A sample of 36 observations is selected from a normal popula

A sample of 36 observations is selected from a normal population. The sample mean is 12, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.01 significance level. H0: 10 H1: > 10 wHAT IS THE P VALUE

Solution

to find the p value we need first the value of Z test

Z = 12 - 10 / [ 3 / srqt(36) ]

Z = 2 / 0.5

z = 4

using the tables of Z distribution we have that the probability for z = 4 is

p value = 0.00003