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B.1. Control Charts (15 points) The dietitian at Aventura Hospital has warned that the meals delivered to patients contain too much sodium. For the past

B.1. Control Charts (15 points)

The dietitian at Aventura Hospital has warned that the meals delivered to patients contain too much sodium. For the past 10 days, she has sampled four batches of the entre du jour and recorded the sodium content per serving. Assume based on historical data that the average sodium content is 500 mg/serving, and the standard deviation is 25 mg.

Day

Sodium Content (mg/serving)

Batch 1

Batch 2

Batch 3

Batch 4

1

502

485

516

550

2

495

519

514

480

3

482

516

530

495

4

543

496

402

516

5

475

489

526

502

6

513

489

497

526

7

532

462

523

495

8

495

485

521

505

9

512

523

452

476

10

500

502

513

487

a) Is the process in control? Why or Why not?

b) Given the fact that the sodium content should be between 450 and 520 mg per serving for meal-type products, does the dietitian have a valid concern?

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