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(a)
To Explain: the confidence interval on the basis provided information.
(a)
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Answer to Problem 17.15AYK
Confidence interval is 0.8176 and 1.3278
Explanation of Solution
Given:
On the basis of given output of confidence interval is 0.8176 and 1.3278 which implies that there are 95% of surety that the mean difference in tremor amplitude with ACT device off and ACT device on for the patients diagnosed with essential tremor.
(b)
To find: the mean and standard deviation.
(b)
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Answer to Problem 17.15AYK
Explanation of Solution
Given:
ACT off | ACT on |
1.2 | 0.3 |
1.6 | 0.2 |
2 | 0.6 |
1 | 0.2 |
1.7 | 0.5 |
1.9 | 0.4 |
0.8 | 0.2 |
1.7 | 0.6 |
1.6 | 0.3 |
0.5 | 0.2 |
1.4 | 0.1 |
Formula used:
Calculation:
ACT off | ACT on | difference = ACT off-ACT on | d-
| |
1.2 | 0.3 | 0.9 | -0.17 | 0.03 |
1.6 | 0.2 | 1.4 | 0.33 | 0.11 |
2 | 0.6 | 1.4 | 0.33 | 0.11 |
1 | 0.2 | 0.8 | -0.27 | 0.07 |
1.7 | 0.5 | 1.2 | 0.13 | 0.02 |
1.9 | 0.4 | 1.5 | 0.43 | 0.18 |
0.8 | 0.2 | 0.6 | -0.47 | 0.22 |
1.7 | 0.6 | 1.1 | 0.03 | 0.00 |
1.6 | 0.3 | 1.3 | 0.23 | 0.05 |
0.5 | 0.2 | 0.3 | -0.77 | 0.60 |
1.4 | 0.1 | 1.3 | 0.23 | 0.05 |
Sum | 11.8 | 1.44 |
(c)
To find: the margin of error of a 95% confidence interval for the mean difference.
(c)
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Answer to Problem 17.15AYK
Margin of Error = 0.2546
Explanation of Solution
Given:
From the part (b)
Formula used:
Calculation:
For 0.05 level of significance and
Degree of Freedom
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Chapter 17 Solutions
Practice of Statistics in the Life Sciences
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