Question

You wish to test the following claim (HaHa) at a significance
level of α=0.10α=0.10.

Ho:μ=71.9Ho:μ=71.9

Ha:μ≠71.9Ha:μ≠71.9

You believe the population is normally distributed and you know the
standard deviation is σ=9.3σ=9.3. You obtain a sample mean of
M=74.5M=74.5 for a sample of size n=33n=33.

What is the critical value for this test? (Report answer accurate
to three decimal places.)

critical value = ±±

What is the test statistic for this sample? (Report answer accurate
to three decimal places.)

test statistic =

The test statistic is...

- in the critical region
- not in the critical region

This test statistic leads to a decision to...

- reject the null
- accept the null
- fail to reject the null

As such, the final conclusion is that...

- There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 71.9.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 71.9.
- The sample data support the claim that the population mean is not equal to 71.9.
- There is not sufficient sample evidence to support the claim that the population mean is not equal to 71.9.

Answer #1

critical value = ± 1.645

test statistic =1.606

The test statistic is not in the critical region

This test statistic leads to a decision to fail to reject the null

As such, the final conclusion is that : There is not sufficient sample evidence to support the claim that the population mean is not equal to 71.9.

You wish to test the following claim (HaHa) at a significance
level of α=0.10α=0.10.
Ho:μ=55.7Ho:μ=55.7
Ha:μ≠55.7Ha:μ≠55.7
You believe the population is normally distributed and you know the
standard deviation is σ=13.5σ=13.5. You obtain a sample mean of
¯x=60.9x¯=60.9 for a sample of size n=56n=56.
What is the test statistic for this sample?
test statistic = (Report answer accurate to 3 decimal
places.)
What is the p-value for this sample?
p-value = Use Technology (Report answer accurate to 4
decimal places.)
The p-value...

You wish to test the following claim (HaHa) at a significance level
of α=0.10α=0.10.
Ho:μ=77.7Ho:μ=77.7
Ha:μ<77.7Ha:μ<77.7
You believe the population is normally distributed and you know the
standard deviation is σ=16.5σ=16.5. You obtain a sample mean of
M=74.8M=74.8 for a sample of size n=72n=72.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =
The p-value...

You wish to test the following claim (HaHa) at a significance
level of α=0.10α=0.10.
Ho:μ=80.9Ho:μ=80.9
Ha:μ<80.9Ha:μ<80.9
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=4n=4
with mean M=72.1M=72.1and a standard deviation of
SD=8.8SD=8.8.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic = ____
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value...

You wish to test the following claim (HaHa) at a significance
level of α=0.10α=0.10.
Ho:μ=61.2Ho:μ=61.2
Ha:μ>61.2Ha:μ>61.2
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=125n=125
with mean ¯x=66x¯=66 and a standard deviation of
s=14.1s=14.1.
What is the test statistic for this sample?
test statistic = (Report answer accurate to 3 decimal
places.)
What is the p-value for this sample?
p-value = (Report answer accurate to 4 decimal
places.)
The...

You wish to test the following claim (HaHa) at a significance
level of α=0.05α=0.05.
Ho:μ=88.5Ho:μ=88.5
Ha:μ≠88.5Ha:μ≠88.5
You believe the population is normally distributed and you know the
standard deviation is σ=12.6σ=12.6. You obtain a sample mean of
M=83M=83 for a sample of size n=53n=53.
What is the critical value for this test? (Report answer accurate
to three decimal places.)
critical value = ±±
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic...

You wish to test the following claim (HaHa) at a significance
level of α=0.05α=0.05.
Ho:μ≤70.8Ho:μ≤70.8
Ha:μ>70.8Ha:μ>70.8
You believe the population is normally distributed and you know the
standard deviation is σ=13.6σ=13.6. You obtain a sample mean of
¯x=74.5x¯=74.5 for a sample of size n=31n=31.
What is the critical value for this test? (Report answer accurate
to two decimal places.)
critical value =
What is the standardized test statistic for this sample? (Report
answer accurate to three decimal places.)
test statistic...

You wish to test the following claim (HaHa) at a significance
level of α=0.10α=0.10.
Ho:μ=61.2Ho:μ=61.2
Ha:μ<61.2Ha:μ<61.2
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain the following sample of
data:
46.2
78.8
64
64.4
59.3
78.8
89.7
85.8
41.3
81.8
34
73.7
79.8
78
72.4
78.8
69.2
66.7
81.8
67.2
56
89.7
71.9
58.5
46.8
40.5
48.3
52.5
53.8
45.1
43.3
24.4
24.4
84.3
81.8
70.2
45.7
53.8
29.4
76.4...

You wish to test the following claim (HaHa) at a significance
level of α=0.001α=0.001.
Ho:μ=82.7Ho:μ=82.7
Ha:μ≠82.7Ha:μ≠82.7
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain the following sample of
data:
data
64.6
58.1
60.1
58.1
78.6
71.2
60.6
86.9
75.2
88.3
77.1
What is the critical value for this test? (Report answer accurate
to three decimal places.)
critical value = ±±
What is the test statistic for this sample? (Report answer accurate...

You wish to test the following claim (H1H1) at a significance
level of α=0.10α=0.10.
Ho:μ=79.9Ho:μ=79.9
H1:μ≠79.9H1:μ≠79.9
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=331n=331
with a mean of M=80.6M=80.6 and a standard deviation of
SD=8.2SD=8.2.
What is the critical value for this test? (Report answer accurate
to three decimal places.)
critical value = ±±
What is the test statistic for this sample? (Report answer accurate
to...

You wish to test the following claim (HaHa) at a significance
level of α=0.10α=0.10.
Ho:μ=50.1Ho:μ=50.1
Ha:μ<50.1Ha:μ<50.1
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=20n=20
with mean M=42.7M=42.7and a standard deviation of
SD=11.4SD=11.4.
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value = ___
The p-value is...
less than (or equal to) αα
greater than αα
This p-value leads to a...

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