Question

Chpt 12
	Pat's slices their cheesesteak steak with a Berkel 850A slicer which turns out
	steak slices with a mean thickness of 1.5mm & a standard deviation of .2mm in a sample
	of 22 slices. Ginos, who use a Chef's Choice 667, also sliced a sample of 16 slices
	with a mean of 1.5mm, but their standard deviation was .29mm. Pat's found this out
	& put up a sign saying, "Our steaks are more better than Gino's because our slices
	are more consistent & besides we can speak other languages!"
	At a level of confidence of 95%, is Pat's really more consistent?

Answer 1

Pat's slices their cheesesteak steak with a Berkel 850A slicer which turns out  
steak slices with a mean thickness of 1.5mm & a standard deviation of .2mm in a sample
of 22 slices.

The test hypotheses are

The test statisticis

Here there is no need of finding the test statistic.

The margin of error for Pat's slices is

The margin of error for Gino's slices is

Since the margin of error for Pat's slices is lesser than that of Gino's, Pat's really more consistent.