Question

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.)

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) ??

greater than ??

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 69.7.

There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 69.7.

The sample data support the claim that the population mean is less than 69.7.

There is not sufficient sample evidence to support the claim that the population mean is less than 69.7.

Answer #1

Test statistic t = (M - )/(s/)

= (66.1 - 69.7)/(13.4/)

= -2.931

P-value = P(T < -2.931)

= 0.0020

P-value <

Reject the null.

There is sufficient evidence to warrant rejection of the claim that the population mean is less than 69.7.

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 ?=0.05.
Ho:?=73.1
Ha:??73.1
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=20 with
mean M=80.2 and a standard deviation of SD=10.2
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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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
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What is the p-value for this sample?
p-value = Use Technology (Report answer accurate to 4...

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Ho:?=61.7
Ha:?>61.7
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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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Ho : p1 = p2
Ha : p1 < p2
You obtain 34.9% success in a sample of size n1=450 from the first
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from the second population. For this test, you should NOT use the
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What is the test...

You wish to test the following claim (HaHa) at a significance
level of ?=0.002.
Ho:p=0.18
Ha:p?0.18
You obtain a sample of size n=435 in which there are 73 successful
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correction, and you should use the normal distribution as an
approximation for the binomial distribution.
What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
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You wish to test the following claim (HaHa) at a significance
level of ?=0.10?=0.10.
Ho:?=63.8Ho:?=63.8
Ha:?<63.8Ha:?<63.8
You believe the population is normally distributed, but you do not
know the standard deviation. You obtain a sample of size n=13n=13
with mean M=60.9M=60.9 and a standard deviation of
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What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
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four decimal places.)
p-value...

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know the standard deviation. You obtain a sample of size
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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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p-value...

You wish to test the following claim (HaHa) at a significance
level of α=0.002α=0.002.
Ho:μ=68.3Ho:μ=68.3
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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=13n=13
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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=0.002α=0.002.
Ho:p=0.22Ho:p=0.22
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You obtain a sample of size n=536n=536 in which there are 146
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Determine the test statistic formula for this test.
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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