Question

4) 25 randomly selected people were surveyed and it was found that the average amount they charged was 1200 in a year with a standard deviation of 600. Given α = 0.025, test the claim that the mean amount charged by all people with credit cards is greater than 1300. Confirm your results using the p–value method as well as the critical t value.

5)

5) In a study 800 people out of 1000 people surveyed indicated that they supported a ban on plastic straws. At the 0.01 significance level, test the claim that more than 75% of the population of Canada supports a ban on plastic straws. Determine the Null and Alternate Hypotheses, determine if the test is a one or two–tailed test and in the case of a one–tailed test state if it is a right or left–tailed test. Use both the critical value and p–value methods to test the claim.

Answer #1

A sociologist believes that for people under the age of 30,
women sleep longer per night on the weekend than men. 16 people
were surveyed. Test at alpha =5%. The following summary statistics
were determined from the sample.
Men:
Mean hrs = 10.45
SD hrs = 0.95
n=9
Women:
Mean hrs = 11.18
SD hrs = 1.81
n=7
a) State the Null and Alternate Hypothesis in symbols and in
words.
b) Calculate the expected results for the hypothesis test
sampling...

Leisure Time: In a Gallup poll, 1200 adults were randomly
selected and asked if they were satisfied or dissatisfied with the
amount of leisure time that they had. Of this Sample 690 said that
they were satisfied and 510 said they were dissatisfied. Use a 0.01
significance level to test the claim that less than 60% of adults
are satisfied with the amount of leisure time that they have.
What is the p-value and the test statistic?
Do we reject...

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
273...

Pinworm: In Sludge County, a sample of 60
randomly selected citizens were tested for pinworm. Of these, 11
tested positive. The CDC reports that the U.S. average pinworm
infection rate is 12%. Test the claim that Sludge County has a
pinworm infection rate that is greater than the national average.
Use a 0.05 significance level.
(a) What is the sample proportion of Sludge County residents
with pinworm? Round your answer to 3 decimal
places.
p̂ =
(b) What is the...

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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