Question

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 is...

- less than (or equal to) αα
- greater than αα

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 less than 77.7.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 77.7.
- The sample data support the claim that the population mean is less than 77.7.
- There is not sufficient sample evidence to support the claim that the population mean is less than 77.7.

Answer #1

Correct option:

There is sufficient evidence to warrant rejection of the claim that the population mean is less than 77.7.

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=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=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=0.10α=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...

You wish to test the following claim (HaHa) at a significance
level of α=0.10α=0.10.
Ho:μ=88.2Ho:μ=88.2
Ha:μ>88.2Ha:μ>88.2
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=27n=27
with mean M=92.6M=92.6 and a standard deviation of
SD=7.4SD=7.4.
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...

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=0.05α0.05.
Ho:μ=81.4Hoμ81.4
Ha:μ>81.4Haμ81.4
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=67n67
with mean M=87.9M87.9 and a standard deviation of
SD=20.4SD20.4.
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=0.01α=0.01.
Ho:μ=68.7Ho:μ=68.7
Ha:μ<68.7Ha:μ<68.7
You believe the population is normally distributed and you know the
standard deviation is σ=5.5σ=5.5. You obtain a sample mean of
M=67.3M=67.3 for a sample of size n=18n=18.
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=0.01α=0.01.
Ho:μ=76.3Ho:μ=76.3
Ha:μ<76.3Ha:μ<76.3
You believe the population is normally distributed and you know the
standard deviation is σ=7.4σ=7.4. You obtain a sample mean of
M=73.6M=73.6 for a sample of size n=15n=15.
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=0.001α=0.001.
Ho:μ=61.4Ho:μ=61.4
Ha:μ<61.4Ha:μ<61.4
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain the following sample of
data:
data
23.8
47.3
43
77.4
57.2
23.8
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 =
The...

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