Question

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 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 54.9.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 54.9.
- The sample data support the claim that the population mean is less than 54.9.
- There is not sufficient sample evidence to support the claim that the population mean is less than 54.9.

Answer #1

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=0.02α=0.02.
Ho:μ=77.9Ho:μ=77.9
Ha:μ≠77.9Ha:μ≠77.9
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=17n=17
with mean M=81.7M=81.7 and a standard deviation of
SD=19.8SD=19.8.
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=0.02.
Ho:μ=63.1Ho
Ha:μ<63.1Ha
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=67 with
mean M=54.6 and a standard deviation of SD=20.4.
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...

You wish to test the following claim (Ha) at a significance
level of α=0.02α=0.02.
Ho:μ=82.8
Ha:μ≠82.8
You believe the population is normally distributed and you know the
standard deviation is σ=12.7. You obtain a sample mean of M=76.1
for a sample of size n=21
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=0.005α=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......

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=0.001α=0.001.
Ho:μ=72.8Ho:μ=72.8
Ha:μ>72.8Ha:μ>72.8
You believe the population is normally distributed, but you do
not know the standard deviation.
data
123.7
125.2
127.8
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 = Round to 4 decimal places.
The p-value is...
less than (or equal to) αα
greater than αα
This test statistic leads...

You wish to test the following claim (HaHa) at a significance
level of α=0.05α=0.05.
Ho:μ=65.2Ho:μ=65.2
Ha:μ≠65.2Ha:μ≠65.2
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain the following sample of
data:
data
14.6
36.1
13.5
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=0.002α=0.002.
Ho:μ=55.2Ho:μ=55.2
Ha:μ<55.2Ha:μ<55.2
You believe the population is normally distributed and you know the
standard deviation is σ=14.9σ=14.9. You obtain a sample mean of
¯x=47.2x¯=47.2 for a sample of size n=33n=33.
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...

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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