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 distance hit by the legendary champion Byron Nelson. Ten randomly selected balls of two different brands are tested and the overall distance measured. Brand 1: 275, 286, 287, 271, 283, 271, 279, 275, 263, 267 Brand 2: 258, 244, 260, 265, 273, 281, 271, 270, 263, 268 a) Is there evidence to support the claim that the standard deviation of overall distance is the same for both brands of balls (use α = 0.05)? b) Is there evidence to support the claim that the mean of the overall distance is the same for both brands of balls (use α = 0.05)?

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.CR: Review Exercises
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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 distance hit by the legendary champion
Byron Nelson. Ten randomly selected balls of two different brands are tested and the overall
distance measured.
Brand 1: 275, 286, 287, 271, 283, 271, 279, 275, 263, 267
Brand 2: 258, 244, 260, 265, 273, 281, 271, 270, 263, 268
a) Is there evidence to support the claim that the standard deviation of overall distance is the
same for both brands of balls (use α = 0.05)?
b) Is there evidence to support the claim that the mean of the overall distance is the same for
both brands of balls (use α = 0.05)?
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 distance hit by the legendary champion Byron Nelson. Ten randomly selected balls of two different brands are tested and the overall distance measured. Brand 1: 275, 286, 287, 271, 283, 271, 279, 275, 263, 267 Brand 2: 258, 244, 260, 265, 273, 281, 271, 270, 263, 268 a) Is there evidence to support the claim that the standard deviation of overall distance is the same for both brands of balls (use α = 0.05)? b) Is there evidence to support the claim that the mean of the overall distance is the same for both brands of balls (use α = 0.05)?
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