# Test the claim about the popul

Test the claim about the population​ mean,

μ​,

at the given level of significance using the given sample statistics.

​Claim:

μ=50​;
α=0.06​;
σ=3.07.

Sample​ statistics:

x=49.6​,
n=56
Identify the null and alternative hypotheses. Choose the correct answer below.

A.

H0​:
μ=50
Ha​:
μ<50

B.

H0​:
μ=50
Ha​:
μ>50

C.

H0​:
μ<50
Ha​:
μ=50

D.

H0​:
μ≠50
Ha​:
μ=50

E.

H0​:
μ=50
Ha​:
μ≠50

F.

H0​:
μ>50
Ha​:
μ=50
Calculate the standardized test statistic.

The standardized test statistic is

.
​(Round to two decimal places as​ needed.)
Determine the critical​ value(s). Select the correct choice below and fill in the answer box to complete your choice.

​(Round to two decimal places as​ needed.)

A.

The critical value is

B.
The critical values are

.

Determine the outcome and conclusion of the test. Choose the correct answer below.

A.

Fail to reject
H0.

At the

6​%

significance​ level, there

is not

enough evidence to support the claim.

B.

Reject
H0.

At the

6​%

significance​ level, there

is

enough evidence to reject the claim.

C.

Reject
H0.

At the

6​%

significance​ level, there

is

enough evidence to support the claim.

D.

Fail to reject
H0.

At the

6​%

significance​ level, there

is not

enough evidence to reject the claim.

# Test the claim about the popul

Test the claim about the population​ mean,

μ​,

at the given level of significance using the given sample statistics.

​Claim:

μ=40​;
α=0.04​;
σ=3.43.

Sample​ statistics:

x=39.2​,
n=78
Identify the null and alternative hypotheses. Choose the correct answer below.

A.

H0​:
μ>40
Ha​:
μ=40

B.

H0​:
μ=40
Ha​:
μ<40

C.

H0​:
μ<40
Ha​:
μ=40

D.

H0​:
μ≠40
Ha​:
μ=40

E.

H0​:
μ=40
Ha​:
μ>40

F.

H0​:
μ=40
Ha​:
μ≠40

Calculate the standardized test statistic.

The standardized test statistic is

nothing.
​(Round to two decimal places as​ needed.)

# Test the claim about the popul

Test the claim about the population​ mean,

μ​,

at the given level of significance using the given sample statistics.

​Claim:

μ=50​;
α=0.05​;
σ=3.55.

Sample​ statistics:

x=49.2​,
n=80
Identify the null and alternative hypotheses. Choose the correct answer below.

A.

H0​:
μ=50
Ha​:
μ≠50

B.

H0​:
μ<50
Ha​:
μ=50

C.

H0​:
μ=50
Ha​:
μ>50

D.

H0​:
μ=50
Ha​:
μ<50

E.

H0​:
μ≠50
Ha​:
μ=50

F.

H0​:
μ>50
Ha​:
μ=50
Calculate the standardized test statistic.

The standardized test statistic is

nothing.
​(Round to two decimal places as​ needed.)

More

# Test the claim about the popul

Test the claim about the population​ mean, μ​, at the given level of significance using the given sample statistics.
Claim: μ≠5000​; α=0.04​; σ=354. Sample​ statistics: x=5400​,

n=45

Calculate the standardized test statistic.

The standardized test statistic is

nothing.
​(Round to two decimal places as​ needed.)

Determine the critical​ value(s). Select the correct choice below and fill in the answer box to complete your choice.

​(Round to two decimal places as​ needed.)

A.

The critical values are ±

B. The critical value is

# Test the claim about the popul

Test the claim about the population​ mean,

μ​,

at the given level of significance using the given sample statistics.

​Claim:

μ=50​;
α=0.06​;
σ=3.07.

Sample​ statistics:

x=49.6​,
n=56
Determine the outcome and conclusion of the test. Choose the correct  answer below.

A.

Fail to reject
H0.

At the

6​%

significance​ level, there

is not

enough evidence to support the claim.

B.

Reject
H0.

At the

6​%

significance​ level, there

is

enough evidence to reject the claim.

C.

Reject
H0.

At the

6​%

significance​ level, there

is

enough evidence to support the claim.

D.

Fail to reject
H0.

At the

6​%

significance​ level, there

is not

enough evidence to reject the claim.

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