Question

A new variety of pearl millet is expected to provide an increased yield over the variety presently in use which is about 50 bushels per acre. The new variety of millet produced an average yield of x = 56 bushels per acre with a standard deviation of s = 12.4 bushels based on 40 one-acre yields.

Find the value of the test statistic for testing the hypotheses that the new variety will increase yield. (Round your answer to two decimal places.)

Answer 1

Solution :

This is the two tailed test .

The null and alternative hypothesis is ,

H0 :   =50

Ha : 50

Test statistic = z

= ( - ) / s / n

= (56-50) / 12.40/ 40

Test statistic = 3.06