Question

Let X and Y equal the times in days required for maturation of Guardiola seeds fromnarrow-leaved and broad-leaved parents, respectively. Assume that X is N(μ_X, σ²_X) and Y is N(μ_Y, σ²_Y) and that X and Y are independent. Test the hypothesis H₀: σ²_X / σ²_Y = 1 against the alternative hypothesis H₀: σ²_X / σ²_Y > 1 at  α = 0.05, given n_X = 25, sample mean of 18 from X , and sample standard deviation of s_X = 8, and n_Y = 25, sample mean of  24 from Y, and  sample standard deviation of sY = 6.

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

Answer 1

Answer:-

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