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

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Use the t distribution table to compute a range for the
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(b)
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(b)
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