Question

6. It is widely accepted that people are a little taller in the morning than at night. Here we perform a test on how big the difference is. In a sample of 34 adults, the mean difference between morning height and evening height was 5.6 millimeters (mm) with a standard deviation of 1.8 mm. Test the claim that, on average, people are more than 5 mm taller in the morning than at night. Test this claim at the 0.10 significance level. (a) The claim is that the mean difference is more than 5 mm (μd > 5). What type of test is this? This is a right-tailed test. This is a left-tailed test. This is a two-tailed test. (b) What is the test statistic? Round your answer to 2 decimal places. t d = (c) Use software to get the P-value of the test statistic. Round to 4 decimal places. P-value = (d) What is the conclusion regarding the null hypothesis? reject H0 fail to reject H0 (e) Choose the appropriate concluding statement. The data supports the claim that, on average, people are more than 5 mm taller in the morning than at night. There is not enough data to support the claim that, on average, people are more than 5 mm taller in the morning than at night. We reject the claim that, on average, people are more than 5 mm taller in the morning than at night. We have proven that, on average, people are more than 5 mm taller in the morning than at night.

Answer #1

a)

This is a right-tailed test.

b)

test statistic t =1.94

c) p value =0.0303 (please try 0.0305 if this comes wrong due to rounding error)

d)

since p value <0.10

reject H0

e)

The data supports the claim that, on average, people are more than 5 mm taller in the morning than at night.

AM -vs- PM Height: It is widely accepted that
people are a little taller in the morning than at night. Here we
perform a test on how big the difference is. In a sample of 30
adults, the mean difference between morning height and evening
height was 5.7 millimeters (mm) with a standard deviation of 1.5
mm. Test the claim that, on average, people are more than 5 mm
taller in the morning than at night. Test this claim at...

AM -vs- PM Height (Raw Data, Software
Required):
We want to test the claim that people are taller in the morning
than in the evening. Morning height and evening height were
measured for 30 randomly selected adults and the difference
(morning height) − (evening height) for each adult was recorded in
the table below. Use this data to test the claim that on
average people are taller in the morning than in the evening.
Test this claim at the 0.01...

AM -vs- PM Height (Raw Data, Software
Required):
We want to test the claim that people are taller in the morning
than in the evening. Morning height and evening height were
measured for 30 randomly selected adults and the difference
(morning height) − (evening height) for each adult was recorded in
the table below. Use this data to test the claim that on
average people are taller in the morning than in the evening.
Test this claim at the 0.10...

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Required):
It has been claimed that, on average, right-handed people have a
left foot that is larger than the right foot. Here we test this
claim on a sample of 10 right-handed adults. The table below gives
the left and right foot measurements in millimeters (mm). Test the
claim at the 0.01 significance level. You may assume the sample of
differences comes from a normally distributed population.
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Foot (x)
Right
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Foot-Length (Raw Data, Software
Required):
It has been claimed that, on average, right-handed people have a
left foot that is larger than the right foot. Here we test this
claim on a sample of 10 right-handed adults. The table below gives
the left and right foot measurements in millimeters (mm). Test the
claim at the 0.01 significance level. You may assume the sample of
differences comes from a normally distributed population.
Person
Left
Foot (x)
Right
Foot (y)
1
274...

Foot-Length (Raw Data, Software
Required):
It has been claimed that, on average, right-handed people have a
left foot that is larger than the right foot. Here we test this
claim on a sample of 10 right-handed adults. The table below gives
the left and right foot measurements in millimeters (mm). Test the
claim at the 0.05 significance level. You may assume the sample of
differences comes from a normally distributed population.
Person
Left
Foot (x)
Right
Foot (y)
1
268...

Foot-Length (Raw Data, Software
Required):
It has been claimed that, on average, right-handed people have a
left foot that is larger than the right foot. Here we test this
claim on a sample of 10 right-handed adults. The table below gives
the left and right foot measurements in millimeters (mm). Test the
claim at the 0.01 significance level. You may assume the sample of
differences comes from a normally distributed population.
Person
Left
Foot (x)
Right
Foot (y)
1
270...

Foot-Length: It has been claimed that, on
average, right-handed people have a left foot that is larger than
the right foot. Here we test this claim on a sample of 10
right-handed adults. The table below gives the left and right foot
measurements in millimeters (mm). Test the claim at the 0.01
significance level. You may assume the sample of differences comes
from a normally distributed population.
Person
Left
Foot (x)
Right
Foot (y)
difference (d = x − y)...

Foot-Length: It has been claimed that, on
average, right-handed people have a left foot that is larger than
the right foot. Here we test this claim on a sample of 10
right-handed adults. The table below gives the left and right foot
measurements in millimeters (mm). Test the claim at the 0.01
significance level. You may assume the sample of differences comes
from a normally distributed population.
Person
Left
Foot (x)
Right
Foot (y)
difference (d = x − y)...

Foot-Length: It has been claimed that, on
average, right-handed people have a left foot that is larger than
the right foot. Here we test this claim on a sample of 10
right-handed adults. The table below gives the left and right foot
measurements in millimeters (mm). Test the claim at the 0.05
significance level. You may assume the sample of differences comes
from a normally distributed population.
Person
Left
Foot (x)
Right
Foot (y)
difference (d = x − y)...

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