Question

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.

*H*_{0}: The two populations of product weights
are identical.

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

*H*_{0}: Median for line 1 − Median for line 2 ≤
0

*H*_{a}: Median for line 1 − Median for line 2 >
0

*H*_{0}: Median for line 1 − Median for line 2
< 0

*H*_{a}: Median for line 1 − Median for line 2 =
0

*H*_{0}: The two populations of product weights
are not identical.

*H*_{a}: The two populations of product weights are
identical.

*H*_{0}: Median for line 1 − Median for line 2 ≥
0

*H*_{a}: Median for line 1 − Median for line 2 <
0

Find the value of the test statistic.

W =

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

*p*-value =

State your conclusion.

Reject *H*_{0}. There is not sufficient evidence
to conclude that there is a significant difference between the
product weights for the two lines.

Do not reject *H*_{0}. There is sufficient
evidence to conclude that there is a significant difference between
the product weights for the two lines.

Reject *H*_{0}. There is sufficient evidence to
conclude that there is a significant difference between the product
weights for the two lines.

Do not reject *H*_{0}. There is not sufficient
evidence to conclude that there is a significant difference between
the product weights for the two lines.

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
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?...

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 technology to answer this
question.
A sample of 15 consumers provided the following product ratings
for three different products. Five consumers were randomly assigned
to test and rate each product.
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
whether there is a significant difference among the ratings for the
products.
State the...

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.
Consider the following hypothesis test.
H0: μ ≤ 25
Ha: μ > 25
A sample of 40 provided a sample mean of 26.2. The population
standard deviation is 6.
(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 = 0.01,state your conclusion....

You may need to use the appropriate appendix table or technology
to answer this question.
Consider the following hypothesis test.
H0: μ ≤ 25
Ha: μ > 25
A sample of 40 provided a sample mean of 26.3. The population
standard deviation is 6.
(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 = 0.01,
state your conclusion....

ou may need to use the appropriate technology to answer this
question.
Consider the following hypothesis test.
H0: μ ≥ 50
Ha: μ < 50
A sample of 36 is used. Identify the p-value and state
your conclusion for each of the following sample results. Use
α = 0.01.
(a)
x = 49 and s = 5.2
Find the value of the test statistic. (Round your answer to
three decimal places.)
Find the p-value. (Round your answer to four decimal...

You may need to use the appropriate technology to answer this
question.
Consider the following hypothesis test.
H0: μd ≤ 0
Ha: μd > 0
(a) The following data are from matched samples taken from two
populations. Compute the difference value for each element. (Use
Population 1 − Population 2.)
Element
Population (1)
Population (2)
Difference
1
21
18
?
2
28
27
?
3
18
15
?
4
20
18
?
5
26
25
?
(b) Compute d.
(c)...

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