Question

Let X equal the number of pounds of butterfat produced by a Holstein cow during the305-day...

Let X equal the number of pounds of butterfat produced by a Holstein cow during the305-day milking period following the birth of a calf. We shall test the null hypothesis H0: σ = 100 against the alternative hypothesis H1: σ > 100 at α = 0.05, based on given data: n = 25, and a sample standard deviation of s = 150.

1. What is the type of the test?

a) Right-tailed

b) Left-tailed

c) Two-tailed

2. Calculate Observed Test Statistic

3. Find the Critical Value of Critical Region of the Test

4. Draw Your Conclusion of the Test at α = 0.05

a) Fail to Reject H0

b) Reject H0

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