Manu's Manufacturing produces ball bearings that should have a diameter of 0.500 mm. To maintain quality control, each hour a sample of 36 ball bearings is randomly selected for testing. To be within specification, the bearings must deviate by no more than 0.06 mm on average (SD). Are the sample ball bearings different than specification?

Diameter

0.468

0.452

0.354

0.456

0.471

0.468

0.521

0.513

0.474

0.477

0.48

0.521

0.421

0.465

0.447

0.529

0.499

0.421

0.476

0.395

0.405

0.44

0.446

0.476

0.448

0.558

0.411

0.57

0.405

0.448

0.346

0.526

0.453

0.319

0.557

0.346

Test whether the process is out of control in either direction at the .05 level of significance.

Assumptions Checks Normality:

p = ______ Met (ns).__ Violated (p < .01)__ ( check one)

Select the appropriate statistic

Test: _______

Why did you choose this over a t test? ____________

State the Null and the Alternative Hypothesis

Null: H0: _________

Alt: H1: _____________

Select a level of significance

Tails: _______-tail test, = _________

CV: 1.96

Calculate the Statistics

Stats: z = ___, p < _______, 95% CI[____, ____]

Descriptives: N = _______, M = _________, SD = _________, SE = _________

Make the decision!

Decision: Reject the null or fail to reject? _________

Is the process out of control? __________

Are the ball bearings too small, too large, just right?