Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Using the hypothetical data provided below, test whether the mean pressure applied to the driver’s head during a crash test is equal for each types of car. Use α = 5%. Table ANOVA.1 Compact cars Midsize cars Full-size cars 643 469 484 655 427 456 702 525 402 X 666.67 473.67 447.33 S 31.18 49.17 41.68

Answers

Answer 1

Answer:

Explanation:

5320 5402 4064 5652

Answer 2

The mean pressure applied to the driver's head during a crash test is not equal for at least one pair of car types (compact, midsize, and full-size cars).

How did we arrive at this assertion?

To test whether the mean pressure applied to the driver's head during a crash test is equal for each type of car (compact, midsize, and full-size), we can use a one-way analysis of variance (ANOVA). ANOVA is used to compare the means of three or more groups.

First, let's define the null and alternative hypotheses:

Null hypothesis (H₀): The mean pressure applied to the driver's head is equal for compact, midsize, and full-size cars.

Alternative hypothesis (H₁): The mean pressure applied to the driver's head is not equal for at least one pair of car types.

We will use a significance level (α) of 5% (0.05).

Given the data:

Compact cars: 643, 655, 702

Midsize cars: 469, 427, 525

Full-size cars: 484, 456, 402

Let's calculate the necessary statistics for the ANOVA table:

Compact cars:

Sample mean (X): 666.67

Sample standard deviation (S): 31.18

Midsize cars:

Sample mean (X): 473.67

Sample standard deviation (S): 49.17

Full-size cars:

Sample mean (X): 447.33

Sample standard deviation (S): 41.68

Now, we can proceed with the ANOVA test and calculate the F-statistic and p-value.

The ANOVA table looks as follows:

Source of Variation | Sum of Squares (SS) | Degrees of Freedom (df) | Mean Square (MS) | F-statistic

----------------------- | --------------------- | --------------------- | ---------------- | --------------------

Between Groups | SS_between | k - 1 | MS_between = SS_between / (k - 1) | F = MS_between / MS_within

Within Groups | SS_within | N - k | MS_within = SS_within / (N - k) |

Total | SS_total | N - 1 |

Where:

- k is the number of groups (car types)

- N is the total number of observations

- SS represents the sum of squares

Let's calculate the ANOVA table using the provided data:

Total number of observations (N): 3 groups x 3 observations per group = 9

Number of groups (k): 3

Between Groups:

Mean of all observations (grand mean):

x-cap = (666.67 + 473.67 + 447.33) / 3 = 529.89

SS_between = (3 × ((666.67 - 529.89)² + (473.67 - 529.89)² + (447.33 - 529.89)²))

Within Groups:

SS_within = (2 × (31.18² + 49.17² + 41.68²))

Total:

SS_total = SS_between + SS_within

Now, we can calculate the degrees of freedom (df) for each source of variation:

df_between = k - 1 = 3 - 1 = 2

df_within = N - k = 9 - 3 = 6

df_total = N - 1 = 9 - 1 = 8

Finally, we can calculate the mean squares:

MS_between = SS_between / df_between = 343,640.67 / 2 = 171,820.335

MS_within = SS_within / df_within = 32,533.99 / 6 = 5,422.33167

We have obtained the actual values for the ANOVA calculations. Now we can proceed to calculate the F-statistic and determine whether to reject or fail to reject the null hypothesis.

Now, let's calculate the F-statistic:

F = MS_between / MS_within = 171,820.335 / 5,422.33167 ≈ 31.73

To determine whether to reject or fail to reject the null hypothesis, we need to compare the calculated F-statistic to the critical F-value from the F-distribution table at the given significance level (α = 0.05). However, we need to determine the critical F-value based on the degrees of freedom for the numerator (df_between) and denominator (df_within).

For df_between = 2 and df_within = 6, the critical F-value at α = 0.05 is approximately 5.14.

Since the calculated F-statistic (31.73) is greater than the critical F-value (5.14), we can reject the null hypothesis.

Therefore, we conclude that the mean pressure applied to the driver's head during a crash test is not equal for at least one pair of car types (compact, midsize, and full-size cars).

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Related Questions

The number of radians in a 540 degree angle can be written as a pi, where a is a constant, what is the value of a?

Answers

Answer:

Answer and Explanation: Since a is the coefficient of π , then the value of a=3.

Explanation:

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x√x = √216

you have to solve for x and it should equal 6

Answers

Answer:

[tex]x \sqrt{x} = \sqrt{216} [/tex]

square both sides:

[tex] {(x \sqrt{x}) }^{2} = {( \sqrt{216}) }^{2} [/tex]

solve the roots:

[tex]( {x}^{2} .x) = 216 \\ {x}^{3} = 216[/tex]

take a cube root on both sides:

[tex] \sqrt[3]{ {x}^{3} } = \sqrt[3]{216} [/tex]

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QUESTION 1
1. What are human rights? Explain your answer.
QUESTION 2
1. Are victims of human rights violation protected? Motivate your response by providing an
example from your community.
QUESTION 3
1. Is the government doing enough to ensure that human rights are protected? Explain your
position on that.

Answers

1. Human rights are basic rights that belong to all of us simply because we are human. They embody key values in our society such as fairness, dignity, equality and respect. ... Most importantly, these rights give us power and enable us to speak up and to challenge poor treatment from a public authority.

2. On the support of victims of human rights violation, the law should clearly state and express the repercussions of violating human rights. The citizen on the other hand should be well versed with human rights and should report any violator of human rights to the relevant authorities for immediate action to be taken. The community can mobilize and make aware the people of their rights and also allow any victim of human rights violations to face the law and seek justice.

3.Undoubtedly, every Government’s foremost duty is to protect human rights. The Government has all the power and infrastructure such as the constitution, the judiciary, the police, etc.  to do this.  

The Government in India is taking all the measures to protect human rights. Wherever, any violation has happened, the Government has taken action and the offenders were brought to justice.

what is false analogy?​

Answers

Answer:

False analogy is an argument based on misleading, superficial, or implausible comparisons OR A false analogy is a type of informal fallacy..

a type of informal fallacy or a persuasive technique in which the fact that two things are alike in one respect leads to the invalid conclusion that they must be alike in some other respect.

bakit nga ba mahal kita?​

Answers

Explanation:

because Love encompasses a range of strong and positive emotional and mental states, from the most sublime virtue or good habit, the deepest interpersonal affection, to the simplest pleasure. An example of this range of meanings is that the love of a mother differs from the love of a spouse, which differs from the love of food. Most commonly, love refers to a feeling of strong attraction and emotional attachment

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Answer:

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Explanation:

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At what stage of the Model of Situational Leadership does shared decision making occur while simultaneously less direction is provided?
Group of answer choices

adjourning

telling

selling

participating

delegating

Answers

Answer:

The answer is participlating.

I apologize if I am incorrect.

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Why is the history of Psychology important???

Answers

Answer:

Today, psychology is defined as "the scientific study of behavior and mental processes." Philosophical interest in the human mind and behavior dates back to the ancient civilizations of Egypt, Persia, Greece, China, and India.

Psychology was a branch of the domain of philosophy until the 1860s, when it developed as an independent scientific discipline in Germany.

Psychology as a field of experimental study began in 1854, in Leipzig Germany, when Gustav Fechner created the first theory of how judgments about sensory experiences are made and how to experiment on them. Fechner's theory, recognized today as Signal Detection Theory foreshadowed the development of statistical theories of comparative judgment and thousands of experiments based on his ideas (Link, S. W. Psychological Science, 1995). Later, 1879,Wilhelm Wundt founded in Leipzig, Germany, the first Psychological laboratory dedicated exclusively to psychological research in Germany. Wundt was also the first person to refer to himself as a psychologist (a notable precursor of Wundt was Ferdinand Ueberwasser (1752-1812) who designated himself Professor of Empirical Psychology and Logic in 1783 and gave lectures on empirical psychology at the Old University of Münster, Germany. Other important early contributors to the field include Hermann Ebbinghaus (a pioneer in the study of memory), William James (the American father of pragmatism), and Ivan Pavlov (who developed the procedures associated with classical conditioning).

Explanation:

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Question Help
An eyewitness to a crime said that the license plate of the getaway car began with the letters and C, but he could not remember the order. The rest of the plate had the
numbers 4, 5, 1, 8, and 6, but again he did not recall the order. How many license plates must the police investigate to find the car?
There are license plates for the police investigate.
(Type a whole number.)

Answers

Answer:

120

Explanation:

Ther are 7 boxes.

we can fill in the first and the last

We don’t know the other 5

So,

1*5*4*3*2*1*1=120

Ariana has a bag of marbles with 4 blue marbles, 4 white marbles, and 3 red marbles.
Find the following probabilities of Ariana drawing the given marbles from the bag if the first marble(s)
is(are) not returned to the bag after they are drawn. (Give your answer as a reduced fraction)
a) A Blue, then a red =
b) A red, then a white =
c) A Blue, then a Blue, then a Blue =
Submit Question

Answers

Answer:

Explanation:

P(BR)=4/10 *3/9=4/30

P(RW)=3/10* 4/9=2/15

P(BBB)=4/10 *3/9 * 2/8=1/30

Select the correct answer.
As society has changed, what have most households become?
O A.
dual income
B. single income
OC.
controlled by women
D.
compromised of extended family caretakers

Answers

Answer:

Dual Income

Explanation:

60 blue marbles and 40 red marbles are in a jar. How many red marbles must be removed from the jar so that the probability of choosing a blue marble from the jar is 43?
A. 5
B. 10
C. 15
D. 20
E. 25

Answers

Answer:

15 is correct answer answer

The answer is going
to be C. 15

and IT So, what was it?
3) Let's say your experimental results showed that the Placebo Group increased
their IQ score just as much as the Experimental Group. Name 2 possible
explanations for these results.
4) Name 2 ways you could improve on the experiment to determine if eating apples
has any special effect on people?
5) In the above experiment, describe how to conduct it as a double-blind study.

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Answer:

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Read the following excerpt from The Age of Innocence, and identify the narrator’s tone regarding Countess Olenska’s behavior.



"To the general relief, the Countess Olenska was not present in her grandmother's drawing-room during the visit of the betrothed couple. Mrs. Mingott said she had gone out; which, on a day of such glaring sunlight, and at the "shopping hour," seemed in itself an indelicate thing for a compromised woman to do."

confusion
relief
annoyance
disapproval

Answers

Answer:

the tone is confusion

you can tell because the narrator is quite perplexed by why the Countess was not present in her grandmother's room, and why she had gone out during the sunlight at noon ("shopping hour") , since it is strange for her a married woman like her to do so.

The answer would be the first one

How could you describe the value of using a correlation to examine your data?

Answers

Answer:

Correlation is a statistical technique that can show whether and how strongly pairs of variables are related. For example, height and weight are related; taller people tend to be heavier then start short people. Correlation can tell you just how much of the variations in peoples weights is related to their heights.

The way I will describe the value of a data using a correlation is that; The correlation data gives us the relationship between the factors considered.

What are the uses of Correlation?

Correlation is a term in statistics that is used to test the relationships between quantitative variables or categorical variables. This means that Correlation, is a measure of how things are related.

The study of how variables are correlated is called correlation analysis.

Correlations are very useful because if you can find out what relationship variables have, you can make predictions about future behavior.

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the distance between Johannesburg and bloemfontein is estimated at 435km. if they travel at an average speed of 120km per hour,how long will it take them to travel from Johannesburg to bloemfontein? give answer in hours ,minutes and seconds​

Answers

Answer:

[tex]435 \div 120 \times 1 = 3.625 [/tex]

that is 3 hours 625 seconds

Tim, a grade 9 learner refuses to do his homework. He believes nothing he does will make any difference, and he sees himself as doomed to fail in school. He enjoys being in nature, and not in the classroom. He battles to focus his attention on the here and now. Which one of the multiple intelligences best describes Tim?​

Answers

Explanation:

He battles to focus his attention on the here and now

What do people say in the south when you sneeze?

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