What is the critical value that was used to create this 95% confidence interval? 

Less and fewer are often misused.  Distinguish between them by explanation of correct use and example.  

Now, on to the non-Strunk and White questions.

Often misused words: While / Although.   While is often incorrectly used in place of and, but, or although.    For example:  “Students in the Natural Resources Programs often have outdoor labs with their classes, while Accounting and Business majors do not” is not correct.  The writer should use although.   Under what circumstances is it correct to use while?  (I guess I am asking if you understand the definition of while)

Using question 17, write the standard interpretation for the confidence interval.

In my life, there are many tasks that need to be done on the weekend – laundry, meal prep, personal maintenance, home maintenance, preparation for lecture, etc.  That is my life.  Below write a short, simple, single sentence in the active voice about one of the tasks you accomplished last weekend.  

True or False? Clearly explain your answer. With all other values the same, the larger the confidence level, the larger the confidence interval. 

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.