Question

A sample of 33 observations is selected from a normal population. The sample mean is 53, and the population standard deviation is 6. Conduct the following test of hypothesis using the 0.05 significance level.

*H*_{0}: μ = 57

*H*_{1}: μ ≠ 57

Is this a one- or two-tailed test?

One-tailed test

Two-tailed test

What is the decision rule?

Reject *H*_{0} if −1.960 < *z* <
1.960

Reject *H*_{0} if *z* < −1.960 or
*z* > 1.960

What is the value of the test statistic? **(Negative
amount should be indicated by a minus sign. Round your answer to 2
decimal places.)**

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

Fail to reject *H*_{0}

Reject *H*_{0}

**e-1.** What is the *p*-value?
**(Round your z value to 2 decimal places and final
answer to 4 decimal places.)**

**e-2.** Interpret the *p*-value?
**(Round your z value to 2 decimal places and final
answer to 2 decimal places.)**

Answer #1

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
0.05 significance level.
H0: μ ≤ 26
H1: μ > 26
Is this a one- or two-tailed test?
One-tailed test
Two-tailed test
What is the decision rule?
Reject H0 when z > 1.645
Reject H0 when z ≤ 1.645
What is the value of the test statistic? (Round your...

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
Is this a one- or two-tailed test?
One-tailed test
Two-tailed test
What is the decision rule?
Reject H0 when z > 1.282
Reject H0 when z ≤ 1.282
What is the value of the test statistic? (Round your...

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
0.05 significance level. H0: μ ≤ 26 H1: μ > 26 Is this a one- or
two-tailed test? One-tailed test Two-tailed test What is the
decision rule? Reject H0 when z > 1.645 Reject H0 when z ≤ 1.645
What is the value of the test statistic? (Round your...

A sample of 39 observations is selected from a normal
population. The sample mean is 43, and the population standard
deviation is 6. Conduct the following test of hypothesis using the
0.02 significance level.
H0: μ = 45
H1: μ ≠ 45
Is this a one- or two-tailed test?
One-tailed test
Two-tailed test
What is the decision rule?
Reject H0 if −2.326 < z <
2.326
Reject H0 if z < −2.326 or
z > 2.326
What is the value...

A sample of 60 observations is selected from a normal
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Conduct the following test of hypothesis using the 0.10
significance level.
H0 : μ ≤ 36
H1 : μ > 36
a. Is this a one- or two-tailed test?
One-tailed test or Two-tailed test
b. What is the decision rule? (Round
the final answer to 3 decimal places.)
(Reject or Accept) H0
and (accept or reject H1
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population. The sample mean is 43, and the population standard
deviation is 8. Conduct the following test of hypothesis using the
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H0: μ = 44
H1: μ ≠ 44
a. Is this a one- or two-tailed test?
(Click to select) One-tailed
test Two-tailed test
b. What is the decision rule?
Reject H0 and accept H1
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Conduct the following test of hypothesis using the 0.10
significance level.
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H1 : μ > 38
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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A sample of 42 observations is selected from a normal
population. The sample mean is 28, and the population standard
deviation is 8.
Conduct the following test of hypothesis using the 0.05
significance level.
H0 : μ ≤ 27
H1 : μ > 27
a. Is this a one- or two-tailed test?
b. What is the decision rule? (Round
the final answer to 3 decimal places.)
(Reject or
Accept) H0
and (accept or
reject) H1 when
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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
One-tailed test
b.
What is the decision rule?
Reject H0 when z ≤ 1.282
Reject H0 when z > 1.282
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A sample of 83 observations is selected from a normal
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