15. A manufacturer of furniture claims that the company's new model of bookshelves is easier to assemble than the old model. To test the claim, 7 people were assigned to assemble bookshelves from each of the two models. Here are the times (in minutes) they needed to assemble the bookshelves. Old model New model 1 17 15 2 22 19 Person 3 20 18 4 14 13 5 15 15 6 21 19 7 24 23 a) Construct a 95% confidence interval for the differences. b) Test if the mean assembly time for the new model is shorter than that of the old model using a = 0.05. c) Now consider the data as two independent samples and conduct the test as a two sample test. Assume equal variances. Is the decision reversed?
15. A manufacturer of furniture claims that the company's new model of bookshelves is easier to assemble than the old model. To test the claim, 7 people were assigned to assemble bookshelves from each of the two models. Here are the times (in minutes) they needed to assemble the bookshelves. Old model New model 1 17 15 2 22 19 Person 3 20 18 4 14 13 5 15 15 6 21 19 7 24 23 a) Construct a 95% confidence interval for the differences. b) Test if the mean assembly time for the new model is shorter than that of the old model using a = 0.05. c) Now consider the data as two independent samples and conduct the test as a two sample test. Assume equal variances. Is the decision reversed?
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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Transcribed Image Text:15. A manufacturer of furniture claims that the company's new model of bookshelves is
easier to assemble than the old model. To test the claim, 7 people were assigned to
assemble bookshelves from each of the two models. Here are the times (in minutes) they
needed to assemble the bookshelves.
Old model
New model
1
17
15
2
22
19
Person
3
20
18
4
14
13
5
15
15
6
21
19
7
24
23
a) Construct a 95% confidence interval for the differences.
b) Test if the mean assembly time for the new model is shorter than that of the old model
using a = 0.05.
c) Now consider the data as two independent samples and conduct the test as a two
sample test. Assume equal variances. Is the decision reversed?
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