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 0.01 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 -47.1 sec < μ <268.8 ​sec, what should we conclude about the​ claim?

83

13

626

53

0

57

211

45

185

0

2

55

a. The confidence level should be ___%.

b. What should we conclude about the​ claim?

The given confidence interval (does not contain, contains) the value of 90 ​sec, so there (is, is not) sufficient evidence to support the claim that the mean is greater than 90 sec.

Answer 1

(a)

Level of significance

So, confidence level is

(b)

We reject our null hypothesis if corresponding confidence interval does not contain null value (90 here). Hence, based on the given data we can conclude that the given confidence interval contains the value of 90 sec, so there is not sufficient evidence to support the claim that the mean is greater than 90 sec.