Question

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? For women?

men$ women$

(b)

Use *α* = 0.05 and conduct the hypothesis test for
identical population distributions.

State the null and alternative hypotheses.

*H*_{0}: Median salary for men − Median salary
for women ≥ 0

*H*_{a}: Median salary for men − Median salary for
women < 0*H*_{0}: The two populations of salaries
are not identical.

*H*_{a}: The two populations of salaries are
identical. *H*_{0}: Median
salary for men − Median salary for women ≤ 0

*H*_{a}: Median salary for men − Median salary for
women > 0*H*_{0}: Median salary for men − Median
salary for women > 0

*H*_{a}: Median salary for men − Median salary for
women = 0*H*_{0}: The two populations of salaries
are identical.

*H*_{a}: The two populations of salaries are not
identical.

Find the value of the test statistic.

*W* =

Find the *p*-value. (Round your answer to four decimal
places.)

*p*-value =

What is your conclusion?

Reject *H*_{0}. There is not sufficient evidence
to conclude that there is a significant difference between the
annual salaries of men and women.Do not reject
*H*_{0}.

There is sufficient evidence to conclude that there is a significant difference between the annual salaries of men and women.

Reject *H*_{0}. There is sufficient evidence to
conclude that there is a significant difference between the annual
salaries of men and women.

Do not reject *H*_{0}. There is not sufficient
evidence to conclude that there is a significant difference between
the annual salaries of men and women.

Answer #1

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?...

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
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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 technology to answer this
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A sample of 15 consumers provided the following product ratings
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Product
A
B
C
57
87
67
66
99
49
79
93
37
43
81
53
69
97
51
Use the Kruskal-Wallis test and α = 0.05 to determine
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Samples of starting annual salaries for individuals entering the
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Public
Accountant
Financial
Planner
50.2
49.0
59.8
50.2
57.3
54.1
57.2
56.9
53.2
50.9
55.0
52.6
51.9
50.7
59.5
54.9
58.0
52.8
52.9
49.9
(a)
Use a 0.05 level of significance and test the hypothesis that
there is no difference between the starting annual salaries of
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State the null and alternative...

Samples of starting annual salaries for individuals entering the
public accounting and financial planning professions follow. Annual
salaries are shown in thousands of dollars.
Public
Accountant
Financial
Planner
50.2
49.0
59.8
50.2
57.3
54.1
57.2
56.9
53.2
50.9
55.0
52.6
51.9
50.7
59.5
54.9
58.0
52.8
52.9
49.9
(a)
Use a 0.05 level of significance and test the hypothesis that
there is no difference between the starting annual salaries of
public accountants and financial planners.
State the null and alternative...

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...

You may need to use the appropriate appendix table or technology
to answer this question.
Consider the following hypothesis test.
H0: μ = 22
Ha: μ ≠ 22
A sample of 75 is used and the population standard deviation is
10. Compute the p-value and state your conclusion for each
of the following sample results. Use α = 0.01.
(Round your test statistics to two decimal places and your
p-values to four decimal places.)
(a) x = 24
Find the...

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....

You may need to use the appropriate appendix table or technology
to answer this question.
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Ha: μ > 25
A sample of 40 provided a sample mean of 26.2. The population
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(a) Find the value of the test statistic. (Round your answer to
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(b) Find the p-value. (Round your answer to four
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p-value = ?
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