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kompoz [17]
3 years ago
12

Congress regulates corporate fuel economy and sets an annual gas mileage for cars. A company with a large fleet of cars hopes to

meet the 2011 goal of 30.2 mpg or better for their fleet of cars. To see if the goal is being met, they check the gasoline usage for 50 company trips chosen at random, finding a mean of 32.12 mpg and a standard deviation of 4.83 mpg. Is this strong evidence that they have attained their fuel economy goal
Mathematics
1 answer:
3241004551 [841]3 years ago
4 0

Answer:

There is sufficient evidence that fuel economy goal has been attained.

Step-by-step explanation:

The hypothesis :

H0 : μ < 30.2

H1 : μ ≥ 30.2

The test statistic :

(xbar - μ) ÷ (s/√(n))

xbar = 32.12 ; s = 4.83 ; n = 50

Test statistic :

(32.12 - 30.2) ÷ (4.83/√(50))

1.92 ÷ 0.6830651

T = 2.811

Using the Pvalue from test statistic calculator :

Since we used the sample standard deviation, we use the T distribution

df = n - 1 = 50 - 1 = 49

Pvalue(2.811, 49) ; one tailed = 0.00354

At α = 0.05

Pvalue < α ; then we reject the null and conclude that there is sufficient evidence that fuel economy goal has been attained

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This graph will start at (.5, 0) as the vertex.

To find this, all you need to do if find the point where inside the absolute value sign is equal to 0. Since the graph can never have a negative value, this will be the lowest point.

2x - 1 = 0

2x = 1

x = .5

From there, you can plot each point by going up two and to the left one.

Examples of Points: (1.5, 2) and (2.5, 4)

You can also plot the other side of the graph by going up two and to the right one.

These points can be found using the slope, which is the number attached to x (2).

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8 0
3 years ago
Can you help me?
Kay [80]

Answer:

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Step-by-step explanation:

5 0
3 years ago
The perimeter of a rectangle is 80 inches, if the width is 18 inches what is the area of the rectangle? A.22 sq.in B.324 sq.in C
Tanya [424]

Answer:

396 in^2

Step-by-step explanation:

The perimeter of a triangle is given by the formula:

● P = 2w+2L

L is the length and w is the width

■■■■■■■■■■■■■■■■■■■■■■■■■■

The width hereis 18 inches and the perimeter is 80 inches.

Replace w by 18 and P by 80 to find L.

● P= 2L+2w

● 80 = 2L + 2×18

● 80 = 2L + 36

Substrat 36 from both sides

● 80-36 = 2L+36-36

●44 = 2L

Divide both sides by 2

● 44/2 = 2L/2

● 22 = L

So the length is 22 inches

■■■■■■■■■■■■■■■■■■■■■■■■■■

The area of a rectangle is given by the formula:

● A= L×w

● A = 22×18

● A = 396 in^2

6 0
3 years ago
A researcher reports survey results by stating that the standard error of the mean is 20. The population standard deviation is 5
Mekhanik [1.2K]

multiply 20 by 500. it should help you with the problem.

5 0
3 years ago
The university has decided that for the following year lecture costs will increase by 20% workshop costs by 10% and examination
Triss [41]

Answer:

$98.4.

Step-by-step explanation:

Since the university has decided that for the following year lecture costs will increase by 20%, workshop costs by 10%, and examination costs will stay the same, and that for level 2 the current hourly costs are 10, 24, and 60 respectively To determine how much the level 2 course cost in the following year, the following calculation must be performed:

10 x 1.2 + 24 x 1.1 + 60 = X

12 + 26.4 + 60 = X

98.4 = X

Thus, the level 2 course will cost $ 98.4 next year.

5 0
3 years ago
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