Samples for three parts made at River City Parts Co were tak

Samples for three parts made at River City Parts Co. were taken.

Part     Nominal         Tolerance

1        1.750                            Æ 0.045

Part     Nominal         Tolerance

   2        2.000                         Æ 0.060

Part     Nominal         Tolerance

                        3        1.250                         Æ 0.030

River City Parts Co.

Sample Means and Standard Deviations

Part 1

Part 2

Part 3

1.74831

2.01144

1.25426

1.75740

2.00448

1.24775

1.75134

2.01492

1.24558

1.73316

2.00448

1.24992

1.75134

2.00448

1.23907

1.71498

2.00100

1.25860

1.75437

2.00796

1.25643

1.73619

2.00100

1.25209

1.73922

1.98708

1.25426

1.73619

1.99752

1.24341

1.74528

1.99752

1.25643

1.74831

2.00100

1.24775

1.76346

1.99404

1.24341

1.74528

2.00796

1.24558

1.76952

2.00448

1.23907

1.70892

2.00448

1.24124

1.75134

2.00100

1.24558

1.71195

1.99752

1.24992

1.74831

2.00100

1.25209

1.77861

2.00100

1.24992

1.75740

1.98708

1.24992

1.73619

1.99404

1.24558

1.74225

1.98708

1.24992

1.74528

1.98360

1.24775

1.73922

2.00100

1.24775

Will the production process permit an acceptable fit of all parts into a slot with a specification of 5 Æ 0.081 at least 99.73 percent of the time?

River City Parts Co.
Sample Means and Standard Deviations
Part 1		Part 2		Part 3
1.74831		2.01144		1.25426
1.75740		2.00448		1.24775
1.75134		2.01492		1.24558
1.73316		2.00448		1.24992
1.75134		2.00448		1.23907
1.71498		2.00100		1.25860
1.75437		2.00796		1.25643
1.73619		2.00100		1.25209
1.73922		1.98708		1.25426
1.73619		1.99752		1.24341
1.74528		1.99752		1.25643
1.74831		2.00100		1.24775
1.76346		1.99404		1.24341
1.74528		2.00796		1.24558
1.76952		2.00448		1.23907
1.70892		2.00448		1.24124
1.75134		2.00100		1.24558
1.71195		1.99752		1.24992
1.74831		2.00100		1.25209
1.77861		2.00100		1.24992
1.75740		1.98708		1.24992
1.73619		1.99404		1.24558
1.74225		1.98708		1.24992
1.74528		1.98360		1.24775
1.73922		2.00100		1.24775

Solution

No. Because it does not come under the standard deviation of the three parts.