Question

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

Consider the following hypothesis test.

*H*_{0}:
*μ*_{d} ≤ 0

*H*_{a}:
*μ*_{d} > 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 | Difference | |
---|---|---|---|

1 | 2 | ||

1 | 21 | 19 | |

2 | 28 | 28 | |

3 | 18 | 17 | |

4 | 20 | 18 | |

5 | 26 | 26 |

(b)

Compute

*d*.

(c)

Compute the standard deviation

*s*_{d}.

(d)

Conduct a hypothesis test using

*α* = 0.05.

Calculate the test statistic. (Round your answer to three decimal places.)

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

*p*-value =

What is your conclusion?

Do not Reject *H*_{0}. There is sufficient
evidence to conclude that

*μ*_{d} > 0.

Reject *H*_{0}. There is insufficient evidence to
conclude that

*μ*_{d} > 0.

Reject *H*_{0}. There is
sufficient evidence to conclude that

*μ*_{d} > 0.

Do not reject *H*_{0}. There is insufficient
evidence to conclude that

*μ*_{d} > 0.

Answer #1

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)...

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
Difference
1
2
1
21
20
2
28
25
3
18
16
4
20
17
5
26
25
(b) Compute d.
(c) Compute the standard deviation sd.
(d) Conduct a hypothesis test using α = 0.05.
Calculate the test statistic....

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
Difference
1
2
1
21
19
2
28
27
3
18
17
4
20
17
5
26
23
(b)
Compute
d.
(c)
Compute the standard deviation
sd.
(d)
Conduct a hypothesis test using
α = 0.05.
Calculate the test statistic....

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 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 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....

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 = 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....

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
Difference
1
2
1
21
21
2
28
27
3
18
16
4
20
18
5
26
26
(b) Compute d. ( )
(c) Compute the standard deviation
sd. ( )
(d) Conduct a hypothesis test using α = 0.05....

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