1. If n=29, xx(x-bar)=42, and s=6, find the margin of error at a 95% confidence level Give your answer to two decimal places.

2. 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 by clicking 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	357	343	352	358	352	346	349	341	359	340

Bottle Number	11	12	13	14	15	16	17	18	19	20
Milliliters	356	343	356	354	359	348	349	345	357	359

a) Use the data shown above to construct a 94% 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.

• Yes, because 355 is inside of the confidence interval.
• Yes, because 355 is not inside the confidence interval.
• No, because 355 is inside the confidence interval.
• No, because 355 is not inside the confidence interval.