1) Which of the following statements is true?

(a) We need to check for the sample size condition before conducting a hypothesis test if the hypothesis test requires the use of the central limit theorem.

(b) We need to check for the sample size condition before conducting a hypothesis test even if the hypothesis test does not require the use of the central limit theorem.

2) Consider the following hypothesis test for the mean of a numerical random variable. Which of the following statements is true?

H0 : = 0

H1 : !=(not equal) 0

(a) The distribution of the test statistic under the Null is a t distribution because the Null does not give us information about the random variable's standard deviation.

(b) The distribution of the test statistic under the Null is a standard normal distribution.

(c) The distribution of the test statistic under the Null is a t distribution because we do not have enough data.

(d) None of the above

3) Which of the following statements is true?

(a) If we reject the Null hypothesis H0 : 0 at = 0.05, the 95% confidence interval for will not contain 0.

(b) If we reject the Null hypothesis H0 : = 0 at = 0.05, the 95% confidence interval for will not contain 0.

(c) If we reject the Null hypothesis H0 : 0 at = 0.05, the 95% confidence interval for will not contain 0.

(d) None of the above

4) We would like to compare the sale quantities of monitors sold with warranties and monitors sold without warranties. Let 1 be the mean quantity of monitors sold with warranties. Let 2 be the mean quantity of monitors sold without warranties. The 95% confidence interval of 1 is [LB1, UB1]. The 95% confidence interval of 2 is [LB2, UB2]. Which of the following statements is true?

(a) The 95% confidence interval of 2 1 is [LB2 LB1, UB2 UB1]. (

b) The 95% confidence interval of 2 1 will contain LB2 LB1 and UB2 UB1.

(c) The 95% confidence interval of 2 1 will contain the difference in the sample means (x2 x1).

(d) None of the above.