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Alexeev081 [22]
4 years ago
6

It is necessary for an automobile producer to estimate the number of miles per gallon achieved by its cars. Suppose that the sam

ple mean for a random sample of 100 cars is 27.2 miles and assume the standard deviation is 2.4 miles. Now suppose the car producer wants to test the hypothesis that μ, the mean number of miles per gallon, is 25.9 against the alternative hypothesis that it is not 25.9. Conduct a test using α=.05 by giving the following:
Mathematics
1 answer:
olga nikolaevna [1]4 years ago
7 0

Answer:

Step-by-step explanation:

Given that the sample mean for a random sample of 100 cars is 27.2 miles and assume the standard deviation is 2.4 miles.

H0: x bar = 25.9

Ha: x bar ≠ 25.9

(Two tailed test at 95% confidence)

Alpha =0.05

The hypothetical mean is 25.900  

The actual mean is 27.200  

The difference between these two values is 1.300  

The   95% confidence interval of this difference:  

From -3.462 to 6.062

t = 0.5417  

 df = 99  

 standard error of difference = 2.400

The two-tailed P value equals 0.5893  

 Since p >0.05 this difference is considered to be not statistically significant.  

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6 0
4 years ago
X + y = -1<br> 4x - 2y = -16
djyliett [7]

Answer:

x=-3 \\and\\ y=2

Step-by-step explanation:

x + y = -1       Equation:1

4x - 2y = -16    Equation:2

Solving Equation:1

x+y=-1

Subtracting 'y' from both the sides:

x+y-y=-1-y\\\\x=-1-y

Putting 'x' in Equation :2

       4(-1-y)-2y=-16\\\\-4-4y-2y=-16\\\\-4-6y=-16

Adding '4' both the sides

          -6y=-16+4\\\\-6y=-12\\\\y=-12/-6\\\\y=2

Putting the value of 'y' in equation:1

           x+y=-1

           x+(2)=-1\\\\x=-1-2\\\\x=-3\\

The solution is:

          x=-3 \\and\\ y=2

6 0
3 years ago
The diagram below shows the measurements of two identical rectangular prisms joined together. Austin says the combined volume of
Ksivusya [100]

Answer:

450 cubic meters

Step-by-step explanation:

  1. ( 15 X 5 X 3) + ( 15 x 5 x 3)
  2. 225 + 225
  3. 450 cubic meters

Austin didn't add the 2 prisms, he multiplied the 1st prism and kept it as the answer.  

7 0
3 years ago
HELPPPP PLEASEEE IM BEGGING SOMEONE PLEASE PLEASE HELP
pychu [463]

Given:

The figure of a rhombus QRST.

To find:

A. The value of x.

B. The measure of angle RQP.

Solution:

A. We need to find the value of x.

We know that the diagonals of a rhombus are perpendicular bisectors. It means the angles on the intersection of diagonals are right angles.

m\angle RPS=90^\circ                       [Right angle]

(5x+15)^\circ=90^\circ

(5x+15)=90

5x=90-15

5x=75

Divide both sides by 5.

x=\dfrac{75}{5}

x=15

Therefore, the value of x is 15.

B. We need to find the measure of angle RQP.

From the given figure, it is clear that

m\angle RQP=(2x+3)^\circ

Putting x=15, we get

m\angle RQP=(2(15)+3)^\circ

m\angle RQP=(30+3)^\circ

m\angle RQP=33^\circ

Therefore, the measure of angle RQP is 33 degrees.

8 0
3 years ago
Answer all three please having trouble
Alona [7]

Answer:

1) b 243

Sorry, I couldn't figure out the other two..

Step-by-step explanation:

3 0
3 years ago
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