Calculate the following for a hypothesis test where 𝐻0:𝜇=260 and 𝐻1:𝜇<260

Question

Suppose a random sample of  golfers be chosen so that their mean driving distance is  yards. The population standard deviation is . Use a 5% significance level.

Calculate the following for a hypothesis test where 𝐻0:𝜇=260  and 𝐻1:𝜇<260  

(a)  The test statistic is:

(b)  The P-Value is:

Answer 1

Test statistic is z_calc = (sample mean - population mean)/(population standard deviation/sqrt(sample size)).

This is a right tail test so p-value = P(z > z_calc) = 1 - P(z < z_calc), which can be looked up manually from standard normal probability table or using a statistical calculator or Excel.