The owner of a major golf course believes that the course is

The owner of a major golf course believes that the course is so tough that most golfers rarely break par of 69. The scores from a random sample of 20 golfers are listed below. Test the club owner\'s hypothesis. Use alpha = 0.05.

Solution

Formulating the null and alternative hypotheses,              
              
Ho:   u   <=   69  
Ha:    u   >   69  
              
As we can see, this is a    right   tailed test.      
              
Thus, getting the critical t,              
df = n - 1 =    19          
tcrit =    +   1.729132812      
              
Getting the test statistic, as              
              
X = sample mean =    69.8          
uo = hypothesized mean =    69          
n = sample size =    20          
s = standard deviation =    3.847076812          
              
Thus, t = (X - uo) * sqrt(n) / s =    0.92998111          
              
Also, the p value is              
              
p =    0.182023442          
              
As t < 1.729, and P > 0.05, we   FAIL TO REJECT THE NULL HYPOTHESIS.          

Thus, there is no significant evidence to support the owner\'s hypothesis that the mean is greater than 69. [CONCLUSION]