ILL BRAINLIEST YOU PLEASE HELP ME

Sample annual salaries (in thousands of dollars) for employees at a company are listed. 42 36 48 51 39 39 42 36 48 33 39 42 45 (

Sonja [21]

Answer:

a) Data given: 42 36 48 51 39 39 42 36 48 33 39 42 45

$\bar X = 41.538$

$s = 5.317$

b) 44.1, 37.8, 50.4, 53.55, 40.95, 44.1, 37.8, 50.4 ,34.65, 40.95, 44.1, 47.25

$\bar X = 43.615$

$s= 5.583$

c) 3.5, 3, 4, 4.25, 3.25, 3.25, 3.5, 3, 4, 2.75, 3.25, 3.5, 3.75

$\bar X= 3.462$

$s = 0.443$

d) As we can see, the average of part b is 1.05 times the average of part a (1.05 * 41.538 = 43.615) and the average of part c is equal to the average obtained in part a divided by 12 (41.538 / 12 = 3.462).

And that happens because we create linear transformations for the parts b and c and the linear transformation affects the mean.

And you have the same interpretation for the deviation, it is affected by the linear transformation as the mean.

Step-by-step explanation:

For this case we can use the following formulas for the mean and standard deviation:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

Part a

Data given: 42 36 48 51 39 39 42 36 48 33 39 42 45

And if we calculate the mean we got:

$\bar X = 41.538$

$s = 5.317$

Part b

For this case we know that each value present a 5% of rise so we just need to multiply each value bu 1.05 and we have this new dataset:

44.1, 37.8, 50.4, 53.55, 40.95, 44.1, 37.8, 50.4 ,34.65, 40.95, 44.1, 47.25

And if we calculate the new mean and deviation we got:

$\bar X = 43.615$

$s= 5.583$

Part c

The new dataset would be each value divided by 12 so we have:

3.5, 3, 4, 4.25, 3.25, 3.25, 3.5, 3, 4, 2.75, 3.25, 3.5, 3.75

And the new mean and deviation would be:

$\bar X= 3.462$

$s = 0.443$

Part d

As we can see, the average of part b is 1.05 times the average of part a (1.05 * 41.538 = 43.615) and the average of part c is equal to the average obtained in part a divided by 12 (41.538 / 12 = 3,462).

And that happens because we create linear transformations for the parts b and c and the linear transformation affects the mean.

And you have the same interpretation for the deviation, it is affected by the linear transformation as the mean.

5 0

3 years ago

URGENT!! 25 points. help on C please. this assignment is already late

andrew-mc [135]

Answer:

$7+(11-4\times 2)=10$

Step-by-step explanation:

So, this question involves you to play around with the numbers and the operations a bit. I've come up with a solution, but perhaps there are others as well.

So, we have:

$7\text{ } 11\text{ } 4\text{ } 2\text{ } =\text{ } 10$

So, what we can do is, for instance, multiply 4 and 2. Subtract that into 11. And then add the difference to 7. Thus:

$7+(11-4\times 2)=10$

This is a true number sentence. Let's do it to make sure.

First, do the operations inside the parentheses.

Multiplication comes first, so multiply:

$7+(11-8)=10$

Again, do the parentheses first. Subtract:

$7+(3)=10$

Now add:

$10=10$

So our answer is correct :)

5 0

2 years ago

What is the slope of the line !?!?!

Sergeu [11.5K]

Answer:

Slope is -2

Step-by-step explanation:

8 0

2 years ago

PLEASEEEEE HELPPPPP!!!! D: (picture explains questions)

Molodets [167]

Answer:

DCB ~ RST

JKL ~ JTU

Step-by-step explanation:

7 0

2 years ago

I really need help with this 6th grade work due today

DIA [1.3K]

5

Step-by-step explanation:

Length (L) = u

Breadth (b) = 6 mi

Perimeter (P) = 22 miles

Now we know

P = 2 (L+ b)

22 = 2 ( u + 6)

11 = u + 6

11 - 6 = u

u = 5

8 0

2 years ago

Read 2 more answers