A sample of 45 observations is selected from a normal popula

A sample of 45 observations is selected from a normal population. The sample mean is 49, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.10 significance level.

H₁: 51

What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)

Solution

Z = [49 - 51 ] / [ 5 / srqt(45) ]

Z = -2 / 0.7454

Z = -2.683