Comparing scales: In an experiment to determine whether there is a systematic difference between the weights obtained with two different scales, 10 rock 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 15.94 16.57 9.00 8.85 4 11.76 11.57 5 24.36 23.88 6. 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 u, represent the mean weight on Scale 1 and u, =µ, -µɔ. 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. 0 = Pri :°H

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test statistic

Determine whether to reject H0

State a conclusion

Let µ, represent the mean weight on Scale 1 and H, = H, - Hz.
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.
H;: H, < 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):
Transcribed Image Text:Let µ, represent the mean weight on Scale 1 and H, = H, - Hz. 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. H;: H, < 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):
Comparing scales: In an experiment to determine whether there is a systematic difference between the weights obtained with two different scales, 10 rock
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
6
9.88
10.09
7
14.14
13.93
8
7.05
6.85
13.39
13.82
10
20.16
20.90
Send data to Excel
Let
H, represent the mean weight on Scale 1 and u, = µ,- H.
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.
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 rock 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 6 9.88 10.09 7 14.14 13.93 8 7.05 6.85 13.39 13.82 10 20.16 20.90 Send data to Excel Let H, represent the mean weight on Scale 1 and u, = µ,- H. 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.
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