A golf tee manufacturer used a robot to hit balls off of their tee and acompetitor's tee using the same club. Assume that 106 balls were hit off eachtee, and the data are suitable for inference. Is there evidence that balls hit off themanufacturer's tee have a higher initialvelocity? (Assume a significance level of 0.05.)

Distance(yards)

Ball Velocity(mph)

Club Velocity(mph)

Avg.

SD

Avg.

SD

Avg.

SD

Competition

228.48

2.47

126.58

0.87

90.32

0.56

Manufacturer

230.88

2.93

127.91

0.34

90.32

0.52

compute the T- statistics

P- value