A human resources manager keeps a record of how many years each employee at a large company has been working in their current role. The distribution of these years of experience are strongly skewed to the right with a mean of 333years and a standard deviation of 222 years. Suppose we were to take a random sample of 444employees and calculate the sample mean for their years of experience. We can assume independence between members in the sample.
What is the probability that the mean years of experience from the sample of 444 employees xˉxˉx, with, \bar, on top is greater than 3.53.53, point, 5 years?
Answer:
0.3085 = 30.85% probability that the mean years of experience from the sample of 4 is greater than 3.5 years.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes 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 proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Distribution of years of experience:
Mean 3, so [tex]\mu = 3[/tex]
Standard deviation 2, so [tex]\sigma = 2[/tex]
Sample of 4:
[tex]n = 4, s = \frac{2}{\sqrt{4}} = 1[/tex]
What is the probability that the mean years of experience from the sample of 4 is greater than 3.5?
1 subtracted by the pvalue of Z when X = 3.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{3.5 - 3}{1}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a pvalue of 0.6915
1 - 0.6915 = 0.3085
0.3085 = 30.85% probability that the mean years of experience from the sample of 4 is greater than 3.5 years.
Answer:
We cannot calculate this probability because the sampling distribution n ot normal
Step-by-step explanation: Khan academy
Use a model to divide. 1/2÷7 . What is the answer 2/7 1/14 14 3 1/2?
Answer:
1/14 i think
Step-by-step explanation:
A train travels 4.4 miles in
4 minutes. At this rate, how many miles will it
travel in 58 minutes?
Answer:
63.8 miles
Step-by-step explanation:
If the train travels 4.4 miles in 4 minutes, then you have to divide 4.4/4 to find the miles the train travels per minute.
4.4/4 = 1.1
So, since the train travels 1.1 miles per minute, and we want to know how fast it travels in 58 minutes, we have to multiply 1.1 by 58. Since 1.1 is a decimal number, we have to multiply both sides by 10 to get 11x580.
11x580 = 5800+ 580 = 6380
Since we multiplied both numbers by 10, we have to divide 6380 by 100.
6380/100 = 63.8
So, the train travels 63.8 miles in 58 minutes.
The value of a house wa shilling 600,000 in 2005.It increased by 25% in 2006 and 10% in 2007 but dropped by 15% in 2007 find its value in 2008
Given:
The value of a house is 600,000 in 2005.
It increased by 25% in 2006 and 10% in 2007 but dropped by 15% in 2007.
To find:
The value of the house in 2008.
Solution:
We have,
Value of house in 2005 = 600,000
It increased by 25% in 2006.
Value of house in 2006 = [tex]600,000+\dfrac{25}{100}600,000[/tex]
= [tex]600,000+150,000[/tex]
= [tex]750,000[/tex]
It increased by 10% in 2007
Value of house in 2007 = [tex]750,000+\dfrac{10}{100}750,000[/tex]
= [tex]750,000+75,000[/tex]
= [tex]825,000[/tex]
But it dropped by 15% in 2007.
Value of house in 2008 = [tex]825,000-\dfrac{15}{100}825,000[/tex]
= [tex]825,000-123,750[/tex]
= [tex]701,250[/tex]
Therefore, the value of the house in 2008 is 701,250.
help 8th grade adv math
Answer:
6, -6
Step-by-step explanation:
The 2nd roots of 36 are 6 and -6 since
6^2 = 36
and
(-6)^2 = 36
I need help grades due tomorrow in a little
Answer:
3) Each cookie costs $2.75
Step-by-step explanation:
That statement is true based on the graph.
13. simplify and factor this expression; 12x+18y+18x D NEED HELP ASAP
Answer:
30x+18y
Step-by-step explanation:
12x+18y+18x
combine like terms
30x+18y
Answer:
6 ( 5x + 3y ) did the calculations, just simplified
if the measure of angle a is 109, what is the measure of angle b
Answer:
71
Step-by-step explanation:
Those are supplementary angles meaning they add up to 180 degrees
180 - 109 = 71
That would make b 71 degrees
Answer:
71 degrees !!
Step-by-step explanation:
Since the angles A and B both are next to each other, they form a linear pair. Since they are a linear pair, they both add up to 180 degrees (same as a straight angle!) So, if A is 109, you would simply subtract that from 180, and you'd get 71 !!
180-109= 71 !!
I hope this helps... have a great day !
Which of these best describes a pair of supplementary angles?
a . Two angles whose sum is 90°.
b . Two non-adjacent angles formed by the intersection of two lines.
c . Two angles whose sum is 180°
d . Two angles that share a common side and vertex with no common interior points.
Answer:
c . Two angles whose sum is 180°
Step-by-step explanation:
Hope it helps you in your learning process
Each day, Martin lifts weights for 10 minutes and runs on the
treadmill for 25 minutes. Write two equivalent expressions and
then find the total minutes that Martin exercises in 7 days.
Answer:
Martin Exercised 35 minutes in 7 days. Correct me if I'm wrong
Interest of 200 million dollars 53% and 22 years will give brainliest to correct answer
Answer:
$2,313,150,687,166.22 is the interest accrued.
Step-by-step explanation:
Hope this helps
Answer:
$2,313,150,687,166.22 is the interest
Step-by-step explanation:
hope this helps.
please help it’s urgent!!
Answer:
Perimeter= a1+a2+a3
P= 20+ 15+ 25= 60 units
Each square in the grid is a 1 x 1 centimeter square.
What is the area of the shape?
8square centimeters
Step-by-step explanation:
1 square is 1cm2. theres 8 squares so 8cm2
Triston is playing basketball, and has 13 ounces of water in his water bottle. At half-time, he drinks ⅔ of his water. Later, he pours 3 ounces of water on his head to cool down. How much water does Triston have left in his bottle after the game?
Answer:
he has 5 ounces left in his bottle
what is this 12 x ? = 5
0.416666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666
WILL MARK BRAINLIEST ASAP HELP (a-b)^2*x-y(b-a)^2
Answer:a2x2 + a2y2 + 2axy - b2x2 + 2b2xy - b2y2
Step-by-step explanation:
i hope it helps
The flower shop has 40 times as many flowers in the cooler as Kendall has in her bouquet. Kendall has 15 flowers. How many flowers are in the cooler?
Can anyone help me thank you
Answer:
tu debes de saber las respuestas por qué tú estás como en onceavo
It cost a bicycle company $8750 to make 50 bikes in its first month of operation and $14925 to make 115 bikes during its second month. Find a linear equation to express the company’s monthly production cost, y, in terms of the number, x of bikes it makes. y=?
Answer:
Step-by-step explanation:
[tex]y=mx+b\\ \\ m=\frac{14925-8750}{115-50}=95\\ \\ y=95x+b,\ (50,8750)\\ \\ 8750=95(50)+b\\ \\ 8750=4750+b,\ b=4000\\ \\ y=95x+4000[/tex]
SOMEONE PLS HELP WITH THIS! Picture is provided
Step-by-step explanation:
to simplify this try making table and substitute the value of X and get y
Reflect (5, 4) over the y-axis.
Then translate the result to the right 2 units.
What are the coordinates of the final point?
Answer:
(-3, 4)
Step-by-step explanation:
The ratio of the three angles of a triangle is 2:4:6. What is the measure of the
SMALLEST angle?
» A biologist is studying the depths of plants growing near the surface of the ocean. He uses
negative numbers to represent the depths of plants he finds below sea level.
-)) The table shows the depths of four plants.
Order the numbers from least to greatest.
1
red algae
-15, feet
sea grass
3
-20
feet
4
3
-20
-15
3
-14
4
green seaweed
3
-14- feet
4
mangrove
1
feet
4
Answer:
The pic is below :)
Step-by-step explanation:
a) The data in ascending Order -83/4 < -67/4 < -62/4 < -1/4.
b) Sea Grass is the furthest below the Surface of water.
What is Ascending Order?Numbers can be arranged in ascending order, from least value to highest value. The arrangement is left to right. Increasing order is another name for ascending order.
Given:
-20 3/4, -15 1/2, -14 3/4, -1/4
Now, Writing the above fraction into Normal fraction
-83/4, -31/2, -67/4, -1/4.
Now, Arranging the data in ascending Order
-83/4 < -67/4 < -62/4 < -1/4.
b) Sea Grass is the furthest below the Surface of water.
Learn more about Ascending Order here:
https://brainly.com/question/320500
#SPJ5
PLEASE HELP IM ON A TIME LIMIT!!!
Answer:
i answered the other question like this check your other question for the answerrs
Step-by-step explanation:
ROBERT bought 2 packages of cookies for $6.00. How much would 3 packages of cookies cost?
Answer:
9.00$
Step-by-step explanation:
6 divided by 2 = 3 so each pakage cost 3$ so it would be 9.00$
A number that adds with 2/3 substrate 1/3 will be 8.What should be the number??
Answer:
The number is [tex]\frac{23}{3}[/tex]
Step-by-step explanation:
I am going to call the number x.
A number that adds with 2/3 subtract will 1/3 will be 8.
As an equation, this is:
[tex]x + \frac{2}{3} - \frac{1}{3} = 8[/tex]
Now we solve the equation to find x. So
[tex]x + \frac{2-1}{3} = 8[/tex]
[tex]x + \frac{1}{3} = 8[/tex]
[tex]x = 8 - \frac{1}{3}[/tex]
[tex]x = \frac{24}{3} - \frac{1}{3}[/tex]
[tex]x = \frac{24-1}{3}[/tex]
[tex]x = \frac{23}{3}[/tex]
The number is [tex]\frac{23}{3}[/tex]
what is 9+10x6x[7x7]+8x6x6x6x7x8
Answer:
99717
Step-by-step explanation:
Use PEMDAS
P stands for parenthesis so you do 7 x 7 first. It equals 49. E stands for exponents but there aren't no exponents. M stands for multiplying so you multiply 10 x 6 = 60. Then 60 x 49 = 2940. 8 x 6 = 48. 48 times 6 is 288. 288 x 6 is 1728. 1728 x 7 is 12096. 12096 x 8 is 96768. The A in PEMDAS is addition. 9+2940 equals 2949. 2949 + 96768 = 99717.
A quality control inspector is testing microprocessor chips made during a single day by a new machine to determine the proportion of defective chips. She selects an SRS of 80 chips from the 3000 chips produced by the machine on that day. it turns out that six of the chips are defective. Which of the following conditions for constructing a confidence interval for the proportion of defective chips has been violated?
A. np>10 and n(1-p) > 10
B. An SRS has been taken from the population of interest.
C. The population is at least 10 times the size of the sample.
D. The population is approximately Normally distributed.
E. There appear to be no violations.
Answer:
The answer is "Choice A".
Step-by-step explanation:
[tex]\to \hat p = \frac{6}{80} = 0.075\\\\\to n \hat p = 6 \ngeq 10[/tex]
In this question, "choice A" violates the population size at a minimum of ten times the magnitude including its sample, and therefore does not violate its requirement that is the sample, which was taken in change.
a manager of company plans to produce 3000 units in a day employing 15 workers working 8 hours.How many units can be manufactured when manager employs 18 workers working 6 hours?
Answer:
2,700 units
Step-by-step explanation:
I NEED HELP PLSSSSSSS
Can Some please help
Answer:
First we need to find out how much is 1 inch in feet
80/5
=16
Now we just simply need to multiply
16x3/4
=12
Your answer is 12
Hope it Helps!!
