Question

Consider the following hypothesis test.

*H*_{0}: *μ* ≥ 20

*H*_{a}: *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 *H*_{0}. There is sufficient evidence to
conclude that *μ* < 20.Reject *H*_{0}.
There is insufficient evidence to conclude that *μ* <
20. Do not reject
*H*_{0}. There is sufficient evidence to conclude
that *μ* < 20.Do not reject *H*_{0}. There
is insufficient evidence to conclude that *μ* < 20.

(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.

Reject *H*_{0}. There is sufficient evidence to
conclude that *μ* < 20.Reject *H*_{0}.
There is insufficient evidence to conclude that *μ* <
20. Do not reject
*H*_{0}. There is sufficient evidence to conclude
that *μ* < 20.Do not reject *H*_{0}. There
is insufficient evidence to conclude that *μ* < 20.

Answer #1

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
conclude that μ > 25.
Reject H0. There is insufficient 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 <
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p-value < 0.025p-value <...

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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...

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H0: μ ≥ 55
Ha: 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 =
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Reject H0. There is insufficient 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
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(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,
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Do not reject H0. There is sufficient
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Consider the following hypothesis test. H0: p ≥ 0.75 Ha: p <
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