Question

You may need to use the appropriate appendix table or technology to answer this question.

Consider the following hypothesis test.

H_{0}: μ_{1} − μ_{2} = 0

H_{a}: μ_{1} − μ_{2} ≠ 0

The following results are for two independent samples taken from the two populations.

Sample 1 | Sample 2 |
---|---|

n |
n |

x |
x |

σ |
σ |

(a) What is the value of the test statistic?

(b) What is the *p*-value?

(c) With α = 0.05, what is your hypothesis testing conclusion?

Answer #1

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 following hypothesis test. H0: 1 - 2 ≤ 0 Ha: 1 - 2
> 0 The following results are for two independent samples taken
from the two populations. Sample 1 Sample 2 n1 = 40 n2 = 50 x1 =
25.2 x2 = 22.8 σ1 = 5.2 σ2 = 6.0 a. What is the value of the test
statistic (round to 2 decimals)? b. What is the p-value (round to 4
decimals)? Use z-table. c. With = .05,...

You may need to use the appropriate appendix table or technology
to answer this question.
The gap between the earnings of men and women with equal
education is narrowing but has not closed. Sample data for seven
men and seven women with bachelor's degrees are as follows. Data
are shown in thousands of dollars.
Men
Women
39.6
46.5
82.5
42.4
52.2
38.9
60.2
49.5
47.2
32.8
53.9
58.5
62.3
26.8
(a)
What is the median salary (in $) for men?...

You may need to use the appropriate appendix table or technology
to answer this question.
The gap between the earnings of men and women with equal
education is narrowing but has not closed. Sample data for seven
men and seven women with bachelor's degrees are as follows. Data
are shown in thousands of dollars.
Men
Women
32.6
41.5
80.5
40.4
50.2
35.9
66.2
42.5
44.2
30.8
59.9
55.5
60.3
21.8
(a)
What is the median salary (in $) for men?...

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 = 5.9
s2 = 8.5
(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...

ou may need to use the appropriate appendix table or technology
to answer this question.
The following data are product weights for the same items
produced on two different production lines.
Line 1
Line 2
13.6
13.7
13.8
14.1
14.0
14.2
13.9
14.0
13.4
14.6
13.2
13.5
13.3
14.4
13.6
14.8
12.9
14.5
14.4
14.3
15.0
14.9
Test for a difference between the product weights for the two
lines. Use α = 0.05.
State the null and alternative hypotheses.
H0:...

You may need to use the appropriate appendix table or technology
to answer this question.
Consider the following hypothesis test.
H0: p = 0.20
Ha: p ≠ 0.20
A sample of 500 provided a sample proportion
p = 0.175.
(a)
Compute 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.)
p-value =
(c)
At
α = 0.05,
what is your conclusion?
Do not reject...

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...

Given the information below that includes the sample size (n1
and n2) for each sample, the mean for each sample (x1 and x2) and
the estimated population standard deviations for each case( σ1 and
σ2), enter the p-value to test the following hypothesis at the 1%
significance level :
Ho : µ1 = µ2
Ha : µ1 > µ2
Sample 1
Sample 2
n1 = 10
n2 = 15
x1 = 115
x2 = 113
σ1 = 4.9
σ2 =...

You may need to use the appropriate appendix table or technology
to answer this question. Consider the following hypothesis test.
H0: μ = 15 Ha: μ ≠ 15 A sample of 50 provided a sample mean of
14.09. The population standard deviation is 3. (a) Find the value
of the test statistic. (Round your answer to two decimal places.)
(b) Find the p-value. (Round your answer to four decimal places.)
p-value = (c) At α = 0.05, state your conclusion....

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