Question

You wish to test the following claim (HaHa) at a significance
level of α=0.01α=0.01.

Ho:μ=69.7Ho:μ=69.7

Ha:μ<69.7Ha:μ<69.7

You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=26n=26
with mean M=60.9M=60.9 and a standard deviation of
SD=17.3SD=17.3.

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 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 69.7.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 69.7.
- The sample data support the claim that the population mean is less than 69.7.
- There is not sufficient sample evidence to support the claim that the population mean is less than 69.7.

Answer #1

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You wish to test the following claim (HaHa) at a significance
level of α=0.01α=0.01.
Ho:μ=84.1Ho:μ=84.1
Ha:μ<84.1Ha:μ<84.1
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=28n=28
with mean M=72.7M=72.7 and a standard deviation of
SD=20.8SD=20.8.
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=0.01α=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=0.01α=0.01.
Ho:μ=59.9Ho:μ=59.9
Ha:μ<59.9Ha:μ<59.9
You believe the population is normally distributed, but you do
not know the standard deviation. You obtain a sample of size
n=18n=18 with mean ¯x=56.3x¯=56.3 and a standard deviation of
s=19.3s=19.3.
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=0.02α=0.02.
Ho:μ=88.4Ho:μ=88.4
Ha:μ<88.4Ha:μ<88.4
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=26n=26
with mean M=82.4M=82.4 and a standard deviation of
SD=15.3SD=15.3.
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=0.001α=0.001.
Ho:μ=69.5Ho:μ=69.5
Ha:μ≠69.5Ha:μ≠69.5
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=26n=26
with mean M=67.8M=67.8 and a standard deviation of
SD=17.2SD=17.2.
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=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=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=0.05α0.05.
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...

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