Question

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

Consider the following hypothesis test.

H_{0}: μ ≤ 25 |

H_{a}: 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.

a) Reject *H*_{0}. There is sufficient evidence
to conclude that *μ* > 25.

b) Reject *H*_{0}. There is insufficient evidence
to conclude that *μ* > 25.

c) Do not reject *H*_{0}. There is sufficient
evidence to conclude that *μ* > 25.

d) Do not reject *H*_{0}. There is insufficient
evidence to conclude that *μ* > 25.

(d) State the critical values for the rejection rule. (Round your answer to two decimal places. If the test is one-tailed, enter NONE for the unused tail.)

test statistic≤ ( ? )

test statistic≥ ( ? )

State your conclusion.

a) Reject *H*_{0}. There is sufficient evidence
to conclude that *μ* > 25.

b) Reject *H*_{0}. There is insufficient evidence
to conclude that *μ* >
25.

c) Do not reject *H*_{0}. There is sufficient
evidence to conclude that *μ* > 25.

d) Do not reject *H*_{0}. There is insufficient
evidence to conclude that *μ* > 25.

Answer #1

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: 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...

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...

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.)
(c)At α = 0.01, state your conclusion.
Reject H0. There is sufficient evidence to
conclude that μ > 25.
Reject H0. There is insufficient evidence to...

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 = 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 ≠
15. Do not rejectH0. There is sufficient...

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...

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
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
sd.
(d)...

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....

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