Question

Independent random samples of 42 and 36 observations are drawn from two quantitative populations, 1 and 2, respectively. The sample data summary is shown here.

	Sample 1	Sample 2
Sample Size	42	36
Sample Mean	1.34	1.29
Sample Variance	0.0510	0.0560

Do the data present sufficient evidence to indicate that the mean for population 1 is larger than the mean for population 2?

Perform the hypothesis test for H₀: (μ₁ − μ₂) = 0 versus H_a: (μ₁ − μ₂) > 0, using the .10 level of significance.

(a)

What is the value of the test statistic? (Round your answer to two decimal places.)

z =

(b)

What conclusion can you make?

H₀ is not rejected. There is insufficient evidence to indicate that the mean for population 1 is larger than the mean for population 2.H₀ is rejected. There is insufficient evidence to indicate that the mean for population 1 is larger than the mean for population 2.    H₀ is not rejected. There is sufficient evidence to indicate that the mean for population 1 is larger than the mean for population 2.H₀ is rejected. There is sufficient evidence to indicate that the mean for population 1 is larger than the mean for population 2.

Answer 1

The statistical software output for this problem is :

(a)

test statistic = 4.10

(b)

There is sufficient evidence to indicate that the mean for population 1 is larger than the mean for population 2