Question
In: Statistics and Probability
Car manufacturers are interested in whether there is a relationship between the size of car an...
Car manufacturers are interested in whether there is a relationship between the size of car an individual drives and the number of people in the driver's family (that is, whether car size and family size are independent). To test this, suppose that 797 car owners were randomly surveyed with the following results. Conduct a test for independence at the 5% level.
| Family Size | Sub & Compact | Mid-size | Full-size | Van & Truck |
|---|---|---|---|---|
| 1 | 19 | 35 | 41 | 34 |
| 2 | 21 | 49 | 69 | 81 |
| 3 - 4 | 21 | 49 | 101 | 89 |
| 5+ | 19 | 29 | 71 | 69 |
A. What are the degrees of freedom? (Enter an exact number as an integer, fraction, or decimal.)
B. State the distribution to use for the test.
C. What is the test statistic? (Round your answer to two decimal places.)
D. What is the p-value? (Round your answer to four decimal places.)
E. Alpha (Enter an exact number as an integer, fraction, or
decimal.)
α =
Solutions
orchestra answered 1 year agoRelated Solutions
Car manufacturers are interested in whether there is a relationship between the size of car an...
Car manufacturers are interested in whether there is a
relationship between the size of car an individual drives and the
number of people in the driver's family (that is, whether car size
and family size are independent). To test this, suppose that 804
car owners were randomly surveyed with the following results.
Conduct a test for independence at the 5% level.
Family Size
Sub &
Compact
Mid-size
Full-size
Van &
Truck
1
20
36
41
35
2
20
49
71...
A nurse is interested in whether there is a relationship between daily levels of stress and...
A nurse is interested in whether there is a relationship between
daily levels of stress and likelihood of a heart attack. The stress
scores (predictor variable) and risk of heart attack values
(criterion variable) from a small sample of participants are
depicted below.
Stress
Score Risk
of Heart Attack
(Higher values = more stress) (Higher
values = greater risk)
1 9
5 8
2 6
5 8
Set up the regression equation and use to predict the risk of heart
attack for a person with...
A researcher is interested in determining whether there is a relationship between the weekly number of...
A researcher is interested in determining whether there is a
relationship between the weekly number of room air-conditioning
units sold and the time of year. What type of descriptive chart
would be most useful in performing this analysis? Explain your
choice.
Kim, a personal trainer, was interested in whether or not there was a linear relationship between...
Kim, a personal trainer, was interested in whether or not there
was a linear relationship between the number of visits her clients
made to the gym each week and the average amount of time her
clients exercised per visit. She took the following data. Client 1
2 3 4 5 6 Number of visits per week 1 3 4 2 3 5 Average time spent
exercising per visit (hours) 2 1.5 1 2 2 0.30 a) Find the
correlation coefficient...
"You are interested in determining whether there is a relationship between the grade level of students...
"You are interested in determining whether there is a
relationship between the grade level of students at Big Rock School
District and their primary color preference for a new school
football uniform. A sample of students (grades 8, 9, 12) is asked
which color (black, blue, gold) they would prefer for a new school
football uniform. Assuming the .05 level of significance, what
would you conclude?" 8th grade mean 13.0, 9th grade mean: 12.6,
12th grade mean: 8.0.
There is...
You’re a beer brewer and you’re interested in whether there is a relationship between the weight...
You’re a beer brewer and you’re interested in whether there is
a relationship between the weight of grains used to brew the beer,
and the percent alcohol of the beer. You record your data below of
your homebrew. (3 points)
Weight of Grains
Alcohol Percentage
9.9
4.3
10.3
4.5
9.8
6.1
9.1
4.5
10.3
5.1
11.1
6.3
10.8
5.8
11.3
4.6
9.9
11.2
10.6
9.2
10.3
4.9
11.4
5.4
11.9
6.3
11.6
5.2
10.8
10
9.4
9.3
10.5
6.5
11...
9. A soft drink company is interested in knowing whether there is a relationship between cola...
9. A soft drink company is interested in knowing whether there
is a relationship between cola preference and age. A random sample
of 800 people is chosen for a taste test. The results of the study
are found in the following table. Is there sufficient evidence at
the 0.005 level of significance to lead you to believe that there
is an association between cola preference and age? *You can use
your test value or the p-value to decide. Cola A...
Researchers were interested in whether there was a linear relationship between a person's armspan (x) and...
Researchers were interested in whether there was a linear
relationship between a person's armspan (x) and a person's height
(y). The data is shown below.
Armspan
_Height_
66
70
61.75
60
66
66
70
70
66
67
69
67
62
64
61
60
Sums:
521.75
524
a) Find the least squares line between armspan (x) and height
(y) based on the data.
??? =
??? =
b =
a =
?̂ = ___ + ___ x
b) Interpret the meaning...
We're interested in whether there's a relationship between the Visual and ReadWrite learning styles of Biology...
We're interested in whether there's a relationship between the
Visual and ReadWrite learning styles of Biology students. We know
that the standard deviation of Visual scores for the students in
our classroom is 3.231746, the standard deviation for the ReadWrite
scores is 3.578245, and the covariance between these two variables
is 3.747628. Calculate the Pearson product-moment correlation
coefficient for these two variables, based on these numbers:
0.3241
Question 36 Calculate the t-statistic associated with the null
hypothesis that there is...
A researcher is interested in whether the variation in the size of human beings is proportional...
A researcher is interested in whether the variation in the size
of human beings is proportional throughout each part of the human.
To partly answer this question they looked at the correlation
between the foot length (in millimeters) and height (in
centimeters) of 30 randomly selected adult males. The data is
provided below. Use Excel to calculate the correlation coefficient
r between the two data sets. Round your answer to two
decimal places.
Foot length (mm) Height (cm)
244.9 159.2...
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