Comparing scales: In an experiment to determine whether there is a systematic difference between the weights obtained with two different scales, 10 specimens were weighed, in grams, on each scale. The following data were obtained:
Comparing scales: In an experiment to determine whether there is a systematic difference between the weights obtained with two different scales, 10 specimens were weighed, in grams, on each scale. The following data were obtained:
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:Comparing scales: In an experiment to determine whether there is a systematic difference between the weights obtained with two different scales, 10 m
specimens were weighed, in grams, on each scale. The following data were obtained:
Specimen Weight on Scale 1
Weight on Scale 2
1
11.90
12.28
2
15.94
16.57
3
9.00
8.85
4
11.76
11.57
5
24.36
23.88
9.88
10.09
7
14.14
13.93
8
7.05
6.85
9
13.39
13.82
10
20.16
20.90
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Let ₁ represent the mean weight on Scale 1 and ₂ = μ₁ −µ₂²
Can you conclude that the mean weight on Scale 1 is less than the mean weight on Scale 2? Use the a= 0.01 level of significance.
Part 1 of 5
(a) State the null and alternate hypotheses.
Ho: Pa
= 0
H₁ <0
This hypothesis test is a left-tailed
test.
Part: 1 / 5
Part 2 of 5
Find the critical value. Round the answer to three decimal places. If there is more than one critical value, separate them with commas.
The critical value(s):
16
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