7.S.21 A student recorded the number of calories in each of 56 entrees-28 vegetarian and 28 nonvegetarian-served at a college dining hall.81 The following table summarizes the data. Graphs of the data (not given here) show that both distributions are reasonably symmetric and bell shaped. A 95% confidence interval for µ₁-₂ is (-27, 85). For each of the following, say whether the statement is true or false and say why. n Mean SD Vegetarian 28 351 119 Nonvegetarian 28 322 87 a. 95% of the data are between -27 and 85 calories. b. We are 95% confident that μ₁ - 2 is between -27 and 85 calories. c. 95% of the time Y₁ - Y₂ will be between -27 and 85 calories. d. 95% of the vegetarian entrees have between 27 fewer calories and 85 more calories than the average nonvegetarian
7.S.21 A student recorded the number of calories in each of 56 entrees-28 vegetarian and 28 nonvegetarian-served at a college dining hall.81 The following table summarizes the data. Graphs of the data (not given here) show that both distributions are reasonably symmetric and bell shaped. A 95% confidence interval for µ₁-₂ is (-27, 85). For each of the following, say whether the statement is true or false and say why. n Mean SD Vegetarian 28 351 119 Nonvegetarian 28 322 87 a. 95% of the data are between -27 and 85 calories. b. We are 95% confident that μ₁ - 2 is between -27 and 85 calories. c. 95% of the time Y₁ - Y₂ will be between -27 and 85 calories. d. 95% of the vegetarian entrees have between 27 fewer calories and 85 more calories than the average nonvegetarian
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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100%

Transcribed Image Text:7.S.21 A student recorded the number of calories in each of 56 entrees-28 vegetarian and 28 nonvegetarian-served at a
college dining hall.81 The following table summarizes the data. Graphs of the data (not given here) show that both distributions are
reasonably symmetric and bell shaped. A 95% confidence interval for μ₁ - ₂ is (-27, 85). For each of the following, say whether
the statement is true or false and say why.
n
Mean
SD
Vegetarian
28
351
119
Nonvegetarian
28
322
87
a. 95% of the data are between -27 and 85 calories.
b. We are 95% confident that μ₁ - 2 is between -27 and 85 calories.
c. 95% of the time Y₁ Y2 will be between -27 and 85 calories.
d. 95% of the vegetarian entrees have between 27 fewer calories and 85 more calories than the average nonvegetarian
entree.
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