Question

You wish to test the following claim (Ha) at a significance
level of α=0.002α=0.002.

Ho:μ=57.9

Ha:μ<57.9

You believe the population is normally distributed and you know the
standard deviation is σ=12.7σ=12.7. You obtain a sample mean of
M=54.2M=54.2 for a sample of size n=69n=69.

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 less than 57.9.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 57.9.
- The sample data support the claim that the population mean is less than 57.9.
- There is not sufficient sample evidence to support the claim that the population mean is less than 57.9.

Answer #1

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You wish to test the following claim (HaHa) at a significance
level of α=0.002α=0.002.
Ho:μ=54.2Ho:μ=54.2
Ha:μ>54.2Ha:μ>54.2
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=403n=403
with a mean of M=55.3M=55.3 and a standard deviation of
SD=7.4SD=7.4.
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...

You wish to test the following claim (HaHa) at a significance
level of α=0.01α=0.01.
Ho:μ=57.9Ho:μ=57.9
Ha:μ>57.9Ha:μ>57.9
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=52n=52
with a mean of M=60.1M=60.1 and a standard deviation of
SD=10.7SD=10.7.
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...

ou wish to test the following claim (HaHa) at a significance
level of α=0.002α=0.002.
Ho:μ=57.2Ho:μ=57.2
Ha:μ<57.2Ha:μ<57.2
You believe the population is normally distributed and you know the
standard deviation is σ=6.2σ=6.2. You obtain a sample mean of
M=56.2M=56.2 for a sample of size n=15n=15.
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=0.002α=0.002.
Ho:μ=72.9Ho:μ=72.9
Ha:μ>72.9Ha:μ>72.9
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=337n=337
with a mean of M=73.4M=73.4 and a standard deviation of
SD=19.3SD=19.3.
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...

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=0.002α=0.002.
Ho:μ=86.2Ho:μ=86.2
Ha:μ>86.2Ha:μ>86.2
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size
n=14n=14with mean M=103.2M=103.2 and a standard deviation of
SD=16.7SD=16.7.
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=0.001α=0.001.
Ho:μ=67.9Ho:μ=67.9
Ha:μ<67.9Ha:μ<67.9
You believe the population is normally distributed and you know the
standard deviation is σ=10.2σ=10.2. You obtain a sample mean of
M=64.7M=64.7 for a sample of size n=36n=36.
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 (Ha) at a significance
level of α=0.005
Ho:μ=72.7
Ha:μ<72.7
You believe the population is normally distributed and you know the
standard deviation is σ=12.6 You obtain a sample mean of M=69.7 for
a sample of size n=59
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=0.05
Ho:μ=84.2
Ha:μ<84.2
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=4 with
mean M=82.7 and a standard deviation of SD=6.1.
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=0.002α=0.002.
Ho:μ=90.3Ho:μ=90.3
Ha:μ≠90.3Ha:μ≠90.3
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=102.6M=102.6 and a standard deviation of
SD=17.7SD=17.7.
1. What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value = ___
2. The p-value is...
less than (or equal to) αα
greater than αα
3. This...

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