Question

You wish to test the following claim (HaHa) at a significance
level of α=0.005α=0.005.

Ho:μ=54.3Ho:μ=54.3

Ha:μ>54.3Ha:μ>54.3

You believe the population is normally distributed. You obtain a
sample mean of 54.9 and a sample standard deviation of 8.2 for a
sample of size 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 hypothesis
- fail to reject the null hypothesis

As such, the final conclusion is that...

- There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 54.3.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 54.3.
- The sample data support the claim that the population mean is greater than 54.3.
- There is not sufficient sample evidence to support the claim that the population mean is greater than 54.3.

Answer #1

The statistical software output for this problem is :

Test statistics = 0.6209

P-value = 0.2683

The p-value is greater than α .

fail to reject the null hypothesis .

There is not sufficient sample evidence to support the claim that the population mean is greater than 54.3.

You wish to test the following claim (HaHa) at a significance
level of α=0.005α=0.005.
Ho:μ=54.6Ho:μ=54.6
Ha:μ>54.6Ha:μ>54.6
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=83n=83
with mean M=58.7M=58.7 and a standard deviation of
SD=8.9SD=8.9.
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.)...

You wish to test the following claim (HaHa) at a significance
level of α=0.005α=0.005.
Ho:μ=77.1Ho:μ=77.1
Ha:μ<77.1Ha:μ<77.1
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=9n=9
with mean M=58.9M=58.9 and a standard deviation of
SD=13.3SD=13.3.
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=0.005α=0.005.
Ho:μ=77.6Ho:μ=77.6
Ha:μ>77.6Ha:μ>77.6
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=11n=11
with mean M=89.6M=89.6 and a standard deviation of
SD=10.8SD=10.8.
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=0.05α0.05.
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 (Ha) at a significance
level of α=0.005.
Ho:μ=87.1
Ha:μ≠87.1
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=642 with
mean M=88.5 and a standard deviation of SD=13.1.
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=0.02α=0.02.
Ho:μ=54.9Ho:μ=54.9
Ha:μ<54.9Ha:μ<54.9
You believe the population is normally distributed, but you do
not know the standard deviation. You obtain a sample of size
n=12n=12 with mean ¯x=50.5x¯=50.5 and a standard deviation of
s=8.9s=8.9.
What is the test statistic for this sample?
test statistic = Round to 3 decimal places
What is the p-value for this sample?
p-value = Use Technology Round to 4 decimal
places.
The p-value...

You wish to test the following claim (HaHa) at a significance
level of α=0.01α=0.01.
Ho:μ=64.4Ho:μ=64.4
Ha:μ>64.4Ha:μ>64.4
You believe the population is normally distributed and you know the
standard deviation is σ=20.5σ=20.5. You obtain a sample mean of
M=70.7M=70.7 for a sample of size n=52n=52.
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=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=0.01α=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=0.10α=0.10.
Ho:μ=77.7Ho:μ=77.7
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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
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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 =
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