Question

Twelve different video games showing alcohol use were observed. The duration times of alcohol use were​ recorded, with the times​ (seconds) listed below. Assume that these sample data are used with a 0.10 significance level in a test of the claim that the population mean is greater than 90 sec. If we want to construct a confidence interval to be used for testing that​ claim, what confidence level should be used for a confidence​ interval? If the confidence interval is found to be 19.4 sec less than mu less than 195.8 ​sec, what should we conclude about the​ claim? 82 15 607 52 0 58 196 41 179 0 2 59

Answer 1

Here alpha is given as 0.10, so confidence level is 1-0.10=0.90

So we will use 90% confidence level to find the confidence interval

Here Confidence interval is (19.4,195.8)

Now claim is that mean is greater than 90 sec.

As we see that 90 and above values lies in the range of the CI, we conclude that there is sufficient evidence to support the claim that mean is greater than 90.

Which means for hypothesis vs

We will reject the null hypothesis.