The makers of a specific aspirin want to be sure that their tablets contain the right amount of active ingredient (acetylsalicylic acid). So they inspect a sample of 36 tablets from a batch of production. When the production process is working properly, the tablets have an average of μ = 320 milligrams (mg) of acetylsalicylic acid with a standard deviation of σ=3 mg. Here are the amounts (in mg) of acetylsalicylic acid in the 36 selected tablets. 319 328 321 324 322 320 324 321 320 324 322 317

321 320 322 318 326 316 316 326 325 320 316 319

319 321 322 319 326 320 324 320 318 321 322 318

What do these data tell us about the mean acetylsalicylic acid content of the tablets in this batch? Should the company distribute these tablets to drugstores or dispose of the entire batch?

Find the numerical summary of the data provided. Include the mean (x-bar), standard deviation (Sx), and 5-number summary.

Provide two different graphical displays of the data. Create a histogram and box and whisker plot. Comment on the shape of the distributions.

Construct a 95% confidence interval to estimate the true mean acetylsalicylic acid content in this batch of tablets.

State the hypotheses using the correct symbol.
Construct the confidence interval.
Make your conclusion in context.

Carry out a hypothesis test at the α = .05 level. Include the conclusion in context.
STATE- Parameters (mean or proportion) and hypotheses
PLAN- Name the test (z or t, one sided or two sided) and state assumptions (random, normal, independent)
DO- Find z or t. Find the p value (look up on z table)
CONCLUDE- Conclude in context.

5. Based on your work, should the company distribute these tablets to drugstores or dispose of the entire batch?
Explain.