers Traveled for Work 12 10 18 3 4 28 5 32 26 10 41 85 1 7 8 5 10 15 Find the first quartile of the data.