Question

Consider the following hypothesis test.

H_{0}: μ ≥ 55

H_{a}: μ < 55

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 = 54 and s = 5.3

Find the value of the test statistic. (Round your answer to three decimal places.)

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

*p*-value =

State your conclusion.

Reject *H*_{0}. There is insufficient evidence to
conclude that μ < 55.Do not reject *H*_{0}. There
is sufficient evidence to conclude that μ <
55. Reject *H*_{0}.
There is sufficient evidence to conclude that μ < 55.Do not
reject *H*_{0}. There is insufficient evidence to
conclude that μ < 55.

(b)

x = 53 and s = 4.5

Find the value of the test statistic. (Round your answer to three decimal places.)

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

*p*-value =

State your conclusion.

Reject *H*_{0}. There is insufficient evidence to
conclude that μ < 55.Do not reject *H*_{0}. There
is sufficient evidence to conclude that μ <
55. Reject *H*_{0}.
There is sufficient evidence to conclude that μ < 55.Do not
reject *H*_{0}. There is insufficient evidence to
conclude that μ < 55.

(c)

x = 56 and s = 6.0

Find the value of the test statistic.

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

*p*-value =

State your conclusion.

Reject *H*_{0}. There is insufficient evidence to
conclude that μ < 55.Do not reject *H*_{0}. There
is sufficient evidence to conclude that μ <
55. Reject *H*_{0}.
There is sufficient evidence to conclude that μ < 55.Do not
reject *H*_{0}. There is insufficient evidence to
conclude that μ < 55.

Answer #1

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H0: μ ≥ 35
Ha: μ < 35
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 = 34 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
places.)
p-value =
State your conclusion.
Reject H0. There is sufficient evidence...

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...

Consider the following hypothesis test.
H0: μ = 15
Ha: μ ≠ 15
A sample of 50 provided a sample mean of 14.07. 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.
Reject H0. There is sufficient evidence to
conclude that μ ≠ 15.Reject H0. There
is...

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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
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Reject H0. There is insufficient evidence to...

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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
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not reject H0. There is sufficient evidence to...

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 = 4.65.
(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 <...

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...

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

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