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.

Answers

Answer 1

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).


Related Questions

R
(x + 1)
(3x - 5)
S
Р
What is mzPQR ?

Answers

(x+1)+(3x-5)=180
4x-4=180
4x=184
x=46

3(46)-5
138-5
133

mZ133*

I need help on this will give brainlist

Answers

The answer is A because the point of reflection is located on -1 while it reflects horizontally

A mug of coffee cools down
1/2
of a degree in
1/5
of an hour. At what rate is the coffee cooling?

I need it now pleaseeee

Answers

Answer:

2 1/2

ggez

Step-by-step explanation:

What is the answer to 6.59+(-7.8)-(2.41)=

Answers

The answer is -3.62... hope it helps! :)

Four times the sum of a number and -3 is 4 more than twice the number. Which equation below can be used to find the number
4(x - 3) = 2x + 4
3(x - 4) = 4 + 2x
4x - 3 = 2x +4
4x + -3 = 4 + 2x

Answers

Answer:

use bodmas and solve this

find x and y (Please answer)​

Answers

Answer:

X=58

Y=32

Step-by-step explanation:

Right angle is 90°

90-58=32

The one thats 58° is opposite on x so they are th same what means y is 32°

which list shows the triangles in order from greatest area to least area

Answers

Answer:

H - Triangle Z, Triangle X, Triangle Y

Step-by-step explanation:

Triangle X area = rad(66.5) cm^3 ≈ 8.155cm^3

Triangle Y area = 8.15cm^3

Triangle Z area = (17.5/2)cm^3 = 8.75cm^3

8.75cm^3 > 8.155cm^3 > 8.15cm^3

Therefore:

Triangle Z area > Triangle X area > Triangle Y area

I need help on this one please

Answers

Answer:

it is D

Step-by-step explanation:

just reflect by y=-1 its easy

The number of measles cases increased 44.4% to 95 cases this year. What was the number of cases prior to the increase

Answers

Answer:

65.97 cases

or approx. 66 case

Step-by-step explanation:

V = 5x + 2y
X = 3
y = -4
a) Work out the value of V.

Answers

V= 5(3)+2(-4)
V= 15-8
V=7

There is a meeting in Conference Room A.
The ratio of women to men is 3 to 4. If there
are 18 women at the meeting, how many men are there?
A) 21 men
B) 54 men
C) 24 men
D) 72 men

Answers

Answer:

I think 21 is it right ...

21.....because if it’s 3 to 4 and their is 18 women at the meeting their would be 21

A rectangular garden is fenced on all sides with 278 feet of fencing. The garden is 9 feet longer than it is
wide. Find the length and width of the garden.

Answers

It’s 301 bc u add them together

Solve the equation for all values of x in simplest form (x + 3)^2 = -16

Answers

Answer:

x = -7 or  x = 1

Step-by-step explanation:

Given expression:

    (x + 3)²  = -16

 

Problem;

   Solve for x;

Solution:

 To solve for x; we use the factorization method;

     Take -16 to the left of the equation;

      (x + 3)²  = -16

         (x + 3)² + 16 = 0

       (x+ 3)² + 4²  = 0

if    x² + y²  = (x + y)(x - y)

     So;

       (x + 3 + 4) (x + 3 - 4) = 0

       (x + 7)(x - 1) = 0

       x + 7  = 0 or x - 1 = 0

      x = -7 or  x = 1

One difference between obtaining a car with a lease or a loan is that _____.


a. a loan will not have any additional fees or payments that need to be considered while a lease comes with a handful of additional charges


b. a lease will not have any additional fees or payments that need to be considered while a loan comes with a handful of additional charges


c. a loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees


d. a loan finances the depreciated value of the car with related fees while a lease finances the total purchase price of the car


THE ANSWER IS: C. a loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees

Answers

Answer:

C. A loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees

Step-by-step explanation:

He legit said it. (Just writing this for those who are blind)

One difference between obtaining a car with a lease or a loan is that: a loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees.

What is the difference between a Loan and a Lease?

A loan is suitable for a property that you wish to possess at the maturity date, i.e. anything with long-term worth.

On the other hand, a lease is ideal for items that deteriorate gradually and will not retain their worth beyond the period.

The most significant contrast between a lease and a loan is the manner in which the finance costs are paid.

The interest on a loan is amortized throughout the period. i.e. your consumer pays more interest at the start and more principal in the end.

Although leasing is not free, the financing charges are predetermined all through the period and are not deducted from the borrowed amount.

From the information given:

One difference between obtaining a car with a lease or a loan is that: a loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees.

Learn more about Loan and lease here:

https://brainly.com/question/24460932

You need to borrow money for gas, so you ask your mother and your sister. You can only borrow money from one of them. Before giving you money, they each say they will make you play a game. Your sister says she wants you to flip a fair coin. She will give you $9 for heads and $21 for tails. Your mother says she wants you to roll a six-sided die. She will give you $5 times the number that appears on the die. Determine the expected value of each game and decide which offer you should take.

Answers

$30 for the flip a coin game.
$105 for the dice game.
- > heads = $9
-> tails = $21
^ $9+$21=$30

dice game-
6 sides of a dice, she doubles it by 5.
1*5 + 2*5 + 3*5 + 4*5 + 5*5 + 6*5
^ 5+10+15+20+25+30= 105.
-> $105 for dice game.

you can easily get $9/$21 from your sister, but it won’t be as much from the dice, but you have more risk going with the dice since there’s 6 sides. the highest to get from your mother is $30 and the highest from your sister is $21, but the dice is the better deal.

The maximum amount you can get from your mother is $30, while the most amount you can get from your sister is $21, but the dice is the better bargain.

How to find that a given condition can be modeled by binomial distribution?

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

 

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

The expected value of X is:

[tex]E(X) = np\\[/tex]

You need to borrow money for gas, so you ask your mother and your sister.

You can only borrow money from one of them.

Before giving you money, they each say they will make you play a game. Your sister says she wants you to flip a fair coin.

She will give you $9 for heads and $21 for tails.

Your mother says she wants you to roll a six-sided die.

She will give you $5 times the number that appears on the die.

The expected value for a coin will be

[tex]E(X) = 1 \times 0.5 = 0.5[/tex]

The expected value for a dice will be

[tex]E(X) = 1 \times \dfrac{1}{6} = 0.1667[/tex]

You can easily receive $9/$21 from your sister, but it won't be as much as the dice, and you'll take a bigger risk with the dice because it has six sides.

The maximum amount you can get from your mother is $30, while the most amount you can get from your sister is $21, but the dice is the better bargain.

Learn more about binomial distribution here:

https://brainly.com/question/13609688

#SPJ2

The retail price of a smartphone is $600. You purchase the phone by making 24 equal monthly payments. How much is the amount of each payment.

Answers

Answer:

$25

Step-by-step explanation:

Answer:

You will be making 25$ payments each month

Step-by-step explanation:

600/24 = 25

Find the rate of change.

Answers

Answer:

2

Step-by-step explanation:

Because it goes up 1 and a half and over 1 which equals 2?

-2^2= 4 or -4??

i will give brainly ​

Answers

Answer:

4

Step-by-step explanation:

I am assuming you mean (-2)^2 and not -(2)^2, correct.

If i m wrong in the assumption and its the latter one, then it is -4 since you are taking the - of 4

Answer:

-4

Step-by-step explanation:

[tex]-2^2=-4\ \text{because}\ -2^2=-(2\cdot2)=-4\\\\(-2)^2=4\ \text{because}\ (-2)^2=(-2)(-2)=4[/tex]

The parentheses are very important here.

The same in

[tex]\dfrac{2}{3}^2=\dfrac{4}{3}\\\\\left(\dfrac{2}{3}\right)^2=\dfrac{4}{9}[/tex]

6. If Stacey bought 48 ounces of grapes,
how many pounds did she buy? Shiw your work

A 2 pounds
© 4 pounds
B 3 pounds
D 6 pounds

Answers

Answer:

b

Step-by-step explanation:

can you please help me solve this 1/3(x+6)=1/2(x-3)

Answers

Answer:

The answer is X=21

Step-by-step explanation:

Solve for x  by simplifying both sides of the equation, then isolating the variable.

Simplify 1/3 and 1/2

It would look like [tex]\frac{(x+6)}{3} -\frac{(x-3)}{2}[/tex]

then[tex]\frac{21-x}{6}=0[/tex]

then mutiply 6 to each side and it will look like    21-x  = 0

Last, subtract 21 from each side and it will be

21=x

Triangle ABC has vertices (−,),(,−), (−,−). What are the coordinates of the vertices of △′′′ for each reflection?

Answers

do you have a picture or something?

Suppose that you are interested in estimating the average impact a job training program has on wages. After controlling for observed factors that influence wages, participation in the training program, you find that the coefficient for the training is 0.55 and the standard error is 1.06. Thus, we can infer that the training program has a positive and statistically significant impact on wages at a 95% confidence level.
a) true
b) false

Answers

Answer:

False

Step-by-step explanation:

From the question we are told that

The coefficient for the training is [tex]r = 0.55[/tex]

The standard error is [tex]SE = 1.06[/tex]

The confidence level is 95%

Generally the level of significant is mathematically represented as

[tex]\alpha =( 100 -95)\%[/tex]

=> [tex]\alpha = 0.05 [/tex]

Generally the critical value of [tex]\alpha = 0.05 [/tex] obtained from the normal distribution table is [tex]Z_{0.05} = 1.645[/tex]

Generally the test statistics is mathematically represented as

[tex]t = \frac{r }{SE}[/tex]

=> [tex]t = \frac{0.55}{1.06}[/tex]

=> [tex]t = 0.5189 [/tex]

Generally given that the [tex]t < Z_{\alpha }[/tex]

Hence  there is no sufficient evidence to conclude that the program has a positive and statistically significant impact on wages at a 95% confidence level.

So the answer is False

Solve the system of equations by the substitution method.

5x + 10y = 25
2x + 12y = 18

Answers

Answer

5x + 10y = 25    x=1  y=2

2x + 12y = 18    x=3  y=1

plz mark brainliest

also plz try to answer this question

Rafael writes an expression to represent “a number, n, decreased by thirty-one.” Then he evaluates that expression if n = 29. Which statements are true about the expression and its evaluation? Check all that apply.
The correct expression is 31 minus n.
This is a subtraction expression.
This is an addition expression.
To evaluate, substitute 29 for the variable in the expression.
To evaluate, substitute 31 for the variable in the equation.
To evaluate the expression, add 31 to 29.
The correct expression is n minus 31.
To evaluate the expression, subtract 31 from 29.


Please hurry I need this answer ASAP

Answers

Answer:

The correct alternatives

This is a subtraction expression

The correct expression is n minus 31

To evaluate the expression, subtract 31 from 29.

Step-by-step explanation:

Rafael writes an expression to represent “a number, n, decreased by thirty-one.”

First you gotta know what means "decreased by thirty-one". It means that

there exist two numbers where the difference between them is 31.

The number [tex]n[/tex] decreased by 31 can be writen as

[tex]n-31[/tex]

The expression is therefore

[tex]n-x=31 \implies \boxed{x=n-31}, n, m \in \mathbb{R}[/tex]

Rafael evaluates the expression [tex](n-31)[/tex] for [tex]n=29[/tex]

[tex]n-31 = 29-31 = -2[/tex]

Answer:

A. B. G. H

Step-by-step explanation:

Find the slope of a line graphed below

Answers

Answer:

Slope is 2/5x

Step-by-step explanation:

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?

Answers

Each person receives 1/36th of a case.

HELP!!! WILL MARK BRAINLIEST!
SHOW YOUR WORK OR I WILL NOT GIVE BRAINLIEST

Answers

Answer:

4 inches

Step-by-step explanation:

hi! so there are 64 cubes with 1 inch side lengths. if we are trying to fill a container which is the size of a cube, we must take the cube root of 64, which is 4. this is because 4*4*4 is 64, and we are using cubes to fill up a larger cube. this means that there are going to be 4 1-inch cubes on each side of the larger cube. when filling this up, the volume is 64 cubic inches, which makes sense because of the 64 smaller 1-inch cubes. im not 100% sure by what you mean by "edge length", but if it is the normal length of the cube, the answer is 4 inches because the cube root of 64 is 4. however, if you are talking about the diagonal from edge to edge, you have to split up a 4 by 4 square into two congruent triangles by putting a diagonal line down the middle, and use the pythagorean theorem to find the length of the diagonal.

4^2+4^2=c^2

16+16=sqrt 32

sqrt 32

if this is the case, sqrt 32 inches is the answer.

hope this helps!

✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽

[tex]\boxed{4}[/tex] 4 inches is the edge length of the container.

[tex]a = 1[/tex] inch

[tex]v = a^3 = (1inch)^3 = 1inchs^3[/tex]

➷ Length of the big cube = A

Volume of the big cube = V

[tex]V = A^3[/tex]

✽ he uses 64 cubes with side lengths of 1 inch to completely fill the container.

[tex]V = 64 \times v = 64 \times 1inches^3[/tex]

[tex]A^3 = 64 \times 1inches^3[/tex]

[tex]A = 4inch[/tex]

Hence, The edge length of the container is 4.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ May ♡

You move right 2 units and left 10 units. You end at (-5, -1). Where did you start?

Answers

Answer:

(-13,-1)

Step-by-step explanation:

Moving right means moving positively on the x-axis

Moving left means moving negatively on the x-axis

Follow the equation backwards using the x-coordinate:

Move left 10 units-- -5-10 = -15

Move right 2 units-- -15+2 = -13

Since the y-coordinate did not change, the point you started at is (-13,-1)

. Where does the line y = 3x + 5 cross the y-axis?

Answers

Answer: at 5

Step-by-step explanation: the 3 is the slope and the 5 is the y intercept. The y-intercept corresponds to the value of 5 when the x value is equal to 0

Based on what we know about the formula of a straight line, the line above would cross the y-axis at 5.

The formula for a straight line takes the form:

y = mx + c

m = Gradient

c = y-intercept

The line described takes the form of y = 3x + 5.

5 is therefore c in the formula of a straight line so we can infer that it is the point where the y-axis is crossed.

In conclusion, the y-axis is crossed at 5.

Find out more at https://brainly.com/question/8499326.

if a man walks 16 km in 5 hours, how long would he take to walk 11.2km

Answers

Answer:

Time taken to walk 16 km =5hrs

Time taken to walk 1km =5/16 hr

Time taken to walk 11.2km =(5/16)×(112/10) = 3.5hrs

HOPE IT WILL HELP U..

PLZ MARK IT AS BRAINLIEST ANSWER..

Other Questions
is 5.8 greater then fifty eight hundreths Calculate the slope of a line that passes through the points (-4,7) and (-1,3) online classes work Which economic action would be most influenced by a change to thediscount rate?O A. An individual is deciding whether to spend money or invest it.O B. A business is deciding whether to hire additional employees.C. A bank is deciding whether to borrow money from thegovernmentO D. An investor is deciding whether to purchase treasury securities. Which of the following is a tool that is best used to measure the oxygen in water? whats 2/3 times 1/8???? PLEEAASSSE HELP lord of the flies bookhow have the boys found a rhythmand pattern of life on the island What would make the following equation true? 5m+(2m+8)=__+8 Which of the following is an example of a complex machine?1. Pulley 2. Wedge3. Scissors 4. Incline GET BRAINLIEST Explain how the interactions between the Spanish and the Native Americans differed from the French and the Native Americans. How many ounces of a 15% alcohol solution must mixed with 2 ounces a 20% alcohol solution to make a 17% alcohol solution Why is desertification a problem?A) New farmland is attained.b) More people will immigrate to deserted areas.c) Sand helps machinery run more efficiently.d) Breathing air contaminated with sand particles can be hazardous. what is 385/6 as a proper fraction ANSWER FAST PLEASEMarias class has learned how to drop an egg without breaking it. After 0.2 s, the kinetic energy of the falling egg is 0.5 J. If its mechanical energy is 2.3 J, what is its potential energy? A. 1.2 J B. 1.8 J C. 2.8 J D. 4.6 J Use the below information to answer the following question.Income Statement For the Year Net sales $631,000COGS 442,220Depreciation 28,100EBIT $160,700Interest 14,900Taxable income $145,800Taxes 49,600Net income 96,200Balance Sheet Beginning of Year End of YearCash $ 38,200 $43,700Accounts receivable91,400 86,150Inventory 203,900 214,600Net fixed assets 516,100 537,950Total assets 849,600 $882,400Accounts payable $136,100 104,300Long-term debt 329,500 298,200Common stock ($1 par value)75,000 82,000Retained earnings 309,000 397,900Total Liab. & Equity $849,600 882,400What is the quick ratio at the end of the year?How many days of sales are in receivables at year-end?What is the price-sales ratio if the market price is $43.20 per share? (Use end-of-year values)?What is debt-equity ratio at year-end?What is the return on equity using year-end values?What is the amount of the dividends paid during the year?What is the amount of the cash flow from investment activity for the year?What is the net working capital to total assets ratio at year-end?How many dollars of sales are being generated from every dollar of net fixed assets? (Use year-end values)?What is the times interest earned ratio for the year?What is the net cash flow to stockholders for the year? Jared wants to make a scale drawing of his bedroom. His bedroom is a rectangle with a length of 600 cm and width of 400 cm. He decided on a scale of 1 to 50. 1.Jared's bedroom door is 60 cm wide. How wide should the door be on the scale drawing? Explain how you know. 2.Jared's bed measures 4 cm by 5 cm on the scale drawing. What are the actual measurements of his bed? Which civilization depended on the Nile River? In 1 paragraph with 5 sentences using modal verbs of obligation say something about yourself that most people do not know about you Using complete sentences, explain the differences between a command economy and a market economy. What type of economic system is created when these two systems are combined? What are the benefits of combining these two systems? If a person is blind can they see their dreams?