Question

A sample of 36 observations is selected from one population with a population standard deviation of 3.8. The sample mean is 100.5. A sample of 50 observations is selected from a second population with a population standard deviation of 4.4. The sample mean is 99.3. Conduct the following test of hypothesis using the 0.02 significance level.

H₀ : μ₁ = μ₂

H₁ : μ₁ ≠ μ₂

(a)	This is a (Click to select)twoone-tailed test.

(b)	State the decision rule. (Negative values should be indicated by a minus sign. Round your answer to 2 decimal places.)

  The decision rule is to reject H₀ if z is (Click to select)insideoutside the interval (, ).

(c)	Compute the value of the test statistic. (Round your answer to 2 decimal places.)

Value of the test statistic

(d)	What is your decision regarding H0?
	(Click to select)RejectDo not reject H0.

(e)	What is the p-value? (Round your answer to 4 decimal places.)

p-value

Answer 1

The statistical software output for this problem is:

Hence,

a) Two - tailed

b) Decision rule:

The decision rule is to reject Ho if z is outside the interval (-2.33, 2.33)

c) Test statistic = 1.35

d) Do not reject Ho

e) p - Value = 0.1765