Question 3 2 pts A researcher computed 90%, 95%, 98%, and 99% confidence interva

Question

Question 3 2 pts A researcher computed 90%, 95%, 98%, and 99% confidence intervals for a population mean. However, he forgot to record which interval was which, and he cannot find the sample data to allow him to recreate the intervals from scratch. He now needs only the 99% confidence interval. Which one is it? (37.9,42.1) 0 (38.4,41.6) 0(38.1,41.9) 0(38.7.41.3) Question 4 2 pts What would be the correct conclusion if we failed to reject the null hypothesis for HO: mu 5 and H1: mu>5 with x-bar- 6.27 There is not enough evidence to show that the true population mean equals There is not enough evidence to show that the true population mean is greater than5 There is enough evidence to show that the true population mean is 62 O No conclusion can be drawn Question 5 2 pts We want to test a hypothesis using a confidence interval we previously constructed. The 95% confidence interval for the mean is (22.34, 27.58). The alternative hypothesis is that the mean does not equal 25. What decision can we make? At a significance level of 0.05, we reject the null hypothesis since the specified population parameter value is in the interval O At a significance level of 0.10, we fail to reject the null hypothesis since the specified population parameter valuc is not in the interval O At a significance level of 0.05, we fail to reject the null hypothesis since the specithed population parameter value is in the interval.

Explanation / Answer

Question 3:

The 99% confidence interval would be the one with the highest interval length, as we have to be more sure that the population mean lies in that interval.

Therefore a) is the correct answer here: (37.9, 42.1 )

Question 4:

Failing to reject the null hypothesis would mean that we dont have enough evidence that the mean is more than 5. Therefore B is the correct answer here.

Question 5:

The 95% confidence interval given here is (22.34, 27.58)

Therefore with 0.05 level of significance, we cannot reject the null hypothesis here that the mean is 25 because 25 lies in the confidence interval. Therefore C is the correct answer here.

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