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A research study showed that waitresses received significantly larger tips when they were wearing red T-shirts compared to other colors. The actual study used a repeated-measures design in which waitresses in five different restaurants wore the same T-shirt in six different colors (red, blue, green, yellow, black, and white) on different days during a six-week period. Each waitress recorded the average tip received while wearing red and the average while wearing another color and computed the difference between the two scores. A similar study also found that were higher when waitresses wore red, with a mean difference of MDD = 32 cents for each $10 of restaurant bill for a sample of n = 11 waitresses. If the difference scores had s² = 539, are the data sufficient to decide that tips are significantly higher when waitresses wear red? Test with a = .01.

A research study showed that waitresses received significantly larger tips when they were wearing red T-shirts compared to other colors. The actual study used a repeated-measures design in which waitresses in five different restaurants wore the same T-shirt in six different colors (red, blue, green, yellow, black, and white) on different days during a six-week period. Each waitress recorded the average tip received while wearing red and the average while wearing another color and computed the difference between the two scores. A similar study also found that were higher when waitresses wore red, with a mean difference of MDD = 32 cents for each $10 of restaurant bill for a sample of n = 11 waitresses. If the difference scores had s² = 539, are the data sufficient to decide that tips are significantly higher when waitresses wear red? Test with a = .01.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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  1. Formulate the hypotheses.
  2. Determine the critical value(s).
  3. Calculate the test statistic.
A research study showed that waitresses received significantly larger tips when they were wearing red T-shirts compared to other colors. The actual study used a repeated-measures design in which waitresses in five different restaurants wore the same T-shirt in six different colors (red, blue, green, yellow, black, and white) on different days during a six-week period. Each waitress recorded the average tip received while wearing red and the average while wearing another color and computed the difference between the two scores. A similar study also found that tips were higher when waitresses wore red, with a mean difference of MDD = 32 cents for each $10 of restaurant bill for a sample of n = 11 waitresses. If the difference scores had s? = 539, are the data sufficient to decide that tips are significantly higher when waitresses wear red? Test with a = .01.
Transcribed Image Text:A research study showed that waitresses received significantly larger tips when they were wearing red T-shirts compared to other colors. The actual study used a repeated-measures design in which waitresses in five different restaurants wore the same T-shirt in six different colors (red, blue, green, yellow, black, and white) on different days during a six-week period. Each waitress recorded the average tip received while wearing red and the average while wearing another color and computed the difference between the two scores. A similar study also found that tips were higher when waitresses wore red, with a mean difference of MDD = 32 cents for each $10 of restaurant bill for a sample of n = 11 waitresses. If the difference scores had s? = 539, are the data sufficient to decide that tips are significantly higher when waitresses wear red? Test with a = .01.
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