Question

Consider the following hypothesis test.

H_{0}: μ_{1} − μ_{2} = 0

H_{a}: μ_{1} − μ_{2} ≠ 0

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

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

n |
n |

x |
x |

s |
s |

(a)

What is the value of the test statistic? (Use

x_{1} − x_{2}.

Round your answer to three decimal places.)

(b)

What is the degrees of freedom for the *t* distribution?
(Round your answer down to the nearest integer.)

(c)

What is the *p*-value? (Round your answer to four decimal
places.)

*p*-value =

(d)

At

α = 0.05,

what is your conclusion?

Do not Reject *H*_{0}. There is insufficient
evidence to conclude that μ_{1} − μ_{2} ≠ 0.Do not
Reject *H*_{0}. There is sufficient evidence to
conclude that μ_{1} − μ_{2} ≠
0. Reject *H*_{0}.
There is insufficient evidence to conclude that μ_{1} −
μ_{2} ≠ 0.Reject *H*_{0}. There is
sufficient evidence to conclude that μ_{1} − μ_{2}
≠ 0.

Answer #1

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...

Consider the following hypothesis test.
H0: μ1 − μ2 ≤ 0
Ha: μ1 − μ2 > 0
The following results are for two independent samples taken from
the two populations.
Sample 1
Sample 2
n1 = 40
n2 = 50
x1 = 25.7
x2 = 22.8
σ1 = 5.7
σ2 = 6
(a)
What is 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.)...

Consider the following hypothesis test.
H0: μ1 − μ2 = 0
Ha: μ1 − μ2 ≠ 0
The following results are for two independent samples taken from
the two populations.
Sample 1
Sample 2
n1 = 80
n2 = 70
x1 = 104
x2 = 106
σ1 = 8.4
σ2 = 7.5
(a)
What is 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.)...

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...

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: p ≥ 0.75 Ha: p <
0.75 A sample of 280 items was selected. Compute the p-value and
state your conclusion for each of the following sample results. Use
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
answer to four decimal places.) p-value = State your conclusion. Do
not reject H0. There is sufficient evidence to...

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...

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....

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