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 ≤ 25
Ha: μ > 25
A sample of 40 provided a sample mean of 26.3. 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....

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

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