Question

A sample of 83 observations is selected from a normal population. The sample mean is 28, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.01 significance level:

*H*_{0}: μ ≤ 26

*H*_{1}: μ > 26

**a.** Is this a one- or two-tailed test?

(Click to select) Two-tailed test One-tailed test

**b.** What is the decision rule?

Reject *H*_{0} when *z*
(Click to
select) > 2.33 ≤ 2.33 .

**c.** What is the value of the test statistic?
**(Round the final answer to 1 decimal place.)**

Value of the test statistic

**d.** What is your decision regarding
*H*_{0}?

(Click to
select) Reject Accept *H*_{0}.

**e.** What is the *p*-value? **(Round
the final answer to 4 decimal places.)**

The *p*-value is.

Answer #1

Here p-value = 0.0002 < α = 0.01

Therefore we Reject Ho

There is sufficient evidence to conclude that µ > 26

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deviation is 9.
Conduct the following test of hypothesis using the 0.10
significance level.
H0 : μ ≤ 38
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a. Is this a one- or two-tailed test?
(Click to select) (One-tailed test / Two-tailed test)
b. What is the decision rule? (Round
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(Click to select) (Reject /
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H0: μ = 44
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a. Is this a one- or two-tailed test?
(Click to select) One-tailed
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Reject H0 and accept H1
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H0: μ ≤ 26
H1: μ > 26
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One-tailed test
Two-tailed test
What is the decision rule?
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A sample of 34 observations is selected from a normal
population. The sample mean is 28, and the population standard
deviation is 4. Conduct the following test of hypothesis using the
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H0 : μ ≤ 27
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a. Is this a one- or two-tailed test?
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the final answer to 3 decimal places.)
(Reject or
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z >___ .
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population. The sample mean is 19, and the population standard
deviation is 4. Conduct the following test of hypothesis using the
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Is this a one- or two-tailed test?
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Two-tailed test
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A sample of 39 observations is selected from a normal
population. The sample mean is 19, and the population standard
deviation is 4. Conduct the following test of hypothesis using the
0.10 significance level.
H0: μ ≤ 18
H1: μ >18
a.
Is this a one- or two-tailed test?
Two-tailed test
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b.
What is the decision rule?
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