Question

You wish to test the following claim (HaHa) at a significance
level of ?=0.001?=0.001.

Ho:?=61.7

Ha:?>61.7

You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=97n=97
with mean M=64M=64 and a standard deviation of SD=5.8SD=5.8.

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) ?? or greater than ??

This test statistic leads to a decision to...

reject the null, accept the null, or 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 61.7.

B.) There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 61.7.

C.) The sample data support the claim that the population mean is greater than 61.7.

D.) There is not sufficient sample evidence to support the claim that the population mean is greater than 61.7.

Answer #1

a) The test statistic here is computed as:

**Therefore 3.906 is the test statistic value
here.**

b) As this is a one tailed test, for n - 1 =96 degrees of freedom, we get form the t distribution tables, the p-value as:

p = P( t_{96} > 3.906 ) = 0.0001

**Therefore 0.0001 is the required p-value
here.**

c) The p-value here is 0.0001 < 0.001 which is the level of
significance, **Therefore p-value is less than
**

d) As the p-value is lower the test is significant and
**we reject the null hypothesis here.**

e) As the test is significant, The sample data support the claim that the population mean is greater than 61.7.

You wish to test the following claim (HaHa) at a significance
level of ?=0.002.
Ho:?=69.7
Ha:?<69.7
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=119 with
mean M=66.1 and a standard deviation of SD=13.4.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
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What is the p-value for this sample? (Report answer accurate to
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p-value...

You wish to test the following claim (HaHa) at a significance
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Ho:?=73.1
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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
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You wish to test the following claim (HaHa) at a significance
level of α=0.001α=0.001.
Ho:μ=80.2Ho:μ=80.2
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You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=55n=55
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What is the test statistic for this sample?
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What is the p-value for this sample?
p-value = (Report answer accurate to...

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What is the p-value for this sample? (Report answer accurate to
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level of α=0.001α=0.001.
Ho:μ=81.1Ho:μ=81.1
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know the standard deviation. You obtain a sample of size n=751n=751
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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
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You wish to test the following claim (HaHa) at a significance
level of α=0.001α=0.001.
Ho:μ=61.4Ho:μ=61.4
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You believe the population is normally distributed, but you do not
know the standard deviation. You obtain the following sample of
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data
23.8
47.3
43
77.4
57.2
23.8
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...

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
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You believe the population is normally distributed, but you do
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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...
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