Question

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 is...

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

This test statistic leads to a decision to what?

- reject the null?
- accept the null?
- fail to reject the null?

As such, the final conclusion is that...

A.) There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 64.4.

B.) There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 64.4.

C.) The sample data support the claim that the population mean is greater than 64.4.

D.) There is not sufficient sample evidence to support the claim that the population mean is greater than 64.4.

Answer #1

Test statistic

= 2.216

p-value = P(Z > 2.216) = 0.0133

The p-value is greater than alpha.

This test statistic leads to a decisonto fail to reject the null.

Option-D) There is not sufficient sample evidence to support the claim that the population mean is greater than 64.4.

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=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...

You wish to test the following claim (HaHa) at a significance
level of α=0.01α=0.01.
Ho:μ=72.8Ho:μ=72.8
Ha:μ>72.8Ha:μ>72.8
You believe the population is normally distributed and you know the
standard deviation is σ=5.8σ=5.8. You obtain a sample mean of
M=74.8M=74.8 for a sample of size n=46n=46.
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=0.01α=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...

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=0.01.
Ho:μ=63.7
Ha:μ>63.7
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=69 with
mean M=66.9 and a standard deviation of SD=10.6.
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 (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=0.05α0.05.
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=0.005α=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......

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