Mathematics College

A car dealer is interested in comparing the average gas mileages of four different car models. The dealer believes that the average gas mileage of a particular car will vary depending on the person who is driving the car due to different driving styles. Because of this, he decides to use a randomized block design. He randomly selects five drivers and asks them to drive each of the cars. He then determines the average gas mileage for each car and each driver. Can the dealer conclude that there is a significant difference in average gas mileages of the four car models? The results of the study are as follows.

Find the value of the F-test statistic for testing whether the average gas mileage is the same for the four car models. Round your answer to two decimal places, if necessary.

Car A Car B Car C Car D
Driver 1 23 39 22 25
Driver 2 37 39 28 39
Driver 3 39 40 21 25
Driver 4 34 36 27 33
Driver 5 27 35 26 37

Required:
Make the decision to reject or fail to reject the null hypothesis that there is no difference in the average gas mileages of the four car models. State the conclusion in terms of the original problem. Use alpha = 0.01.

a. We reject the null hypothesis. At the 0.01 level of significance, there is sufficient evidence of a difference in average gas mileages of the four car models.
b. We fail to reject the null hypothesis. At the 0.01 level of significance, there is not sufficient evidence of a difference in average gas mileages of the four car models.
c. We fail to reject the null hypothesis. At the 0.01 level of significance, there is sufficient evidence of a difference in average gas mileages of the four car models.
d. We reject the null hypothesis. At the 0.01 level of significance, there is not sufficient evidence of a difference in average gas mileages of the four car models.

Answers

Answer 1

Answer:

We reject the null hypothesis at the 0.01 level of significance, there is sufficient evidence of a difference in average gas mileages of the four car models  ( A )

Step-by-step explanation:

Using the Given data we will apply the two way ANOVA without

source of variation            SS             df        MS        F

Block                                  148.80       4        37.20    1.68

Treatment                         424.40       3        141.47     6.39

Error                                  265.60       12       22.13

Total                                  838.80       19

From the Two way ANOVA table the F-statistic = 6.39

Related Questions

A mooncake with two egg yolks costs $2 more than a mooncake with one egg yolk. The cost of 6 mooncakes with two egg yolks and 5 mooncakes with one egg yolk is $130.80. Find the cost of a mooncake with two two egg yolks.

Plz do in algebraic method

Answers

6(x + 2) + 5(x) = $130.80
6x + 12 + 5x = 130.80
11x = 118.80
x = 10.80, the cost of a moon cake with one egg yolk. Add 2 for the cost of the two egg yolk cake, and your answer is $12.80

6(12.80) + 5(10.80) = 76.80 + 54 = 130.80 ✅

'थूकेंगे' शब्द का वर्ण-विच्छेद कीजिए।​

Answers

Answer:

English pls

Step-by-step explanation:

अन्यथा बहस करें, शिकायतें पकड़ें।

Garret grew 2 2/3 inches each year for the past 3 years. How many inches total has Garret grown in the past 3 years ?

Answers

Answer:

8 inches,

Step-by-step explanation:

2 2/3 = 8/3.

3 * 8/3

= 8 inches,

Consider these functions

f(x) = 4x^3 - 10

3x - 4
g(x) = _______
2

What is the value of g(f(2))

A. -6
B. 2
C. 19
D. 31

Answers

Answer:  D) 31

==========================================================

Explanation:

The expression g(f(2)) has f(2) as the inner function.

Let's compute f(2)

This means we plug x = 2 into the f(x) function

f(x) = 4x^3 - 10

f(x) = 4(x)^3 - 10

f(2) = 4(2)^3-10

f(2) = 4*8-10

f(2) = 32-10

f(2) = 22

Now we'll plug this into the g(x) function

This is because g(f(2)) = g(22). I've replaced f(2) with 22

So,

g(x) = (3x-4)/2

g(22) = (3*22-4)/2

g(22) = (66-4)/2

g(22) = 62/2

g(22) = 31

Therefore, g(f(2)) = 31

The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The functions are given below.

f(x) = 4x³ - 10

g(x) = (3x - 4) / 2

The function g(f(x)) is written as,

g(f(x)) = [3(4x³ - 10) - 4] / 2

g(f(x)) = [12x³ - 30 - 4] / 2

g(f(x)) = [12x³ - 34] / 2

g(f(x)) = [6x³ - 17]

The value of the function g(f(x)) at x = 2 will be given as,

g(f(2)) = [6(2)³ - 17]

g(f(2)) = 6(8) - 17

g(f(2)) = 48 - 17

g(f(2)) = 31

The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ5

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

y= 9 x= -42

Step-by-step explanation:

I need to know how to work fractions word problems like Leon's older brother is 4 3/4 feet tall. Leon is 1/3 foot shorter than his brother. How tall is Leon?

Answers

Answer:

4 5/12 feet tall

Step-by-step explanation:

Find the LCM first. The LCM is the lowest common multiple between the two denominators. The LCM in this problem is 12, so you multiply each fraction until the denominators equal 12

4 3/4 -> 4 9/12

1/3 -> 4/12

Now it's much easier to solve. 4 9/12 - 4/12 = 4 5/12 feet tall

X^4 - 3x^2 + 2y - 1 is a polynomial of degree

Answers

Answer:

thankyou uwhdjaossbehsa
quartic or of the 4th degree

100 POINTS!!

Find the slope and the y intercept of the line in the graph.

Answers

Answer:

Slope: 5/1

y-intercept: 2

Step-by-step explanation:

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