A 90 confidence interval for the mean load required to pull
A 90% confidence interval for the mean load required to pull apart pieces of Douglas fir, is \"29,737.5 to 31,944.5\". Use this interval to answer the following questions:
1) Is there significant evidence at the = 0.10 level against the hypothesis that the mean is 29,500 pounds for the two-sided alternative?
2) in a statistical test of hypotheses, we say the data are statistically significant at level if:
| A. | Yes, because the value 29,500 is included in the confidence interval. |
| B. | Yes, because the value 29,500 is not included in the confidence interval. |
| C. | No, because the value 29,500 is included in the confidence interval. |
| D. | No, because the value 29,500 is not included in the confidence interval. |
Solution
1.
As we can see, 29500 is not inside the interval.
OPTION B: Yes, because the value 29,500 is not included in the confidence interval. [ANSWER, B]
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2.
By defintion,
OPTION C: the P-value is less than . [ANSWER, C]
[In this case, we say that the result is \"rare enough\" so that it didn\'t happen by just chance.]
