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Home > CCA2 > Chapter 8 > Lesson 8.3.2 > Problem 8-150

8-150.
  1. Megan is an industrial engineer for Bowler Cola Company. She takes a random sample of cola cans from the production line each day to determine if the product meets various specifications. One of the measurements she records is the mass (in grams) of the filled cans. The following sorted data are from of a sample of 30 regular and diet cola cans.

  2. Note: The data is sorted so it is easy to work with without a statistical calculator. 8-150 HW eTool (CPM). Homework Help ✎

  3. Regular

    361

    362

    363

    365

    366

    366

    367

    367

    367

    368

    368

    368

    369

    369

    369

    369

    370

    370

    370

    370

    371

    371

    371

    371

    373

    375

    375

    376

    376

    380

    Checksum 11083

  4. Diet

    349

    349

    350

    351

    353

    353

    353

    354

    354

    354

    354

    355

    355

    355

    356

    357

    358

    361

    361

    361

    361

    361

    361

    362

    362

    363

    364

    365

    366

    366

    Checksum 10724

    1. Find the five number summary (minimum, third quartile, median, first quartile, maximum) for each soda.

    2. Make a combination histogram and boxplot for each type of soda. Include the five number summary. Use an interval of 348 to 384 grams on the x-axis and a bin width of 4 grams.

    3. Describe the center, shape, spread, and any outliers, of each histogram.

    4. Compare the two samples.

    5. Each can is marked as containing 12 fluid ounces. Twelve ounces is about 341 grams. Why is there so much variation from 341 grams in the samples?

Use your graphing calculator's Statistics function.

Use the eTool below to help you with this problem.
Click on the link at right for the full eTool version: CCA2 8-150 HW eTool