The following table gives the partial results from a company sampling their employees to see how many years they had worked for the company. The data for both samples was right-skewed.

Department Quality assurance Service
Mean (years) 4.2 2.6
Standard deviation (years) 1.1 1.7

The company wants to use these results in a two-sample t test to see whether there is a significant difference between lengths of time for employees in the quality assurance and service departments.

Which of the following are conditions for this type of test?
Choose all answers that apply:


A. The samples represent no more than 10% percent of the employees in each department.


B. The sample includes equal numbers of employees from each department.


C. The sample includes at least 30 employees from each department.

Answers

Answer 1

Using the Central Limit Theorem, it is found that the condition that applies to this test is:

C. The sample includes at least 30 employees from each department.

What does the Central Limit Theorem state?

It states that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.

From this, since we have a skewed variable, it is found that a sample size of at least 30 is needed, hence option C is correct.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213


Related Questions


5 A bag of tiles contains 6 green, 4 yellow, and 5 blue tiles. If one tile is pulled at random what is the probability of NOT choosing a green tile.
Make sure to give your probability as a fraction in simplest form.

Answers

Answer:

3/5

Step-by-step explanation:

6+4+5 = 15

5+4 = 9

9/15 = 3/5

Answer:

3/5

Step-by-step explanation:

Since it given that a bag of tiles contains:

6 green

4 yellow

5 blue

To Find:

If one tile is pulled at random what is the probability of NOT choosing a green tile.

Solve:

knowing that there are a total of 15 tiles {6+5+4=15}

And there is 6 green tiles

Thus, 15 - 6 = 9

Hence, the probability of Not Choosing a green tiles before simplest form is 9/15

GCD - 3

Divide both the numerator and denominator by the GCD

9 ÷ 3/15 ÷ 3

Reduced fraction = 3/5

Therefore, the probability of Not choosing a green tiles is 3/5

~Lenvy~

Adding and subtracting I need it right now the answer

Answers

Answer:

Just give me the questions and ill do it

Step-by-step explanation:

what is the volume inside a cylinder 10ft radius 6 ft height

Answers

Answer:

1884.956ft³

Step-by-step explanation:

[tex]volume = \pi {r}^{2} h \\ = \pi \times {10ft}^{2} \times 6ft \\ = 600\pi {ft}^{3} \\ = 1884.956 {ft}^{3} [/tex]

Please rate brainliest

solve this sum plsss urgent ​

Answers

1. 1 and -1 are two such rational numbers whose multiplicative inverse is same as they are.

2. absolute value is resembled using the formula : |x|

Here,

[tex]\hookrightarrow \sf |\dfrac{-3}{11} |[/tex]

[tex]\hookrightarrow \sf \dfrac{3}{11}[/tex]

final answer: 3/11

3.

[tex]\hookrightarrow \sf \dfrac{1}{2} \div \dfrac{3}{5}[/tex]

[tex]\hookrightarrow \sf \dfrac{1}{2} * \dfrac{5}{3}[/tex]

[tex]\hookrightarrow \sf \dfrac{5}{6}[/tex]

4.

Associative property can only be used with addition and multiplication

In the diagram, mZXYZ (Exterior Angle Y)=115º and
mZWXY (Angle X) = 45°.

What is m

Answers

Answer: 70 degrees

Step-by-step explanation:

The polynomial below is a perfect square trinomial of the form A^2 - 2AB + B^2

9x^2 - 18x + 36

A. True

B. False

Answers

Answer:

False

Step-by-step explanation:

[tex]9x^2-18x+36\\\\=(3x)^2- 3x \cdot 6+6^2\\\\\text{It is not in the form of}~ A^2-2AB+B^2[/tex]

The Pythagorean theorem states that a² + b² = c² for a right triangle with leg lengths, a and b, and hypotenuse length, c.

The hypotenuse of a right triangle is 5 units long and has the points (3, 0) and (0, 4) as end points. One of the legs has length 3.

Use the Point and Segment tools to draw a right triangle at demonstrates the other leg length is 4.

Answers

Answer:

Step-by-step explanation:

Draw the third point at (0, 0). This would make the distance from (3,0) to (0,0) equal to 3, and the distance from (0,4) to (0,0) be 4.

Gabe planted 15 sunflower seeds, and 40% of them have sprouted. How many of the sunflower seeds have sprouted?

Answers

Answer:

hello

15 x 0.4 = 6

6 sunflower

Step-by-step explanation:

Answer:

6 of them have sprouted

Step-by-step explanation:

(15/100)x40

0.15x40

6

please solve WILL MARK BRAINLIES
Solve the question 2 it is necessary but 1 upto you​

Answers

Answer:

See below ↓

Step-by-step explanation:

ii.

(x - iy)(3 + 5i) 3x - 3iy + 5ix - 5i²y3x + 5y + 5ix - 3iyConjugate of -6 - 24i ⇒ -6 + 24iReal part : 3x + 5y = -6Imaginative part : 5x - 3y = 24

Solving

9x + 15y = -18 [Multiplying the real part throughout by 3]25x - 15y = 120 [Multiplying the img part throughout by 5]34x = 102x = 327 + 15y = -1815y = -45y = -3

Answer:

Brainliest please

Step-by-step explanation:

3 5⁄7 + 1 9⁄14 = What is the answer if the answer is wrong I will come and haunt you

Answers

Answer:

[tex]5 \frac{5}{14} [/tex]

Step-by-step explanation:

[tex]3 \frac{5}{7} + 1 \frac{9}{14} [/tex]

Turn them into improper fractions

[tex] \frac{26}{7} + \frac{23}{14} [/tex]

[tex] \frac{2}{2} \times \frac{26}{7} + \frac{23}{14} [/tex]

[tex] \frac{52 + 23}{14} [/tex]

[tex] \frac{75}{14} [/tex]

Turn it into a mixed fraction

[tex]5 \frac{5}{14} [/tex]

Guys please help! i will mark brainliest to the right answers

Note: in order for me to mark a brainliest 2 people need to answer

Answers

Answer:

The answer is a (4,6) :)

0,4

2,5

4,6

Have an amazing day!!

Please rate and mark brainliest!!

Use point-slope form to solve for the slope.

(y-y,)=m(x-x,)
(4-5)=m(0-2)
m=1/2

we know the line passes through (0,4) so that is your y-intercept.

slope intercept form
y=mx+b
y=1/2 x + 4

now just plug in the points until you find one that is true:

Lucky for us the first one works (4,6)

funny that they give (2,5) as an option and it’s already in the question but they want you to find another point, so

The answer is A

I hope this helps and is the BRAINLIEST!

Good luck with your studies!

Melissa earns 41 dollars each week working part-time at a bookstore. She earns one additional dollar for each book that she sells.
Let A be the amount (in dollars) that Melissa earns in a week if she sells B books.
Write an equation relating A to B. Then use this equation to find the amount of money Melissa earns if she sells 25 books.
Exaction:
Amount Melissa earns if she sells 25 books: dollars

Answers

Answer:

answer down below

Step-by-step explanation:

1.A+B=61

2.41+25=61

Measurements of angles

Answers

Answer:

x = 60

Step-by-step explanation:

Since this triangle is an isosceles triangle, the angle next to the 60 degrees is 60 as well. The interior angles of a triangle adds up to 180 degrees, so:

60 + 60 + x = 180
120 + x = 180
x = 60
Hope this helps :)

HELPPP 50pts !!!!!!!!!!!

Answers

Answer:

44462, 1462

Step-by-step explanation:

multiply 43000 by 1.034% and get the answers

Percentage increase=3.4%

Current price=$43000

Increase:-

[tex]\\ \rm\Rrightarrow 0.034(43000)[/tex]

[tex]\\ \rm\Rrightarrow 1462\$[/tex]

New price

[tex]\\ \rm\Rrightarrow 43000+1462[/tex]

[tex]\\ \rm\Rrightarrow 44462\$[/tex]

The data set below represents the different costs of a refrigerator at a local home improvement store.
$777, $498, $619, $379, $895, $1,256, $1,052
a. What is the median of the first half of the data? (first quartile)

Answers

The price of the refrigerators that is the median for the first half of the data is $498.

What is the median of the first half of the data?

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

The prices arranged in ascending order is: $379, $498, $619, $777, $895, $1052, $1256

The first half of the prices are $379, $498, $619,

Median = $498

To learn more about median, please check: https://brainly.com/question/14746682

Find the lengths of the diagonals of rectangle WXYZ where WY = - 2x + 34 and XZ = 3x - 26.

Answers

Answer:

The measure of the diagonals are 10 units each.

Step-by-step explanation:

The diagonals of a rectangle are always equal (Refer to image).

⇒ -2x + 34 = 3x - 26

⇒ -2x + 60 = 3x

⇒ 60 = 5x

⇒ 60/5 = 5x/5

12 = x

Now, let's substitute the value of x into any diagonal.

⇒ -2x + 34 = WY

⇒ -2(12) + 34 = WY

⇒ -24 + 34 = WY

10 units = WY

Thus, the measure of the diagonals are 10 units each.

3 8 B. Maria bought 13 pounds of nails for a carpentry project. She ended up with pound of nails when she finished the project. a. Write an equation that can be used to determine how much of the 13 pounds of nails Maria used
I'm looking for a equation.​

Answers

Step-by-step explanation:

let 1 pound of nail = x

so, the carved out waste nail will be = 12x

total nails = 13x

so the equation is =

13x - 12x = x

OR

x + 12x = 13x

Or

13x - x = 12x

which of the following is true about the sequence graphed below?

Answers

Answer:

The sequence is arithmetic because the terms have a common difference

Step-by-step explanation:

The difference between each term in the sequence is constant. The sequence shown below, considering the y values of the coordinates, are 9, 7.5, 6, 4.5, 3, 1.5. Each term has a difference of 1.5, thus making all terms have a common difference, and making the sequence arithmetic.

Composing ________________ is another way to compose two functions

Answers

Answer:

is there any options or answers I could see?

Find an equation of the vertical line through (-4,-3)

Answers

Answer:

x = -4

Step-by-step explanation:

Vertical lines are up and down, which means the x coordinate stays the same.

This means the line is in the form

x=

x = -4

Answer:

Step-by-step explanation:

A vertical line has the general equation of x = a. y can be anything.

The x value that you will use is -4. Every point must have -4 as its value for a.

Answer: x = -4

It takes _____________ for the minute hand to travel from one number to the next.

A) 10 minutes

B) 15 minutes

C) 1 minute

D) 5 minutes

Answers

Answer:

D)

Step-by-step explanation:

Because -12 to 1 is 5 min.

Answer:

it takes five minutes for the minute hand to travel from one number to the next

Step-by-step explanation:

5

What is the process of writing a number as a product of several factors

Answers

Answer:

Step-by-step explanation:

you need to write out all the numbers that contain the specific number in their times tables, for example. factors of 20 are 1, 20, 4, 5, and 2 because all these numbers have 20 in their times tables.

What inverse operation will be used to undo the volume of Julie's jewelry box to find its edge lengths?

Volume formula for a cube is: volume = edge ^ 3

Answers

Answer:

Cubed root

Step-by-step explanation:

Do the inverse of cubed, cubed root

There are 40%bananas and 50% apples in a bowl. How many more percentage points apples should be there so that apples become 50% more than bananas

Answers

Answer:

This means 50% of the total should be apples regardless of how many fruits there are in the bowl. If the reader only has 40% apples, they know they need to increase the number of...

Step-by-step explanation:

A safe has 10,000 possible lock combinations. If a thief tried 80 combinations the first hour, then 40 every hour after, how many hours would it take before trying them all?

Answers

It takes 249hrs before trying them all.

At a competition of 8 teams, the order of the first three is recorded, How Many different outcomes does the competition have​

Answers

Answer:

366 possible outcomes

Step-by-step explanation:

just took a test on edge

When using a reflective device such as a Mira to bisect angle ABC where should the reflective device be placed?
A. Place the reflective device along line segment AB
B. Place the reflective device along line segment AC
C. Place one end of the reflective device on the vertex B and swing the other end until you can see the reflected line segment BC coincide with line segment AB
D. Place one end of the reflective device on the vertex A and swing the other end until you can see the reflected line segment AB coincide with line segment AC

Answers

Answer:

c. Place one end of the reflective device on the vertex B and swing the other end until you can see the reflected line segment BC coincide with line segment AB

Step-by-step explanation:

Answer:

Step-by-step explanation:

A string of a kite is 100 meters long and the inclination of the string with the ground is 60°. Find the height of the kite, assuming that there is no slack in the string.

Answers

Answer:

86.5

Step-by-step explanation:

Length of the string forms the hypotenuse AC of right angle triangle ABC.

C is the kite. A is the hand of the person (or, one end of the string). CB is the perpendicular

(height of the kite) from C on the ground. BC is the horizontal.

Sin 60° CB/AC = √3/2

height = 1.73/2 AC = 0.865 * 100 m = 86.5 m

answer correctly thanks ​

Answers

Answer:

Angle CBD is 65°

Step-by-step explanation:

All of these angles add up to 180:

So, we can make this equation: (x is CBD)

46 + 21 + 48 + x = 180

115 + x = 180

-115         -115

x = 65

Hope this helps

Answer:

∠CBD = 65 degrees

Step-by-step explanation:

Please open the attached image!!

Arc cd located on circle a has a central angle of 135 the radius is the circle is 24 centimeters what is the length of arc cd

Answers

[tex]\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=24\\ \theta =135 \end{cases}\implies s=\cfrac{(135)\pi (24)}{180}\implies s=18\pi ~cm[/tex]

Answer:

B) 18π cm

Step-by-step explanation:

Step 1

Given:

   Central angle θ=135°

    Radius of circle r=24 cm

    Length of arc CD =θ360°(2πr)

Step 2

  l=135°360°×2π×24

    l=38×2×π×24

    l=3×2π×3

      l=18π cm

Therefore

  Length of arc CD =18π cm

Thus, option B is correct.

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