Golf Robots. Serious golfers and golf equipment companies sometimes use golf equipment testing labs to obtain precise information about particular club heads, club shafts, and golf balls. One golfer requested information about the Cobra S3 MAX 9-iron from a certain golf laboratory. The lab tested the club by using a robot to hit a Titleist NXT Tour ball six times with a head velocity of 80 miles per hour. The golfer wanted a club that, on average, would hit the ball more than 200 yards at that club speed. The total yards each ball traveled was as follows.

204 206 200 208 203 201

a. At the 5% significance level, do the data provide sufficient evidence to conclude that the club does what the golfer wants? (Note:

The sample mean and sample standard deviation of the data are 203.67 yards and 3.01 yards, respectively.)

b. Repeat part

(a) for a test at the 1% significance level.