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 | 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. (Round your answer to three decimal places.)

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

p-value =____

What is your conclusion?

Reject H0. There is sufficient evidence to conclude that μd > 0.

Do not reject H0. There is insufficient evidence to conclude that μd > 0.

Reject H0. There is insufficient evidence to conclude that μd > 0.

Do not Reject H0. There is sufficient evidence to conclude that μd > 0.

Answer #1

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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
18
2
28
27
3
18
15
4
20
19
5
26
24
B. Compute
d.
C. Compute the standard deviation
sd.
D. Conduct a hypothesis test using
α = 0.05.
Calculate the test statistic....

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: μ ≥ 20
Ha: μ < 20
A sample of 50 provided a sample mean of 19.3. The population
standard deviation is 2.
(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)
Using
α = 0.05,
state your conclusion.
Reject H0. There is sufficient evidence to
conclude that μ < 20.Reject H0.
There is...

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α = 0.05. (a) p = 0.67 Find the value of the test statistic. (Round
your answer to two decimal places.) Find the p-value. (Round your
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Consider the following hypothesis test.
H0: p = 0.30
Ha: p ≠ 0.30
A sample of 500 provided a sample proportion
p = 0.275.
(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 H0. There is sufficient
evidence to conclude that p ≠ 0.30.Do not reject
H0. There...

Consider the following hypothesis test.
H0: p = 0.20
Ha: p ≠ 0.20
A sample of 400 provided a sample proportion
p = 0.185.
(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 H0. There is sufficient
evidence to conclude that p ≠ 0.20.Reject
H0. There is sufficient...

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H0: μ ≤ 12
Ha: μ > 12
A sample of 25 provided a sample mean x = 14
and a sample standard deviation s = 4.65.
(a) Compute the value of the test statistic. (Round your answer
to three decimal places.)
(b) Use the t distribution table to compute a range for
the p-value.
a. p-value > 0.200
b. 0.100 < p-value <
0.200
c. 0.050 < p-value < 0.100
d. 0.025 < p-value...

Consider the following hypothesis test.
H0: μ ≤ 12
Ha: μ > 12
A sample of 25 provided a sample mean x = 14 and a sample
standard deviation s = 4.64.
(a)
Compute the value of the test statistic. (Round your answer to
three decimal places.)
(b)
Use the t distribution table to compute a range for the
p-value.
p-value > 0.2000.100 < p-value <
0.200 0.050 < p-value <
0.1000.025 < p-value < 0.0500.010 <
p-value < 0.025p-value <...

Consider the following competing hypotheses: Use Table 2.
H0: μD ≥ 0;
HA: μD < 0
d-bar = −2.3, sD = 7.5, n =
23
The following results are obtained using matched samples from
two normally distributed populations:
a.
At the 10% significance level, find the critical value(s).
(Negative value should be indicated by a minus sign. Round
intermediate calculations to 4 decimal places and final answer to 2
decimal places.)
Critical value
b.
Calculate the value of the...

Consider the following hypothesis test.H0: μ = 15Ha: μ ≠ 15A sample of 50 provided a sample mean of 14.11. 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)Atα = 0.05,state your conclusion.Reject H0. There is sufficient evidence to
conclude that μ ≠ 15.Reject H0. There
is insufficient evidence to conclude that μ ≠
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