1. The goal of the hypothesis test is to prove the null hypothesis. Select one:

True

False

2. Which of the following quantities does not affect the width of a confidence interval? Select one: a. The population size. b. The confidence level. c. The sample size. d. The sample proportion.

3 .A standard painkiller used for patients after minor surgeries is known to bring relief in 3.5 minutes on the average (). A new painkiller is hypothesized to bring faster relief to patients. To test this hypothesis, a sample of 19 patients with minor surgeries are selected and given the new painkillers. This sample yields a mean of 2.8 minutes and a standard deviation of 1.1 minutes. Do the data provide sufficient evidence to indicate that the new painkiller indeed works faster? Assume the times to relief are normally distributed and use = 0.05. QUESTION:

The correct decision and justification are: Select one: a. Reject H0 because z < 1.645. b. Do not reject H0 because the p-value is greater than = 0.05. c. Do not reject H0 because the test statistic does not fall in the rejection region. d. Reject H0 because the test statistic falls in the rejection region. e. Reject H0 because 2.8 < 3.5