Use the data shown above to construct a 96% 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.
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 | 342 | 353 | 357 | 353 | 351 | 348 | 352 | 359 | 354 | 358 |
| Bottle Number | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
|---|---|---|---|---|---|---|---|---|---|---|
| Milliliters | 342 | 351 | 341 | 353 | 352 | 344 | 348 | 355 | 349 | 353 |
a) Use the data shown above to construct a 96% confidence
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.
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