1. You are interested in finding a 90% confidence interval for the average commute that non-residential students have to their college. The data below show the number of commute miles for 12 randomly selected non-residential college students. Round answers to 3 decimal places where possible.

18

10

16

21

17

22

12

13

10

18

10

23

a. To compute the confidence interval use aZ OR T distribution? ______

b. With90% confidence the population mean commute for non-residential college students is between_______and _______miles.

c.If many groups of 12 randomly selected non-residential college students are surveyed, then a different confidence interval would be produced from each group. About______ percent of these confidence intervals will contain the true population mean number of commute miles and about________percent will not contain the true population mean number of commute miles.

2. In a survey, 22 people were asked how much they spent on their child's last birthday gift. The results were roughly bell-shaped with a mean of $50 and standard deviation of $6. Find the margin of error at a 95% confidence level. Give your answer to two decimal places.

1. _____

3. You work for the U.S. Food and Drug Administration. You have gotten word that a drug manufacturing is not accurately reporting the contents of their liquid cold medication. Under Federal Regulations, "Variations from stated quantity of contents shall not be unreasonably large" (see section q of the regulation byclicking here).

The company that produces the cold medication is claiming that each bottle contains 355 milliliters of cold medication, which is about 12 fluid ounces. In order to determine if they are accurate in their reporting, you decide to randomly select 20 different bottles of cold medication and measure the amount of cold medication in each bottle (in milliliters). The results of each sample are shown below.

Bottle Number	1	2	3	4	5	6	7	8	9	10
Milliliters	355	357	351	343	354	350	359	345	355	357

Bottle Number	11	12	13	14	15	16	17	18	19	20
Milliliters	351	351	352	360	357	343	355	342	355	355

a)Use the data shown above to construct a 97% confidence interval estimate for the mean amount of cold medication the company is putting in their bottles. Record the result below in the form of(#,#) Round your final answer to two decimal places. (______, _______)

b)Is the company putting the claimed 355 milliliters of cold medication in their bottles? Explain.

A. Yes, because 355 is inside of the confidence interval.

B. Yes, because 355 is not inside the confidence interval.

C. No, because 355 is inside the confidence interval.

D. No, because 355 is not inside the confidence interval.

(Please answer all questions and show work)