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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3CYU
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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 1
271 287
Brand 2
276 264
260 265
283 271 273 281
279 275 271 270
263 267 263 268
287 271
(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
σ1
0₂
VI
VI
interval on a₁/a₂. Round your answer to three decimal places (e.g. 98.765).
Transcribed Image Text: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 1 271 287 Brand 2 276 264 260 265 283 271 273 281 279 275 271 270 263 267 263 268 287 271 (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 σ1 0₂ VI VI interval on a₁/a₂. Round your answer to three decimal places (e.g. 98.765).
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