Question

Rendezvous Golf Course reports an average score of 73.2 strokes per game on the pro tour with a standard deviation of 2.8. Recently they made some design changes to some holes on the course and they are curious if the course average has changed. Using a 1% level of significance conduct a hypothesis test if a sample of 50 rounds of golf had a mean score of 72.1 strokes.

try
to handwrite full solutions

Answer #1

H0: = 73.2

Ha: 73.2

Test Statistic :-

Z = ( X̅ - µ ) / ( σ / √(n))

Z = ( 72.1 - 73.2 ) / ( 2.8 / √( 50 ))

Z = -2.78

Test Criteria :-

Reject null hypothesis if | Z | > Z( α/2 )

Critical value Z(α/2) = Z( 0.01 /2 ) = 2.576

| Z | > Z( α/2 ) = 2.78 > 2.576

Result :- Reject null hypothesis

We have sufficient evidence to support the claim that the course average has changed,

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 26 minutes ago

asked 38 minutes ago

asked 43 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago