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.]

A 90% confidence interval for the mean load required to pull apart pieces of Douglas fir, is \

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