1. We wish to test the following hypotheses at a 5% level of significance:A random sample of size 15 is taken from the target population which follows a normal distribution.Which of the following is the correct rejection region in this situation?

A.t < 1.76

B.t > 1.76

C.t > 1.645

D.t < - 2.15

E.t > 2.15

2.Through extensive data collection, quality control experts have verified that the true mean weight of a wrapped Starburst candy is 5.1 grams, as advertised on the package. However, in a class activity where you selected and weighed 8 wrapped Starburst candies you obtained a p-value of 0.003 and concluded that the true mean weight of Starburst candies is not as advertised. What type of error was potentially made in this hypothesis test?

A.A Type II error

B.Neither a Type I nor a Type II error

C.Cannot be determined

D.A Type I error

E.Both a Type I and a Type II error

3.A house cleaning service claims that it can clean a four-bedroom house in less than 2 hours. A sample of n = 36 houses is taken and the sample mean is found to be 1.97 hours and the sample standard deviation is found to be 0.1 hours. Using a 0.05 level of significance the correct conclusion is:

A.do not reject the null because the test statistic (-1.8) is > the critical value (-1.96).

B.do not reject the null because the test statistic (-1.8) is < the critical value (-1.64).

C.reject the null because the test statistic (-1.8) is < the critical value (-1.64).

D.do not reject the null because the test statistic (-1.64) is > the critical value (-1.96).

E.reject the null because the test statistic (-1.8) is > the critical value (-1.96).