The following data were obtained in an experiment designed to check whether there is a systematic difference in the weights obtained with two different scales: 1 2 5 6 7 Specimen Scale 1 (X) | 11.23 14.36 8.33 10.50 23.42 9.15 13.47 6.47 12.40 19.38 Scale 2 (Y) | 11.27 14.41 8.35 10.52 23.41 9.17 13.52 6.46 12.45 19.35 3 8 10 (a) Use the paired t test at the 0.05 level of significance to try to establish that the mean difference of the weights obtained with the two scales is nonzero. (b) Find a 95% confidence interval for the mean difference if the weights obtained with the two scales.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The following data were obtained in an experiment designed to check whether
there is a systematic difference in the weights obtained with two different scales:
1
Specimen
Scale 1 (X) 11.23 14.36 8.33 10.50 23.42 9.15 13.47 6.47 12.40 19.38
Scale 2 (Y) | 11.27 14.41 8.35 10.52 23.41 9.17 13.52 6.46 12.45 19.35
2
3
4
5
7
8
9
10
(a) Use the paired t test at the 0.05 level of significance to try to establish that
the mean difference of the weights obtained with the two scales is nonzero.
(b) Find a 95% confidence interval for the mean difference if the weights
obtained with the two scales.
Transcribed Image Text:The following data were obtained in an experiment designed to check whether there is a systematic difference in the weights obtained with two different scales: 1 Specimen Scale 1 (X) 11.23 14.36 8.33 10.50 23.42 9.15 13.47 6.47 12.40 19.38 Scale 2 (Y) | 11.27 14.41 8.35 10.52 23.41 9.17 13.52 6.46 12.45 19.35 2 3 4 5 7 8 9 10 (a) Use the paired t test at the 0.05 level of significance to try to establish that the mean difference of the weights obtained with the two scales is nonzero. (b) Find a 95% confidence interval for the mean difference if the weights obtained with the two scales.
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