2. The U.S. Golf Association requires that golf balls have a diameter of 42.68 m

Question

2. The U.S. Golf Association requires that golf balls have a diameter of 42.68 mm. A A engineer measures 18 new Maxfli XS golf balls to test the claim that the mean diameter of these new balls is different from 42.68 mm (Ha). The sample mean rd deviation of 0.17 mm. Use a significance level of a 0.05 to conduct a test of the claim. (NOTE: small sample) turns out to be 42.60 mm, with a sample standa (a) State the null and alternative hypotheses in symbolic form. Ho (b) Find the test statistic tto 3 decimal places. (c) Find the p-value for the test statistic to 3 decimal places. (d) State the decision: (f) State a conclusion: p-value =

Explanation / Answer

(a)

Ho:mean diameter of these new ball is not significantly differ from 42.68 mm.

Ha:mean diameter of these new ball is the significantly differ from 42.68 mm.

(b)

t=sqrt(n)*(Xbar-mu)/Sd

t=1.9965

(c)

pvalue=0.0621

(d)

p value>0.05

There is no enough evidence to reject the null hypothesis. Hence we Accept the null hypothesis.

(f)

mean diameter of these new ball is not significantly differ from 42.68 mm.

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