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:

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.3: Shapes Of Distributions
Problem 20E
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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
Send data to Excel
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
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 Send data to Excel 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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