Question

A sample of 6 observations from the population indicated that sample variance s₁² is 529. A second sample of 5 observations from the same population indicated that sample variance s₂² is 256. Conduct the following test of hypothesis using a 0.1 significance level.

  H₀: σ₁² = σ₂²
  H₁: σ₁² ≠ σ₂²

You should use the tables in the book for obtaining the F values.
For full marks your answer should be accurate to at least two decimal places.

a)

State the decision rule.

	Reject H0 in favour of H1 if the computed value of the statistic is greater than FR.
	Reject H0 in favour of H1 if the computed value of the statistic is less than FR.
	Reject H0 in favour of H1 if the computed value of the statistic is greater than or equal to FR.
	Reject H0 in favour of H1 if the computed value of the statistic is less than or equal to FR.
	None of the above

b) Compute the right F critical value.

F_R critical value: 0

c) What is the value of the test statistic?

F-Test statistic: 0

d)

What is your decision regarding H₀?

	There is sufficient evidence, at the given significance level, to reject H0 and accept H1.
	There is insufficient evidence, at the given significance level, to reject H0 and so H0 will be accepted or at least not be rejected.
	There is insufficient evidence to make it clear as to whether we should reject or not reject the null hypothesis.

Answer 1