A certain test preparation course is designed to help students improve their scores on the USMLE 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 3 students' scores on the exam after completing the course:
15,20,18
Using these data, construct a 90% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal.

Answers

Answer 1

Answer:

The 90% confidence interval for the average net change in a student's score after completing the course is (13.42, 21.92).

Step-by-step explanation:

Average change in the sample:

[tex]M_{s} = \frac{15+20+18}{3} = 17.67[/tex]

Standard deviation of the sample:

[tex]s = \sqrt{\frac{(15-17.67)^2+(20-17.67)^2+(18-17.67)^2}{2}} = 2.52[/tex]

We have the standard deviation for the sample, so the t distribution is used.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 3 - 1 = 2

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 2 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 2.92

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.92\frac{2.52}{\sqrt{3}} = 4.25[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 17.67 - 4.25 = 13.42

The upper end of the interval is the sample mean added to M. So it is 17.67 + 4.25 = 21.92

The 90% confidence interval for the average net change in a student's score after completing the course is (13.42, 21.92).


Related Questions

Can someone please answer this

Answers

Answer:

sorry bro i need points i got 10 minutes left on dis quiz but i recommond course hero bro have a good day

Step-by-step explanation:

A right triangle has legs that are 21 in. and 25 in. long. What is the area of the triangle?

Answers

Answer:

The area of the right triangle is 262.5

Step-by-step explanation:


4, 2, 1, 2, ...
O Arithmetic
O Geometric
O Neither

Answers

Answer:

Step-by-step explanation:

Neither...there is no common difference nor a cmon ratio do neither

Please Help due in 1 min

No Links Allowed

Answers

She wrote 12 digits down

Pls help put in order 1,2,3,4,5,6,7,8,9,10 I will give brainlyest

Answers

Answer:

A

Step-by-step explanation:

Area of parallelogram=b×h

24=b×4

b=6inches

A lawn is shaped like a parallelogram with a base of 30 feet and a height of 12 feet. Covering the lawn with grass will cost $2.60 per square foot. How much money will it cost to cover the lawn with grass?

Answers

Answer:

$138.46

Step-by-step explanation:

30×12=360

360÷2.60=138.46

There are 15 boys in the class of 40 learners. What is the ratio of boys to girls in the classroom????​

Answers

15 : 25
since there’s 40 learners and we alrdy know theres 15 boys, there would be 25 girls
15+25=40

Answer:

So I guess in this case we assume there are no nonbinary or genderqueer kids in the class

boys would be 15

girls would be 25

the simplified ratio would be 3/5

Pamela is 9 years younger than Jiri. The sum of their ages is 53. What is Jiri's age?

Answers

Answer: 44

Step-by-step explanation:53-9

Answer:

31

Step-by-step explanation:

Jiri's age = J

J + (J-9) = 53

2J - 9 = 53

2J = 62

J = 31

helppppppp will give BRAINLIEST!!!

Answers

Answer:

c

Step-by-step explanation:

range is the largest -the smallest

median is the line between 9 and 10

first quartile is on 6

I’m working on these as well! Hope this helps! Happy Friday! <3

Answer:

Should be the 3rd quartile.

Step-by-step

Because the first quartile ends at 10.5, because of the line, I believe, and 18 is past 11. So, it should be the 3rd quartile.

f(x)=3(x-2)^2 +5 Find Vertex of Parabola given.

Answers

The answers (2,5) because

Each letter of the word "rainbow" has been written on a separate slip of paper and put into a box. Find the probability of selecting a slip of paper with a vowel on it, replacing it, then selecting the letter w?

Answers

Hshshshajhehwjqjwjehe

Need the answer fast question is on the problem will mark brainliest
NO LINKS PLEASE

Answers

It’s the last one & the second one

Micah and his brother found some cash at
a bus stop. They split the money evenly, each
getting $ 16. How much money did they find?
m

Answers

Answer:

32

Step-by-step explanation:

Add 16 + 16

Janice Davidson, single mother of two in her late 20s, manages an in-store boutique at Lacy's Department Store. She earns $60,000 a year before taxes (her gross income) and pays 20% in taxes. Janice's fixed monthly living expenses are $2,400 with another $1,600 in variable/discretionary living expenses. Janice has $13,000 in emergency savings. Janice has an employer-paid disability benefit through the department store where she works. Lacy's provides its employees a long-term disability insurance benefit that pays 60% of an employee's gross salary up to a maximum of $5,000 a month. Would a policy that pays 40% of her gross salary provide enough income to cover Janice's fixed monthly expenses if she became disabled and couldn't work? If yes, how much could she set aside each month after fixed expenses are paid? If no, how much of a shortfall would she have and how could she cover it?​

Answers

Answer:

No, her savings

Step-by-step explanation:

Her monthly income is 5000 (60000/12). She pays $1000 per month (5000x.2) in taxes and has another 2400 in fixed expenses. So her monthly fixed expenses (don’t include 1600 variable) are 3400 (1000+2400). A disability benefit of 40% would pay $2000 per month (5000 x .4). S0 she would be short 1400 per month (2000-3400). She would have to use her $13,000 in savings to make up the difference.

hopefully I interpreted the questions correctly!

a) 40% policy will not cover Janice's fixed monthly expenses.

b) Janice's shortfall is $400.

c) For the shortfall, Janice may resort to emergency funds.

What is a fixed monthly living expense?

A fixed monthly living expense is an expense that does not change from period to period.

Examples of fixed monthly living expenses include:

Mortgage paymentsUtility billsLoan payments.

Data and Calculations:

Annual gross income = $60,000

Annual tax liability = 20% or $12,000 ($60,000 x 20%)

Fixed monthly living expenses = $2,400

Annual fixed living expenses = $28,800 ($2,400 x 12)

Variable discretionary living expenses = $19,200 ($1,600 x 12)

Emergency savings = $13,000

A policy that pays 40% as the disability allowance of gross salary will pay $2,000 ($5,000 x 40%).

Learn more about fixed and variable monthly expenses at https://brainly.com/question/8225307

Find the surface area of the cylinder. ROUND YOUR ANSWER TO THE NEAREST TENTH. PLEASE I NEED HELP also if anyone can I need the steps:(

Answers

Answer:

Area = 87.96

Step-by-step explanation:

87.96 square mm, using 3.14 as pi

For surface area of a cylinder:
A = 2(pi)(radius)(height) + 2(pi)(radius squared)


For the first half of that equation:
2(pi)(radius)(height)
2(3.14)(2)(5)
= 62.8

Now the second half of that equation, the area of the circle ends:
2(pi)(radius squared)
= 2(3.14)(2)(2)
= 25.12

Add them up:
62.8 + 25.12 = 87.92


Which would be the best trend line for the given data set?
A) y=x+4
B) y=-x+4
C) y=-1/4x+2
D) 1/4x+2

Answers

I believe the correct answer would be a if it’s not remove my answer
I think it’s c. Since slope is decreasing

Can you help I’m in middle school and cant get this!

Answers

11) h=9

12)h=3.75

you have to write the equation for area and then substitute the area and side length. Then you solve the equation using algebra

Need help please I will mark brainlist

Answers

Answer: C = 7.62

You can verify this answer using this calculator.

7^2 + 3^2 = 58

√58 = 7.62



Determine the coordinates of the y-intercept of the function shown in the graph.
A)
(0, -1)
B)
(2,0)
9
(0,2)
D)
(-1,0)
Includes the photo for the question

Answers

The answer for this question will be A !! I might be wrong and I’m sorry but I’m saying A

Unit 11: Volume & Surface Area
Homework 1: Area of Plane Figures
Directions: Find the area of each figure. Round to the nearest hundredth where necessary.
2. and 11. all I need
will give brainliest if u get it right I promise​

Answers

Answer:

I got 96.71ft 2 by doing it

It can be deduced that the area of the circle will be 26.42 feet.

How to calculate an area of a circle?

It should be noted that the area of a circle is calculated by the formula:

= πr²

In this case, the radius is given as 2.9 feet. Therefore, the area of the circle will be:

= πr²

= 3.142 × 2.9²

= 26.42 feet

In conclusion, the area is 26.42 feet.

Learn more about circles on:

https://brainly.com/question/24375372

what is the definition of corresponding sides​

Answers

Answer:

Corresponding sides touch the same two angle pairs.

Step-by-step explanation:

Answer:

In a pair of similar triangles, the corresponding sides are proportional. Corresponding sides touch the same two angle pairs.

When the sides are corresponding it means to go from one triangle to another you can multiply each side by the same number.


helppppppppppppppppppppppppp

Answers

Your answer is 40mm

3+12+12+13
=40

Answer:

The perimeter of this figure is 40 milimeters.

Step-by-step explanation:

Add all sides' lengths:

3+ 12 + 12+ 13 = 40

Dan bought 5 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 46 cards left. How many cards did Dan start with ? show equation

Answers

Answer:

79

Step-by-step explanation:

Let's say that N is the number of cards.

So the first step is N+5, because dan bought 5 new cards.

Next his dog ate half the collection, so the 2nd piece of the problem is [tex]\frac{N+5}{2}[/tex]

The last step is to now make it an equation. Because there are now 46 cards left, [tex]\frac{N+5}{2}[/tex]=42.

Now solve for N which is N+5=84=> N=79

brainliest would be appreciated!

46x 2+5 fhdjdhvsvdbdbd

5+6(2x-1)
i need this like now pls

Answers

Answer:

Step-by-step explanation:

5 + 6 = 11 x 2 - 1 = 21 therefore its 21

please answer this thanks

Answers

Answer:

try using an online calculator, it might help

What is the slope of the line?

Answers

Answer:

m= 8/5

Step-by-step explanation:

Points on the graph: ( -4, -4) and (1, 4)

Slope:

m=(y2-y1)/(x2-x1)

m=(4+4)/(1+4)

m= 8/5

Answer:

slope is 5/4

Step-by-step explanation:

to find slope, use the formula rise/run

Simplify the following polynomial expression.
(534 – 933 + 73 – 1) + (-804 + 4.12 – 3x + 2) - (-413 + 51 – 1)(21 – 7)
OA. 504 – 3723 - 612 + 411 - 8
OB. 524 – 3723 - 6x2 + 411 - 6
OC. 11,4 – 21.13 + 14x2 + 331 - 6
OD. 11,4 – 2113 + 14.2 + 33.3 - 8

Answers

Answer:

This equals:

3949.12

Letter C is the closest since all the rest of the letters eqaul negative sums and C is the only one that's positive.

Step-by-step explanation:

I need help please
Please hurry

Answers

Answer:

Its 32

Step-by-step explanation:

A veterinarian in Camperville zoo needs to weigh the big bear. Which would be the most appropriate unit of measure?
A. meters
B. kilograms
C. liters
D. cups

Answers

Answer:

Kilograms

Step-by-step

A meter is distance

A kilogram is weight

A liter is related to ounces

A cup is how much of something

NO LINKS!!! Plz help this is due tmr

Answers

Answer:

Step-by-step explanation:

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