Golf
a Round of Golf on Your Typical Course Requires $\alpha$

Essay

Golf
A round of golf on your typical course requires at least 4.5 hours.A particular golf club claims that the average length of time to complete a round of golf on their course is less than 4.5 hours.To test this claim,the club sampled 15 golfers and recorded their time to finish their round.The sample average was 4.4 hours with a standard deviation of 0.8 hours.Assume the time to complete a round of golf is normally distributed and use $\alpha$ = 0.01.
-Use the following information to test at a 0.01 level of significance.n = 400; p = 0.03;
H₀: $\pi \geq$ 0.05,H₁: $\pi$ < 0.05.
State the conclusion.