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

question 19

Short Answer

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.
Compute the test statistic.
Appropriate test: ____________________
Test statistic = ____________________

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Definitions:

Test Statistic

A quantity derived from sample data and used in statistical hypothesis testing to decide whether to reject the null hypothesis.

P-Value

The likelihood of witnessing outcomes in a test that are as extreme or more so than the observed ones, provided that the null hypothesis is accurate.

Randomized Block Experiment

An experimental design that aims to reduce the effects of variables known as blocks by randomly assigning treatments within each block.

Rank Sums

A statistic used in non-parametric tests that involves summing the ranks of observations in one of two samples when comparing medians.