Question

A golf association requires that golf balls have a diameter that is 1.68 inches. To determine if golf balls conform to the​ standards, a random sample of golf balls was selected. Their diameters are shown in the table. Complete parts​ (a) and​ (b).

Because the sample size is​ small, the engineer must verify that the diameter is normally distributed and the sample does not contain any outliers. The normal probability plot and boxplot are shown below.

1.682	1.677	1.681	1.685
1.678	1.686	1.684	1.684
1.673	1.685	1.682	1.675

Are the conditions for testing the hypothesis​ satisfied?

(b) Do the golf balls conform to the​ standards? Conduct a hypothesis test using the​ P-value approach and a level of significance of alpha=0.05.

First determine the appropriate hypotheses.

Find the test statistic. ​(Round to two decimal places as​ needed.)

Find the​ P-value. ​(Round to three decimal places as​ needed.)

Use the alpha=0.05 level of significance.

What can be concluded from the hypothesis​ test?

Answer 1