Question

Consider the following hypothesis test.

H_{0}: μ ≥ 35

H_{a}: 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 *H*_{0}. There is sufficient evidence to
conclude that μ < 35.

Do not reject *H*_{0}. There is sufficient
evidence to conclude that μ < 35.

Do not reject *H*_{0}. There is insufficient
evidence to conclude that μ < 35.

Reject *H*_{0}. There is insufficient evidence to
conclude that μ < 35.

(b)

x = 33 and s = 4.6

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 sufficient evidence to
conclude that μ < 35.

Do not reject *H*_{0}. There is sufficient
evidence to conclude that μ < 35.

Do not reject *H*_{0}. There is insufficient
evidence to conclude that μ < 35.

Reject *H*_{0}. There is insufficient evidence to
conclude that μ < 35.

(c)

x = 36 and s = 4.0

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 sufficient evidence to
conclude that μ < 35.

Do not reject *H*_{0}. There is sufficient
evidence to conclude that μ < 35.

Do not reject *H*_{0}. There is insufficient
evidence to conclude that μ < 35.

Reject *H*_{0}. There is insufficient evidence to
conclude that μ < 35.

Answer #1

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α = 0.01.
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Find the p-value. (Round your answer to four decimal
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(b)
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(b)
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A sample of 25 provided a sample mean x = 14
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Use the t distribution table to compute a range for the
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Consider the following hypothesis test.
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.
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x = 34 and s = 5.2
Find the value of the test statistic. (Round your answer to
three decimal places.)
B.
Find the p-value. (Round your answer to four decimal
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C.
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ou may need to use the appropriate technology to answer this
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