Question

The data to the right show the average retirement ages for a random sample of workers in Country A and a random sample of workers in Country B. Complete parts a and b.

Country A Country B

Sample mean 63.4 years 65.2 years

Sample size 40 40

Population standard deviation 4.3 years 5.4 years

a. Perform a hypothesis test using alpha α = 0.01 to determine if the average retirement age in Country B is higher than it is in Country A.

Let population 1 be the workers in Country A and population 2 be the workers in Country B. Identify the null and alternative hypotheses. Choose the correct answer below.

A. H0: μ1 − μ2 <0

H1: μ1-μ2 ≥0

B. H0: μ1 − μ2 ≠0

H1: μ1 − μ2 =0

C. H0: μ1 − μ2 ≥0

H1: μ1 − μ2 <0

D. H0: μ1−μ2≤0

H1: μ1−μ2>0

E. H0: μ1 − μ2 >0

H1: μ1 − μ2 ≤0

F. H0: μ1 − μ2 =0

H1: μ1 − μ2 ≠0

Calculate the appropriate test statistic.

The test statistic is . (Round to two decimal places as needed.)

Determine the appropriate critical value(s). The critical value(s) is(are) . (Round to two decimal places as needed. Use a comma to separate answers as needed.)

Since the test statistic ▼ falls/does not fall in the rejection region, ▼ do not reject/reject H0. There is ▼ sufficient/insufficient evidence to conclude that the average retirement age in Country B is higher than it is in Country A.

b. Determine the p-value and interpret the results. The p-value is . (Round to three decimal places as needed.) Since the p-value is ▼ equal to/less than/greater than α, ▼ do not reject/reject H0. There is ▼ sufficient/insufficient evidence to conclude that the average retirement age in Country B is higher than it is in Country A.

Answer #1

The data to the right show the average retirement ages for a
random sample of workers in Country A and a random sample of
workers in Country B. Complete parts below.
Country A Country B
Sample mean 62.2 years 64.7 years
Sample size 40 40
Population standard deviation 4.1 years 5.2 years
part a.) Perform a hypothesis test using alphaαequals=0.05 to
determine if the average retirement age in Country B is higher than
it is in Country A.
part b.)...

Consider the following hypothesis test.
H0: μ1 − μ2 ≤ 0
Ha: μ1 − μ2 > 0
The following results are for two independent samples taken from
the two populations.
Sample 1
Sample 2
n1 = 40
n2 = 50
x1 = 25.7
x2 = 22.8
σ1 = 5.7
σ2 = 6
(a)
What is the value of the test statistic? (Round your answer to
two decimal places.)
(b)
What is the p-value? (Round your answer to four decimal
places.)...

Consider the following hypothesis test.
H0: μ1 − μ2 = 0
Ha: μ1 − μ2 ≠ 0
The following results are for two independent samples taken from
the two populations.
Sample 1
Sample 2
n1 = 80
n2 = 70
x1 = 104
x2 = 106
σ1 = 8.4
σ2 = 7.5
(a)
What is the value of the test statistic? (Round your answer to
two decimal places.)
(b)
What is the p-value? (Round your answer to four decimal
places.)...

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An independent random sample of
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measurements from a second population with population standard
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σ2 = 6
had a sample mean of
x2 = 11.
Test the claim that the population means are different. Use
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The...

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had a sample mean of
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σ2 = 4
had a sample mean of
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Test the claim that the population means are different. Use
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You may need to use the appropriate technology to answer this
question.
Periodically, customers of a financial services company are
asked to evaluate the company's financial consultants and services.
Higher ratings on the client satisfaction survey indicate better
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x1: New England Crime
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3.5
3.9
4.0
4.1
3.3
4.1
1.8
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2.9
3.1
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Consider the following hypothesis test.
H0: μ1 − μ2 = 0
Ha: μ1 − μ2 ≠ 0
The following results are from independent samples taken from
two populations assuming the variances are unequal.
Sample 1
Sample 2
n1 = 35
n2 = 40
x1 = 13.6
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A random sample of n1 = 10 regions in New
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x1: New England Crime
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3.5
3.7
4.2
4.1
3.3
4.1
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Another random sample of n2 = 12 regions in
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