Question

**7) Answer the questions below for hypothesis A and
B.**

1.What is the test statistic? (Round to two decimal places as needed.)

2. What are the critical values? (Round to three decimal places as needed.)

3. Since the test statistic (falls/does not fall) in the rejection region, (reject/do not reject) Ho. There is (sufficient/ not sufficient) evidence to conclude that the mean of population 1 is different from population 2.

4.What is the P value?

5. Since the p-value is (greater then/less then) a, (reject, do not reject) Ho. There is (sufficient/ not sufficient) evidence to conclude that the mean of population 1 is different from population 2.

------------------------------------------------------------------------

**Hypothesis 1**

Ho; μ1−μ2=0

H1; μ1−μ2≠0

x1=224; x2=119

sigma1=65; sigma2=57

n1=47 n2=35

------------------------------------------------------------------------

**Hypothesis 2**

H0: μ1−μ2≥0

H1: μ1−μ2<0

x1=127; x2141

sigma1=36; sigma2=39

n1=55;n2=40

Answer #1

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.)...

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
x2 = 10.1
s1 = 5.7
s2 = 8.2
(a) What is the value of the test statistic? (Use x1
− x2. Round your answer to three decimal
places.)
(b) What is the degrees of...

Consider the following hypothesis test.
H0: μ1 − μ2 = 0
Ha: μ1 − μ2 ≠ 0
The following results are from independent samples taken from
two populations.
Sample 1
Sample 2
n1 = 35
n2 = 40
x1 = 13.6
x2 = 10.1
s1 = 5.8
s2 = 8.6
(a)
What is the value of the test statistic? (Use
x1 − x2.
Round your answer to three decimal places.)
(b)
What is the degrees of freedom for the t...

You may need to use the appropriate technology to answer this
question.
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
x2 = 10.1
s1 = 5.2
s2 = 8.6
(a) What is the value of the test statistic? (Use x1
− x2....

Consider the hypothesis statement shown below using
alphaequals0.05 and the data to the right from two independent
samples.
Upper H 0 : mu 1 minus mu 2 greater than or equals 0
Upper H 1 : mu 1 minus mu 2 less than 0
?a) Calculate the appropriate test statistic and interpret the
result.
?b) Calculate the? p-value and interpret the result.
x overbar1
equals
121
x overbar2
equals
137
sigma1
equals
40
sigma2
equals
34
n1
equals
45
n2...

A random sample of
n1 = 49
measurements from a population with population standard
deviation
σ1 = 5
had a sample mean of
x1 = 11.
An independent random sample of
n2 = 64
measurements from a second population with population standard
deviation
σ2 = 6
had a sample mean of
x2 = 14.
Test the claim that the population means are different. Use
level of significance 0.01.
(a) Check Requirements: What distribution does the sample test
statistic follow? Explain....

A random sample of
n1 = 49
measurements from a population with population standard
deviation
σ1 = 5
had a sample mean of
x1 = 8.
An independent random sample of
n2 = 64
measurements from a second population with population standard
deviation
σ2 = 6
had a sample mean of
x2 = 11.
Test the claim that the population means are different. Use
level of significance 0.01.(a) Check Requirements: What
distribution does the sample test statistic follow? Explain.
The...

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n1 = 49
measurements from a population with population standard
deviation
σ1 = 3
had a sample mean of
x1 = 13.
An independent random sample of
n2 = 64
measurements from a second population with population standard
deviation
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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(a) Check Requirements: What distribution does the sample test
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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...

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