Use rectangle ABCD SITH DIAGONAL DB FIND THE MEASURE OF THE ANGLE MARKED X

An automobile manufacturer claims that its van has a 31.3 miles/gallon (MPG) rating. An independent testing firm has been contra

Yuliya22 [10]

Answer:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

$z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82$

$p_v =2*P(z$

If we compare the p value and the significance level given $\alpha=0.02$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean is NOT significantly different from 31.3 at 2% of signficance.

Step-by-step explanation:

Data given and notation

$\bar X=31.1$ represent the sample mean

$\sigma=1.3$ represent the population standard deviation for the sample

$n=140$ sample size

$\mu_o =31.3$ represent the value that we want to test

$\alpha=0.02$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We can assume that we conduct a hypothesis in order to check if the true mean is equal to 31.3 , the system of hypothesis would be:

Null hypothesis: $\mu =31.3$

Alternative hypothesis: $\mu \neq 31.3$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{31.1-31.3}{\frac{1.3}{\sqrt{140}}}=-1.82$

P-value

Since is a two-sided test the p value would be:

$p_v =2*P(z$

Conclusion

If we compare the p value and the significance level given $\alpha=0.02$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean is NOT significantly different from 31.3 at 2% of signficance.

5 0

3 years ago

The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x2 + 4x – 60. The cost, in dollars,

sladkih [1.3K]

That would be

3x^2 + 4x - 60 - (3x^2 - x + 200)

= 4x - 60 + x - 200

= 5x - 260 Answer

6 0

4 years ago

WILL GIVE BRAINLIST SOON AS I CAN... I DON'T UNDERSTAND THIS

enot [183]

Answer:

z would equal 20°

Step-by-step explanation:

This means ACB and EFD are 2 similar triangles

They have the same shape but different size

In ACB because 3 corner of a traingle must = 180° so in this case, corner BAC would = 180 - 65 - 55 = 60°

As you can see, BC is 3 times as large as DF, this means triangle ACB is larger than triangle EFD 3 times, this would lead to corner BAC is larger than corner DEF 3 times.

Corner DEF would = corner BAC / 3

= 60° / 3

= 20°

SO z would equal 20°

Hope this helped :3

7 0

4 years ago

Read 2 more answers

(Subtract<br> ) f(x) = x + 1<br> g(x) = x2 + 1

kramer

Answer:

The first question:

x = -1

Step-by-step explanation:

Step 1 :

Pulling out like terms :

1.1 Pull out like factors :

-x - 1 = -1 • (x + 1)

Equation at the end of step 1 :

Step 2 :

Solving a Single Variable Equation :

2.1 Solve : -x-1 = 0

Add 1 to both sides of the equation :

-x = 1

Multiply both sides of the equation by (-1) : x = -1

One solution was found :

x = -1

Processing ends successfully

plz mark me as brainliest :)

7 0

3 years ago

Find the missing length indicated

Luden [163]

Answer: 9 (now i’m just typing to make it 20 letters)

6 0

3 years ago