Question

A forester wants to test if the mean height of pine trees is less than 55 feet. A sample of 64 trees

       yielded a sample mean of 50.7475 feet, and a sample standard deviation of 14 feet.

       What is the value of the test statistic?

Answer 1

Solution :

Given that,

= 55

= 50.7475

s = 14

n = 64

The null and alternative hypothesis is ,

H₀ :   = 55

H_a : < 55

This is the left tailed test .

Test statistic = t

= ( - ) / s / n

= (50.7475 - 55) / 14 / 64

= -2.43

The value of the test statistic is -2.43