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 alphaα equals=0.01 level of significance.

First determine the appropriate hypotheses.

Upper H0​:

▼

sigmaσ

muμ

pp

▼

not equals≠

equals=

greater than>

less than<

nothing

Upper H1​:

▼

muμ

sigmaσ

pp

▼

not equals≠

less than<

equals=

greater than>

nothing

Answer 1

It is given that the golf association requires that golf balls have a diameter that is 1.68 inches.

So,we can write population mean = = 1.68

Now, we have to check whether golf balls conform to the​ standard, i.e. whether it is equal to 1.68 inches or not.

So, it is clearly a two tailed hypothesis testing because we are interested in testing whether it is equal to 1.68 or not, means either less than or greater than 1.68.

For null hypothesis, we assume that the diameter of golf balls is equal to 1.68 inches and for alternate hypothesis, we assume that the diameter of golf balls is not equal to 1.68 inches

Mathematically, we can write these hypotheses as