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A study was conducted comparing two dependent samples with the statistical hypotheses $H_0: \mu_d = 0$ and $H_1: \mu_d < 0$. The following data was collected: | Sampling Unit | Before | After | |---|---|---| | 1 | 67.9 | 68.4 | | 2 | 72.6 | 81.3 | | 3 | 45.1 | 46.7 | | 4 | 47.8 | 45.2 | | 5 | 53.4 | 64.2 | | 6 | 77.3 | 90.4 | | 7 | 42.8 | 39.6 | | 8 | 52.1 | 57.4 | | 9 | 39.2 | 38.5 | | 10 | 63.6 | 74.5 | Against a significance level of $\alpha = 0.05$, calculate a confidence interval which would support the result of the hypothesis test. [-19.372, 10.492] [-8.798, -0.082] $(-\infty, 7.885)$ $(-\infty, -0.909]$

          A study was conducted comparing two dependent samples with the statistical hypotheses $H_0: \mu_d = 0$ and $H_1: \mu_d < 0$.
The following data was collected:

| Sampling Unit | Before | After |
|---|---|---|
| 1 | 67.9 | 68.4 |
| 2 | 72.6 | 81.3 |
| 3 | 45.1 | 46.7 |
| 4 | 47.8 | 45.2 |
| 5 | 53.4 | 64.2 |
| 6 | 77.3 | 90.4 |
| 7 | 42.8 | 39.6 |
| 8 | 52.1 | 57.4 |
| 9 | 39.2 | 38.5 |
| 10 | 63.6 | 74.5 |

Against a significance level of $\alpha = 0.05$, calculate a confidence interval which would support the result of the hypothesis test.
[-19.372, 10.492]
[-8.798, -0.082]
$(-\infty, 7.885)$
$(-\infty, -0.909]$

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a study was conducted comparing two dependent samples with the statistical hypotheses h0 mud 0 and h1 mud 0 the following data was collected sampling unit before after 1 679 684 2 726 81 32705

Added by Chad P.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Krishna G

03/07/2022

Step 1

This is a left-tailed test. The significance level is $\alpha = 0.05$. We need to find a confidence interval that would support the result of the hypothesis test. Since the alternative hypothesis is $H_1: \mu_d < 0$, we are looking for a confidence interval that Show more…

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A study was conducted comparing two dependent samples with the statistical hypotheses $H_0: \mu_d = 0$ and $H_1: \mu_d < 0$. The following data was collected: | Sampling Unit | Before | After | |---|---|---| | 1 | 67.9 | 68.4 | | 2 | 72.6 | 81.3 | | 3 | 45.1 | 46.7 | | 4 | 47.8 | 45.2 | | 5 | 53.4 | 64.2 | | 6 | 77.3 | 90.4 | | 7 | 42.8 | 39.6 | | 8 | 52.1 | 57.4 | | 9 | 39.2 | 38.5 | | 10 | 63.6 | 74.5 | Against a significance level of $\alpha = 0.05$, calculate a confidence interval which would support the result of the hypothesis test. [-19.372, 10.492] [-8.798, -0.082] $(-\infty, 7.885)$ $(-\infty, -0.909]$

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