Question

A golf association requires that golf balls have a diameter that is 1.68 inches. To determine if golf balls conform to the​ standard, a random sample of golf balls was selected. Their diameters are shown in the accompanying data table. Do the golf balls conform to the​ standards? Use the α=0.05 level of significance.

Diameter_(in.)
1.683
1.686
1.684
1.685
1.676
1.677
1.685
1.682
1.682
1.685
1.673
1.674

a) Find the test statistic

b) Find P-value approach

Answer 1

First we need to find the mean and SD of data. Following table shows the calculations:

	X	(X-mean)^2
	1.683	9E-06
	1.686	3.6E-05
	1.684	0.000016
	1.685	2.5E-05
	1.676	0.000016
	1.677	9E-06
	1.685	2.5E-05
	1.682	4E-06
	1.682	4E-06
	1.685	2.5E-05
	1.673	4.9E-05
	1.674	3.6E-05
Total	20.172	0.000254

a)

Conclusion: There is evidence to conlcude that the golf balls conform to the​ standards.

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