Question

A sample of 15 buttons is randomly selected and the following diameters are measured in inches. Give a point estimate for the population standard deviation. Round your answer to three decimal places.

1.75,1.68,1.74,1.80,1.78,1.62,1.74,1.65,1.73,1.62,1.70,1.79,1.65,1.63,1.671.75,1.68,1.74,1.80,1.78,1.62,1.74,1.65,1.73,1.62,1.70,1.79,1.65,1.63,1.67

Answer 1

In this : X bar = 1.7029.

Create the following table.

data	data-mean	(data - mean)2
1.75	0.0471	0.00221841
1.68	-0.0229	0.00052441
1.74	0.0371	0.00137641
1.80	0.0971	0.00942841
1.78	0.0771	0.00594441
1.62	-0.0829	0.00687241
1.74	0.0371	0.00137641
1.65	-0.0529	0.00279841
1.73	0.0271	0.00073441
1.62	-0.0829	0.00687241
1.70	-0.0029	8.41E-6
1.79	0.0871	0.00758641
1.65	-0.0529	0.00279841
1.63	-0.0729	0.00531441
1.68	-0.0229	0.00052441
1.74	0.0371	0.00137641
1.80	0.0971	0.00942841
1.78	0.0771	0.00594441
1.62	-0.0829	0.00687241
1.74	0.0371	0.00137641
1.65	-0.0529	0.00279841
1.73	0.0271	0.00073441
1.62	-0.0829	0.00687241
1.70	-0.0029	8.41E-6
1.79	0.0871	0.00758641
1.65	-0.0529	0.00279841
1.63	-0.0729	0.00531441
1.67	-0.0329	0.00108241

So from the above table