Using question 29, state the value of the test statistic and p-value.

A proposed new procedure for knee reconstruction is being evaluated at a major research hospital. The new procedure would reduce costs by 40%, but there is concern that the patient recovery time will be longer. A comparative study was undertaken with 30 randomly selected patients treated with the new procedure and 40 randomly selected patients treated with the old procedure. The 30 patients on the new procedure had a mean recovery time of 35.9 days with a standard deviation of 6.2 days. In contrast, the 40 patients on the old procedure had a mean recovery time of 34.1 with a standard deviation of 7.1 days. Perform an appropriate test to determine if patients on the new procedure had a significantly greater average recovery time than patients on the old procedure. Use a 0.01 significance level. State the null and alternative hypotheses for this situation. 

To test a new vaccine designed to prevent children contracting a virus, researchers randomly assigned 2,000 children to one of two groups. The first group, 1,000 of the children received the new vaccine, while the second group, contained 1,000 children were given a placebo. Of the children who received the vaccine, 30 contracted the virus. Of the children who received the placebo, 45 contracted the virus. Is there sufficient evidence to conclude that the use of new vaccine leads to a true proportion of children who will contract the virus that is lower than for those given the placebo? Conduct the test at the 0.05 significance level. State the null and alternative for this situation. 

Following the guidance of Strunk and White, write a short sentence below that correctly ends with an exclamation point.

When we talked about writing for resumes as well as interviewing for positions, we discussed the PSR method of describing a situation that demonstrated your skills.  This was useful for both detailing your work history in your resume, or in responding to an interview question.  What does the acronym PSR refer to?

Using question 29, state the conclusion (in clear English).

One of Strunk and White’s rules is to “Write with nouns and verbs.”   What does that mean?

Since the Fair Labor Standards Act was passed in 1938, the standard work week in the United States has been 40 hours. Suppose that this data set on StatCrunch shows the number of hours worked in a week for a random sample of 50 U.S. workers. Do the data provide evidence that the true mean number of hours worked is different than 40 hours? State the null and alternative hypotheses for this situation. 

Select which of the following statement(s) is/are true about hypothesis test. Note: there may be more than one true statement.

Using question 5, compute the 95% confidence interval for the unknown population parameter, the true mean number of hours worked by U.S. workers. Write the lower and upper bounds of your confidence interval to one decimal place.