Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time...
Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time during a week. A sample of 18 watches provided the following gains (+) or losses (−) in seconds per week.
| −0.43 | −0.22 | −0.42 | −0.37 | +0.27 | −0.23 | +0.32 | +0.54 | −0.19 |
| −0.29 | −0.34 | −0.55 | −0.44 | −0.56 | −0.05 | −0.19 | −0.24 | +0.08 |
- Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)
- Is it reasonable to conclude that the mean gain or loss in time for the watches is 0? Use the 0.01 significance level.
- Estimate the p-value.
Homework Answers
The statistical software output for this problem is:
Hg
One sample T hypothesis test:
μ : Mean of variable
H0 : μ = 0
HA : μ ≠ 0
Hypothesis test results:
| Variable | Sample Mean | Std. Err. | DF | T-Stat | P-value |
|---|---|---|---|---|---|
| Sample | -0.18388889 | 0.072441723 | 17 | -2.5384389 | 0.0212 |
Hence,
c) Test statistic = -2.538
b) No
c) p-value = 0.0212
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Watch Corporation of Switzerland claims that its watches on
average will neither gain nor lose time...
Watch Corporation of Switzerland claims that its watches on average will neither gain nor lose time...
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atch Corporation of Switzerland claims that its watches on average will neither gain nor lose time...
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