Question

Consider the following hypothesis test.

H_{0}: μ ≤ 12

H_{a}: 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 < 0.050

e. 0.010 < *p*-value < 0.025

*f. p*-value < 0.010

(c) At α = 0.05, what is your conclusion?

a. Do not reject *H*_{0}. There is insufficient
evidence to conclude that μ > 12.

b. Reject *H*_{0}. There is sufficient evidence
to conclude that μ > 12.

c. Do not reject *H*_{0}. There is sufficient
evidence to conclude that μ > 12.

d. Reject *H*_{0}. There is insufficient evidence
to conclude that μ > 12.

(d) What is the rejection rule using the critical value? (If the test is one-tailed, enter NONE for the unused tail. Round your answer to three decimal places.)

test statistic ≤ _______

test statistic ≥ _______

What is your conclusion?

a. Do not reject *H*_{0}. There is insufficient
evidence to conclude that μ > 12.

b. Reject *H*_{0}. There is sufficient evidence
to conclude that μ > 12.

c. Do not reject *H*_{0}. There is sufficient
evidence to conclude that μ > 12.

d. Reject *H*_{0}. There is insufficient evidence
to conclude that μ > 12.

Answer #1

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 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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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
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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
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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...

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Ha: μ < 50
A sample of 36 is used. Identify the p-value and state
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α = 0.01.
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x = 49 and s = 5.2
Find the value of the test statistic. (Round your answer to
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H0: μd ≤ 0
Ha: μd > 0
(a) The following data are from matched samples taken from two
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Element
Population
Difference
1
2
1
21
20
2
28
25
3
18
16
4
20
17
5
26
25
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A sample of 75 is used and the population standard deviation is
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(Round your test statistics to two decimal places and your
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Find the...

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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.)
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