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3 years ago

PLEASE HELP!

2 answers:

6 0

The answer is 15 because absolute deviation means a number of units a certain number is for 0. So, both 15 and -15 would have an absolute deviation of 15 because both numbers are 15 units away from 0. Hope I helped! Please rate me the Brainliest!

Fittoniya [83]3 years ago

4 0

Answer:

Yes, it is 15.

Step-by-step explanation:

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Two major automobile manufacturers have produced compact cars with engines of the same size. We are interested in determining wh

Molodets [167]

Answer:

(A) The mean for the differences is 2.0.

(B) The test statistic is 1.617.

(C) At 90% confidence the null hypothesis should not be rejected.

Step-by-step explanation:

We are given that a random sample of eight cars from each manufacturer is selected, and eight drivers are selected to drive each automobile for a specified distance.

The following data (in miles per gallon) show the results of the test;

Driver Manufacturer A Manufacturer B

1 32 28

2 27 22

3 26 27

4 26 24

5 25 24

6 29 25

7 31 28

8 25 27

Let $\mu_1$ = mean MPG for the fuel efficiency of Manufacturer A brand

$\mu_2$ = mean MPG for the fuel efficiency of Manufacturer B brand

SO, Null Hypothesis, $H_0$ : $\mu_1-\mu_2=0$ or $\mu_1= \mu_2$ {means that there is a not any significant difference in the mean MPG (miles per gallon) when testing for the fuel efficiency of these two brands of automobiles}

Alternate Hypothesis, $H_A$ : $\mu_1-\mu_2\neq 0$ or $\mu_1\neq \mu_2$ {means that there is a significant difference in the mean MPG (miles per gallon) for the fuel efficiency of these two brands of automobiles}

The test statistics that will be used here is Two-sample t test statistics as we don't know about the population standard deviations;

T.S. = $\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p\sqrt{\frac{1}{n_1}+\frac{1}{n_2} } }$ ~ $t__n__1+_n__2-2$

where, $\bar X_1$ = sample mean MPG for manufacturer A = $\frac{\sum X_A}{n_A}$ = 27.625

$\bar X_2$ = sample mean MPG for manufacturer B = $\frac{\sum X_B}{n_B}$ = 25.625

$s_1$ = sample standard deviation for manufacturer A = $\sqrt{\frac{\sum (X_A-\bar X_A)^{2} }{n_A-1} }$ = 2.72

$s_2$ = sample standard deviation manufacturer B = $\sqrt{\frac{\sum (X_B-\bar X_B)^{2} }{n_B-1} }$ = 2.20

$n_1$ = sample of cars selected from manufacturer A = 8

$n_2$ = sample of cars selected from manufacturer B = 8

Also, $s_p=\sqrt{\frac{(n_1-1)s_1^{2}+(n_2-1)s_2^{2} }{n_1+n_2-2} }$ = $\sqrt{\frac{(8-1)\times 2.72^{2}+(8-1)\times 2.20^{2} }{8+8-2} }$ = 2.474

(A) The mean for the differences is = 27.625 - 25.625 = 2

(B) The test statistics = $\frac{(27.625-25.625)-(0)}{2.474 \times \sqrt{\frac{1}{8}+\frac{1}{8} } }$ ~ $t_1_4$

= 1.617

(C) Now at 10% significance level, the t table gives critical values between -1.761 and 1.761 at 14 degree of freedom for two-tailed test. Since our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that there is a not any significant difference in the mean MPG (miles per gallon) when testing for the fuel efficiency of these two brands of automobiles.

5 0

4 years ago

In a recent survey of 288 people, 72 said that their favorite color of car was white. What percent of the people surveyed liked

Oksi-84 [34.3K]

If you translate this problem literally, it is saying, “72 is what percent of 288?”. And the equational translation of that is 72 = (x/100) • 288
[ “is” means equal to (=) // “what” means x or another variable // “percent” means divided by 100” // “of” means multiplication. ]
Then you solve that equation.
(you can check it by googling what is 25% of 288. )

5 0

3 years ago

In the rhombus m1 = 10x, m2 = x + y, m3 = 18z. Find the value of each variable

Blababa [14]

I think the question is missing some details. I found a similar question with an image as i attached in this question.

From this image, it its clear that m1, m2 and m3 refers to the angles in the middle of the rhombus

Answer:

x = 9

y = 81

z = 5

Step-by-step explanation:

Note that in rhombus, all sides are the same. If the diagonal lines are made, it will create 4 division of angles of 90 degrees.

Therefore m1 = m2 = m3 = 90 degrees

m1 = 10x and m1 =90

So, 10x = 90. Rearrange it to get x = 90/10 = 9

x = 9

m2 = x + y and m2 = 90

So, x + y = 90

9 + y = 90

y = 90 - 9 = 81

m3 = 18z and m3 = 90

So, 18z = 90

z = 90/18 = 5

3 0

3 years ago

What is the solution to the equation below round your answer to two decimal places 5+6*log2x=14

Artemon [7]

9514 1404 393

Answer:

2.83 for log2(x)

15.81 for log(2x)

Step-by-step explanation:

We can get the log function by itself by subtracting the constant and dividing by the coefficient.

5 +6·log2x = 14

6·log2x = 9 . . . . . . . subtract 5

log2x = 1.5 . . . . . . . divide by 6

At this point, we're not sure what is meant by log2x.

log₂(x) = 1.5 ⇒ x = 2^1.5 ≈ 2.83

log(2x) = 1.5 ⇒ x = (10^1.5)/2 ≈ 15.81

6 0

3 years ago

1 Maßkrug (the glass itself) weighs 3

Sunny_sXe [5.5K]

36 pounds is the total weight she is carrying on her customers

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3 years ago