A certain test preparation course is designed to help students improve their scores on the MCAT exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 7 students' scores on the exam after completing the course: 37,12,12,17,13,32,23 Using these data, construct a 80% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal. Step 1 of 4 : Calculate the sample mean for the given sample data. Round your answer to one decimal place.
Answer:
The 80% confidence interval for the average net change in a student's score after completing the course is (15.4, 26.3).
Step-by-step explanation:
The net change in 7 students' scores on the exam after completing the course are:
S = {37 ,12 ,12 ,17 ,13 ,32 ,23}
Compute the sample mean and sample standard deviation as follows:
[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{7}\times 146=20.857\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}}=\sqrt{\frac{1}{7}\times 622.8571}=10.189[/tex]
As the population standard deviation is not known, a t-interval will be formed.
Compute the critical value of t for 80% confidence interval and 6 degrees of freedom as follows:
[tex]t_{\alpha/2, (n-1)}=t_{0.20/2, (7-1)}=t_{0.10,6}=1.415[/tex]
*Use a t-table.
Compute the 80% confidence interval for the average net change in a student's score after completing the course as follows:
[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\times\frac{s}{\sqrt{n}}[/tex]
[tex]=20.857\pm 1.415\times\frac{10.189}{\sqrt{7}}\\\\ =20.857\pm 5.4493\\\\=(15.4077, 26.3063)\\\\\approx (15.4,26.3)[/tex]
Thus, the 80% confidence interval for the average net change in a student's score after completing the course is (15.4, 26.3).
How do I solve for x?
Answer:
We will use the thales's theorem to solve for x
Let ? be x
then, the other segment on the same line as x will be 20 - x since the line is 20 units long
According to thales's theorem:
"If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio"
Hence, we can write that,
9 / 3 = 20-x / x
3x = 20 - x
4x = 20
x = 5 units
Hence, the length of the line segment marked as '?' is 5 units
7th grade math help me pleasee
Answer:
death valley<tallahassee | Death valley<westmooreland
Step-by-step explanation:
sorry if this is wrong i dont understand
Answer:
death valley<talahasse.
the negative value of death valley is less than talahasse.
Step-by-step explanation:
a negative number is way lower than a positive number.
What is the 8th term in the pattern 1,2,5,10,17
Answer:
50
Step-by-step explanation:
what type of number is 18.62?
that is a rational number.
Solve for y
1/3y+2=1/7y
Answer:
y=2
y=0
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
7*y-1-(3*y^2+y-1)=0
(7y - 1) - ((3y2 + y) - 1) = 0 3.1 Pull out like factors :
6y - 3y2 = -3y • (y - 2)
Answer:
y = -21/2
Step-by-step explanation:
multiply both sides of the equation by 21 so it would be
7y+42=3y
move the terms
7y-3y=-42
collect like terms
4y=-42
divide both sides by four
y= -21/2
find the coordinates of the point 3/10 of the way from A to B
Answer:
the coordinates of b is (9,7)
the coordinates of a is (-4,-6)
Step-by-step explanation:
What is the solution to the equation? 13+x=74
x=-6 1/4
x=-6 1/4
x =20
x=21
My Cours
Course H
Decide if the events A and B are mutually exclusive or not mutually exclusive. A person is selected at random.
A: Their birthday is in the fall.
B: Their birthday is in October.
Homewo
Answer: not mutually exclusive
Step-by-step explanation:
3(x−2)+5x=18 what is the value of x
Answer:
x=3
Step-by-step explanation:
Solve for x.
bx-10=8
Answer: x = 18/b
................................
Answer:
you can put your answer as 9 or 2
Step-by-step explanation:
Bradley sold at least 127 juices and coffees. He sold nine more juices than coffee ‘s. What is the minimum amount of coffees Bradley could have sold? And do your answer in the box
Please help
Answer:
59
Step-by-step explanation:
c=coffee, j=juice
c + j >=127
j = c +9
c + c + 9 >=127
2c >=127-9
2c>=118
c>= 59
check by 59+59+9=127
find all missing angles in the diagram below
please help ‼️
Complete the statement with <, >, or =.
Answer:
>
Step-by-step explanation:
Answer:
>
Step-by-step explanation:
-_/18 = -4.24 which is less than -4
What number is 272 less than 2,744?
Answer: 2472
Step-by-step explanation: It is just 2744 minus 272
Answer:
2472 okay that is your answer, you just subtract 272 from 2744. you can use a calculator to solve of paper
Therese is throwing a party and wants to make goodie bags. She has 26 lollipops and 14 tootsie rolls. What is the greatest amount of goodie bags can she make? How many lollipops will be in each? How many tootsie rolls?
She can make 2 goodie bags.
13 lollipops
17 tootsie rolls
The GCF (greatest common factor) of 26 and 14 is 2; therefore making the greatest number of goodie bags she can make is 2.
If you divide both the numbers (26,14) by 2, you get 13 and 17.
Please mark branliest if this helped
Write the standard form of the equation:
y=5/2(x+2)
Answer:
y=5/2 x
Step-by-step explanation:
The standard form of a linear equation is Ax +By=C
WILL GIVE BRAINLIEST!! Which graph shows a slope of 2 and a y-intercept of -2?
Answer:
The second graph (where the line goes through the points -2 and 1)
Step-by-step explanation:
A y-intercept is where the line crosses the y axis. The line crosses the y-axis at -2.
Slope is the change in y over the change in x. From -2 to 1, the change in y is 2, it goes up 2, and the change in x is 1 because it goes up 1. Therefore the slope is 2/1 which can be simplified to 2.
Determine the next 3 terms after : 1 , -2 , 3 , -4 , 5
Start with the sequence {1, 2, 3, 4, 5, 6, 7, 8, ...}
Then change the sign of every other term so you'll have the first term positive, the second term negative, and so on.
That updates to {1, -2, 3, -4, 5, -6, 7, -8, ...}
Every odd term (1,3,5,..) is positive while every even term (-2,-4,-6) is negative.
-4 1/2-(-2 2/3) worked out pls help if someone dosen`t answer i might fail pls
Answer:
The answer is -11/6
Step-by-step explanation:
1 ft. = 12 in
Convert 4 feet to inches.
Convert 48 inches to feet.
Answer:
48 inches, 4 feet
Step-by-step explanation:
since each foot is 12 inches and we have 4 feet, we can multiply both numbers to convert 4 feet to inches. 12*4= 48 inches
to convert 48 inches to feet, we can divide by 12 since 12 inches is a foot. 48/12=4 feet
Bender Electronics buys keyboards for its computers from another company. The keyboards are received in shipments of 100 boxes, each box containing 20 keyboards. The quality control department at Bender Electronics first randomly selects one box from each shipment and then randomly selects 5 key boards from that box. The shipment is accepted if not more than 1 of the 5 keyboards is defective. The quality control inspector at Bender Electronics selected a box from a recently received shipment of keyboards. Unknown to the inspector, this box contains 6 defective keyboards.
Round your answers to four decimal places.
a. What is the probability that this shipment will be accepted?
P(shipment accepted)=
b. What is the probability that this shipment will not be accepted?
P(shipment not accepted)=
Answer:
(a) 0.5282
(b) 0.4718
Step-by-step explanation:
It is provided that the shipment is accepted if not more than 1 of the 5 keyboards is defective. That is for the shipment to be acceptable there should be at most 1 defective .
It is also provided that the box selected has 6 defective keyboards.
So, the probability of selecting a defective keyboard is, p = 6/20.
Let X = number of defective keyboards.
The random variable X follows a binomial distribution with parameters n = 6 and p = 6/20.
(a)
Compute the probability that this shipment will be accepted as follows:
[tex]P(X\leq 1)=P(X=0)+P(X=1)[/tex]
[tex]=[{5\choose 0}(\frac{6}{20})^{0}(1-\frac{6}{20})^{5}]+[{5\choose 1}(\frac{6}{20})^{1}(1-\frac{6}{20})^{4}]\\\\=0.16807+0.36015\\\\=0.52822\\\\\approx 0.5282[/tex]
Thus, the probability that this shipment will be accepted is 0.5282.
(b)
Compute the probability that this shipment will not be accepted as follows:
P (shipment not accepted) = 1 - P(shipment accepted)
= 1 - 0.5282
= 0.4718
Thus, the probability that this shipment will not be accepted is 0.4718.
Raoul make shell necklaces to sell at a craft fair. the supplies for each necklace cost $3.75. Raoul sells the necklaces for $11.25. what is the percent markup for a shell necklace?
Answer: The percent markup for a shell necklace = 200%
Step-by-step explanation:
Given: Cost price per necklace = $3.75
Selling price per necklace = $11.25
Mark up = (Selling price - Cost price )
= $ (11.25 -3.75 )
=$ 7.5
The percent markup for a shell necklace = [tex]\dfrac{\text{Mark up}}{\text{cost price}}\times100\%[/tex]
[tex]=\dfrac{7.5}{3.75}\times100\%\\\\=2\times100\%=200\%[/tex]
Hence, The percent markup for a shell necklace = 200%
The percent markup for a shell necklace is 200%.
Definition of markupMarkup can be defined as the rate at which the cost of a product is increased. The higher the markup, the higher the profit earned by a seller all things being equal.
Calculation of percentage markupPercentage markup = (profit / cost price) x 100
Profit = $11.25 - $3.75 = $7.50
Percentage markup = ($7.50 / $3.75) x 100 = 200%
To learn more about percentages, please check: https://brainly.com/question/25764815
You find 1/6 of a case of
batteries. You to divide this
equally between 6 people. How
much of a case does each person
receive?
20. Shane rolls a dice numbered 1 through 6. What is the probability Shane rolls a 5?
a. 5/6
b. 1/6
c. 1/5
d. 1/2
Answer:
b
Step-by-step explanation:
7. Order the following integers from least to greatest: 0,5,18,100,22
Answer:
0, 5, 18, 22, 100
Step-by-step explanation:
Order the integers from least to greatest which means that the smallest number to the biggest number. Since the biggest number is 100 it goes at the end and 0 is the smallest number so it goes at the end. After that, all you have to do is find which numbers are bigger and smaller. So, the numbers should go in this order 0, 5, 18, 22, 100.
Hope This Helps :)
Does anyone know the answer for this please?
Your teacher didn't put any xy axis on this grid. But I'm assuming that the vectors are coming from the origin (0,0)
If that is the case, then vector v = (-2,4) and vector u = (2,1)
Add the corresponding coordinates to get
v+u = (-2,4)+(2,1) = (-2+2,1+4) = (0,5)
The answer is therefore choice BThe general rule for adding vectors is
if u = (a,b) and v = (c,d), then u+v = (a+c, b+d)
R
(x + 1)
(3x - 5)
S
Р
What is mzPQR ?
How many times larger is the value of 370,000 than 370
Answer:
1000 is the answer that you are looking for
hope this helps\
HELP PLEASE ITLL MEAN A LOt ILL GOVE A GOOD RATING AND BRAIN
Answer:
24, -5, -5, -40, -5
Step-by-step explanation:
To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.
Answer:
12) 24
13) -5
14) -5
15) -40
16) 5
Step-by-step explanation:
Things to remember when you multiply/divide with negatives.
*Two negatives that are multiplied/divided are positive.
*A positive multiplied/divided by a negative turns negative.
*A negative multiplied/divided by a positive remains a negative.
Simplified version of the equations:
12) 6×4= 24
13) 20÷(-4)= -5 *The negative sign of the 4 turns the outcome into a negative.
14) -15÷3= -5
15) 5×(-8)= -40 *Don't forget the negative sign from the 8.
16) 10÷2= 5
You can also input these equations into a calculator.
Hope this helps!