Question

You wish to test the following claim (Ha) at a significance
level of α=0.02.

Ho:μ=81.8

Ha:μ≠81.8

You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=7 with
mean M=77 and a standard deviation of SD=9.1.

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 =

The p-value is...

- less than (or equal to) α

- greater than α

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 not equal to 81.8.
- There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 81.8.
- The sample data support the claim that the population mean is not equal to 81.8.
- There is not sufficient sample evidence to support the claim that the population mean is not equal to 81.8.

Answer #1

You wish to test the following claim (Ha) at a significance
level of α=0.05
Ho:μ=82.8
Ha:μ≠82.8
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=17 with
mean M=77.9 and a standard deviation of SD=16.9.
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 (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 (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=0.02.
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=0.10.
Ho:μ=56.1
Ha:μ≠56.1
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=9 with
mean M=53.6 and a standard deviation of SD=5.1.
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) α OR
greater than α
This p-value leads to...

You wish to test the following claim (Ha) at a significance
level of α=0.02
Ho:μ=55.5
Ha:μ>55.5
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=24 with
a mean M=59.6 and a standard deviation of SD=10.1
What is the p-value for this sample? (Report answer accurate to
four decimal places.)
p-value =
The p-value is...
(A)less than (or equal to) αα
(B)greater than αα
This p-value leads to...

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=0.05α=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=0.10α=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 the following sample of
data:
46.2
78.8
64
64.4
59.3
78.8
89.7
85.8
41.3
81.8
34
73.7
79.8
78
72.4
78.8
69.2
66.7
81.8
67.2
56
89.7
71.9
58.5
46.8
40.5
48.3
52.5
53.8
45.1
43.3
24.4
24.4
84.3
81.8
70.2
45.7
53.8
29.4
76.4...

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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