Question

2. 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 a= 0.05 level of significance.

Golf Ball Diameter

1.682 1.676 1.681

1.684 1.679 1.686

1.684 1.685 1.673

1.685 1.682 1.675

a. First determine the appropriate hypotheses.

H0: (p,o,u) (>,<,=,≠) BLANK

H1: (p,o,u) (>,<,=,≠) BLANK

b. Find the test statistic.

c. Find the​ P-value.

d. What can be concluded from the hypothesis​ test?

Do not reject H0.There is sufficient evidence to conclude that the golf balls do not conform to the​ association's standards at the a=0.05 level of significance.

B. Reject H0.There is not sufficient evidence to conclude that the golf balls do not conform to the​ association's standards at the a=0.05 level of significance.

C. Do not reject H0. There is not sufficient evidence to conclude that the golf balls do not conform to the​ association's standards at the a=0.05 level of significance.

D. Reject H0.There is sufficient evidence to conclude that the golf balls do not conform to the​ association's standards at the a=0.05 level of significance.

Answer 1

Answer:-

S.No.	Diameter	(Xi-xbar)2
1	1.682	0.000001
2	1.676	0.000025
3	1.681	0
4	1.684	0.000009
5	1.679	0.000004
6	1.686	0.000025
7	1.684	0.000009
8	1.685	0.000016
9	1.673	0.000064
10	1.685	0.000016
11	1.682	0.000001
12	1.675	0.000036
Total	20.172	0.000206

xbar = 20.172 ÷ 12 = 1.681

S2 = 0.000206 ÷ 11 = 0.00001873

Conclusion:-Do not reject H0. There is not sufficient evidence to conclude that the golf balls do not conform to the​ association's standards at the a=0.05 level of significance.