Four quantities influencing the power of a hypothesis test are the significance level, the sample size, the variability, and the difference one wishes to detect. Answer Questions 5-8 by selecting eitherDECREASESorINCREASESto fill in the blank. For all statements assume all other factors affecting power are held constant except the factor of interest in that particular statement.

When the significance level decreases from=0.05 to=0.01, the power of the hypothesis test ___________________________________.

When the sample size increases, the power of the hypothesis test ________________________________.

When the variability in the study decreases, the power of the hypothesis test ________________________________.

When the size of the difference one wishes to test decreases, the power of the hypothesis test_________________________________.

Measurements were made on nine widgets. You know that the distribution of widget measurements has historically been close to normal, but suppose that you do not know. To test if the population mean differs from 5 you obtain a 90% confidence interval for the mean using the t-procedure. The software output is below.

What is the value for the standard deviation (StDev) that is left off this output? (Round to two decimal places.)

Based on the 90% confidence interval, what is your conclusion for this hypothesis test:H0:=5vs.Ha:5.

Group of answer choices

The mean of the widget measurements is different from 5 because 5 does not fall in the 90% confidence interval.

There is not enough evidence that the mean of the widget measurements is different from 5 because 5 does not fall in the 90% confidence interval.

The mean of the widget measurements is different from 5 because 0 does not fall in the 90% confidence interval.

There is not enough evidence that the mean of the widget measurements is different from 5 because 0 does not fall in the 90% confidence interval.