Question

Question 6 Golf-course designers have become concerned that old courses are becoming obsolete since new technology has given golfers the ability to hit the ball so far. Designers, therefore, have proposed that new golf courses need to be built expecting that the average golfer can hit the ball more than 230 yards on average. A random sample of 177 golfers show that their mean driving distance is 230.7 yards, with a standard deviation of 41.8. Set up the null and alternative hypotheses to test for the designers belief. O Ho:p2 230 versus H, :p < 230 OH:- 230.7 versus H, »#230.7 OH, :230.7 versus H, :P < 230.7 OH,:us 230.7 versus H, P> 230.7 OH :us 230 versus H, H> 230

Answer 1

H0: $\mu$ $\leq$ 230

Ha: $\mu$ > 230

7)

Test statistics

t = ($\bar{x}$ - $\mu$ ) / ( S / sqrt(n) )

=( 230.7 - 230) / ( 41.8 / sqrt(177) )

= 0.223

8)

From T table,

With test statistics of 0.223 and df of 176,

p-value = 0.4118