Answer:
For samples of size n=200, the standard error is of 0.033.
For samples of size n=300, the standard error is of 0.027.
For samples of size n=400, the standard error is of 0.024.
Step-by-step explanation:
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 skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
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]
The percentage of married couples who own a single family home is 33% for a given population.
This means that [tex]p = 0.33[/tex]
Samples of 200:
[tex]s = \sqrt{\frac{0.33*0.67}{200}} = 0.033[/tex]
For samples of size n=200, the standard error is of 0.033.
Samples of 300:
[tex]s = \sqrt{\frac{0.33*0.67}{300}} = 0.027[/tex]
For samples of size n=300, the standard error is of 0.027.
Samples of 400:
[tex]s = \sqrt{\frac{0.33*0.67}{400}} = 0.024[/tex]
For samples of size n=400, the standard error is of 0.024.
Pioneer company has given an aptitude test to 71 potential job applicants. The test score had an average of 81 and a standard deviation of 8. Aptitude tests are known to follow a t-distribution. Pioneer rejects the bottom 5% of the applicants right away. The top 5% are hired immediately at managerial positions.
A. What is the degrees of freedom for this distribution?
B. What is the t-score for someone who has scored 93?
C. What is the cutoff score for those who'll be hired as managers?
D. What will be the cutoff score fro those who'll get rejected right away?
E. If we want to define the middle of the class (80%) to be average, what will be the lower cut-off scores?
F. If we want to define the middle of the class (80%) to be average, what will be the upper cut-off scores?
Answer:
Follows are the solution to the given points:
Step-by-step explanation:
In point A:
[tex]\to df = n - 1 = 71-1= 70[/tex]
In point B:
[tex]\to t = \frac{(x -X)}{s} = \frac{(93-81)}{8} = \frac{12}{8}= 1.5[/tex]
In point C:
For df = 70, the top 5% critical t score
tcrit = 1.666914479
Thus,
[tex]\to 1.666914479 = \frac{(x - 81)}{8}\\\\\to 1.666914479 \times 8 = (x - 81)\\\\\to 13.335315832 = (x - 81)\\\\\to 13.335315832 +81 =x \\\\\to x= 94.335315832[/tex]
In point D:
For df = 70, the top 5% critical t score
tcrit = -1.666914479
[tex]\to -1.666914479 = \frac{(x - 81)}{8}\\\\\to -1.666914479 \times 8= (x - 81)\\\\\to -13.335315832= (x - 81)\\\\\to -13.335315832+81 = x \\\\\to x = 67.664684168\\\\[/tex]
In point E:
The lower cutoff is 0.10 in the center, which would be around 80 %. The critical point therefore is
tcrit = -1.293762898
[tex]\to -1.293762898 = \frac{(x-81)}{8}\\\\\to -1.293762898 \times 8= (x-81) \\\\\to -1.293762898 \times 8= (x-81) \\\\\to -10.350103184=x-81\\\\\to -10.350103184+81=x\\\\\to x=70.649896816[/tex]
In point F:
The lower cutoff is 0.90 in the center, which would be around 80 %. The critical point therefore is
tcrit = 1.293762898
[tex]\to 1.293762898 = \frac{(x-81)}{8}\\\\\to 1.293762898 \times 8= x-81\\\\\to 10.350103184 =x-81\\\\\to 10.350103184 +81=x\\\\\to x = 91.350103184\\[/tex]
Es fills his sport bottle wit 1.2 liter of water how much milliliters of water is in ed sport bottle
What is the factored form of this expression?
9x2 – 64y2
Answer:
(3x + 8y)(3x - 8y)
Step-by-step explanation:
this is the difference of 2 perfect squares.
9x2 - 64y2
(3x + 8y)(3x - 8y)
A bag contains a total of 100 black and white marbles. Without looking a marble is chosen, recorded, and placed back in the bag. The student records 8 black marbles and 2 white marbles. Predict the number of black marbles in the bag.
Which expression is equivalent to 14y−12?
14(y−2)
−14(y−12)
14(y−12)
−14(y−2)
Answer:
The answer is 1/4 (y-2)
Step-by-step explanation:
I got the answer correct on my test!
A store sells nine types of cell phones. There are four colors of each type.
How many different options does a customer have when buying a cell phone at the store? HELP
Answer:
36
Step-by-step explanation:
nine times 4 is 36 making it 36 options to choose from
hope this helps! :)
2 0 IC : 7(x + 8) - 4(x + 10)
Answer:
3x+16
Step-by-step explanation:
Find the surface area.
Answer:
1120
Step-by-step explanation:
area of triangle= 1/2★base★height
area of traingle =1/2★15★8=60
area of 2 triangle= 60+60=120
area of base rectangle= length ★breath
=15★25=375
area of slanting rectangle= 25★17=425
area of side rectangle=8★25=200
so total area= 120+375+425+200=1120
How many of these figures have at least one vertex?
Answer:
Two of those figures have a vertex.
Step-by-step explanation:
Hope this helped Mark BRAINLIEST!!!
The number of figures has at least one vertex is 2. Therefore, option C is the correct answer.
What is a vertex?A vertex is a point in geometry where two or more curves, lines, or edges converge. As a result of this definition, vertices are the intersection of two lines that create an angle as well as the corners of polygons and polyhedral.
From the given figure,
Sphere: Spheres have no vertex (the surface is a curve).
Triangular pyramid: Triangular pyramid has 5 vertex, 4 faces and 6 edges
Cube: Cube has 8 vertex, 6 faces and 8 edges.
Cylinder: A cylinder has 0 vertices. A cylinder has 2 edges. A cylinder has 2 faces and 1 curved surface.
Therefore, option C is the correct answer.
Learn more about the vertex here:
https://brainly.com/question/18933031.
#SPJ2
A car manufacturer has two production plants in different cities. Every day, plant A produces 120 of a certain
type of car, while plant B produces 80 of those cars. On average, all of these cars have a paint thickness of
0.04 mm with a standard deviation of 0.003 mm.
Every day, quality control experts take separate random samples of 10 cars from each plant and calculate the
mean paint thickness for each sample. They then look at the difference between those sample means.
Consider the formula:
031-32 =
02
+
ni 12
Why is it not appropriate to use this formula for the standard deviation of TA
IB?
Answer: We cannot assume independence for the cars sampled from plant B.
Step-by-step explanation: Khan Academy “With a sample size of 10 cars, we need at least 100 cars in the population to assume independence based on the 10% condition, but there are only 80 cars made each day at plant B.”
Answer: We cannot assume independence of the cars sampled from plant B.
Step-by-step explanation:
(d) State any two(2) properties of a semiconductor material.
Answer:
Semiconductors are somewhere in-between conductors and insulators. This means that they are specific when it comes to conducting electricity meaning that their conduction of electricity varies based on their condition at the time.
For instance, they can conduct electricity when heated.
Properties:
1. Perfect insulator at Absolute Zero.
As mentioned above, semi conductors are better at conducting electricity when they are heated. At Absolute zero - the lowest temperature possible - therefore, these materials would conduct absolutely no electricity thereby making them perfect insulators.
2. More resistance than Conductors but less than Insulators
As mentioned above, they have properties in-between those of insulators and conductors. One of those is their resistance. They can resist more than conductors but less than insulators.
2.45 divided by 0.17 =
Its not 14.41176470588235
Answer:
0.06938775
Step-by-step explanation:
This is the correct answer.
5 cm
1 cm
1 cm
2 cm
4 CM
The perimeter of this shape is
13 cm
18 cm
20 cm
22 cm
Answer:
the perimeter of the shape is 13cm
Step-by-step explanation:
Perimeter is the distance round a shape. As for polygons perimeter is the sum of all the sides. In this polygon, the sum of all the sides is 5cm + 1cm + 1cm + 2cm + 4cm which is equal to 13cm
Choose all the possible solution that makes the inequality statement True
x + 15 ≤ 35
O 20, 21, 22
O 18, 19, 20
O -18,-19,-20
O 50, 51, 52
Answer:
18, 19, 20
-18,-19,-20
Step-by-step explanation:
x + 15 ≤ 35
x ≤ 35 - 15
x ≤ 20
x must be 20 or less than it
4. What percent of values is between the first and third quartiles?
5. Find the interquartile range.
Answer:
IQR = 2.5
Step-by-step explanation:
Question 5:
IQR=Q1-Q3
IQR=4.75-2.25 = 2.5
Question 4:
Q1=2.5 and Q3=4.75 between those two is the median so, it may be 3.0 or 3% just not positive on question 4.
Can anyone else help on question 4?
What is the total surface area of a cylinder with a radius of 12 mm and height of 3 mm? (Use 3.14 for it.) DO NOT PUT LABEL ON ANSWER.
Answer:
A≈1130.97
------------------------------------------------------
Step-by-step explanation:
A=2πrh+2πr2=2·π·12·3+2·π·122≈1130.97336
Lena spent $39 on fruit at the grocery store. She spent a total of $60 at the store. What percentage of the total did she spend on fruit?
Answer:
The answer is 65%
Step-by-step explanation: Divide 60 by 39 and multiply by 100. So it will look like 39/60=0.65*100=65%. I hope this helps. :)
What is the distance between (5, 5) (5, -2)
Answer:
7 units
Step-by-step explanation:
To find the distance between a pair of points, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. Substitute the x and y values of (5,5) and (5, -2) into the formula and simplify:
[tex]d= \sqrt{(5-5)^2+(5+2)^2} \\d = \sqrt{(0)^2+(7)^2} \\d = \sqrt{0+49} \\d = \sqrt{49}\\d=7[/tex]
So, the answer is 7 units.
PLEASE HELP DUE IN 2 HOURS!
4.22 g/cm to lbs/ft
Answer:
The answer is 0.28 lbs/ft or 0.3 lbs/ft, if rounded.
Step-by-step explanation:
In order to solve, divide the mass / length value by 14.882.
I hope this helps you.
Need answers plz would be appreciated
Answer:
1) x=5
2) x=7
3) x=8
4) x=4
5) x=7
6) x=8
Step-by-step explanation:
Since each pair is similar, their sides are in ratio:
1)
(2x+2)/6=18/9
2x+2=2*6
2x=12-2
x=10/2
x=5
2)
(x-2)/4=10/8
x-2=1.25*4
x=5+2
x=7
3)
(3x-6)/12=24/16
3x-6=1.5*12
3x=18+6
x=24/3
x=8
4)
(2x+4)/15=16/20
2x+4=0.8*15
2x=12-4
x=8/2
x=4
5)
(x+2)/15=6/10
x+2=0.6*15
x=9-2
x=7
6)
(-3+x)/6=10/12
-3+x=6*(10/12)
x=5+3
x=8
The number of points Marcus scored in different rounds of a computer board game is shown
235 342 328 352 352 306 317
6. What score does Marcus need in his next
game to have a mean of exactly 325?
Answer:
583
Step-by-step explanation:
The mean of a data set is the average of the data set. It can be found by adding up all of the values and then dividing by the total number of values added. In this case, one is given the mean, and one needs to find a missing value. Since there is a missing element, add one to the total number of values in the data set. The missing element is represented by the parameter (x). Set up an equation and solve:
[tex]\frac{(236)+(342)+(328)+(352)+(352)+(306)+(317)+(x)}{8}=325\\[/tex]
Simplify,
[tex]\frac{2233+x}{8}=352[/tex]
Inverse operations,
[tex]2233+x=2816\\\\x = 583[/tex]
Answer:
It’s 367
Step-by-step explanation:
Which fraction is equivalent to 2/-6
Answer:
-1/3
Step-by-step explanation:
What statement best describes a trapezoid? *
1 point
a. All sides are equal and opposite sides are parallel
b. Exactly one pair of parallel lines
c. Has 2 sets of parallel lines and four 90 degree angles
d. Has 2 equal sides and 3 acute angles
Answer:b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
because it has two parallel side and and other are just lines but being quadrilateral its sum is 360
The length, 1, of a wheelchair ramp is 3 more than 11
width, w. Which equation represents the relationship between
the length and the width of the ramp?
Answer: the length is 8
Step-by-step explanation: Because 11 minus 8 is 3
HELP HELP HELP THIS IS DUE TODAY PLZZ HELP ME 1. Plot and label the temperatures on a number line. You can create it by using a drawing program, by drawing it by hand and sending in a picture, or by describing in detail how the completed number line should look.
Answer:
What's the the temperatures?
Step-by-step explanation:
please help i’ll give brainliest
100 POINTS!!
What is the value of x? Enter your answer in the box.
Please help answer !:)
Will give brainlst!!
Have a nice day
Answer:
10, exponents, 10, expression
Step-by-step explanation:
Convert .45 tons to kilograms to the nearest hundredth
Answer:
40,823.31 kilograms.
Step-by-step explanation:
Evan can do one sit-up every 5 seconds. How many minutes will it take him to do 24 sit-ups ?
Answer: 120 minutes.
not sure if im right lol brainliest or a thank u please :)) <3