Candice is preparing for her final exam in Statistics. She knows she needs an 62 out of 100 to earn an A overall in the course. Her instructor provided the following information to the students. On the final, 200 students have taken it with a mean score of 54 and a standard deviation of 6. Assume the distribution of scores is bell-shaped. Calculate to see if a score of 62 is within one standard deviation of the mean.

Answers

Answer 1

Answer:

A score of 62 is not within one standard deviation of the mean.

Step-by-step explanation:

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.

Mean score of 54 and a standard deviation of 6.

This means that [tex]\mu = 54, \sigma = 6[/tex]

Calculate to see if a score of 62 is within one standard deviation of the mean.

Is Z between -1 and 1 when X = 62?

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{62 - 54}{6}[/tex]

[tex]Z = 1.33[/tex]

So a score of 62 is not within one standard deviation of the mean.


Related Questions

1/9 ÷5/4 plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

0.8888888888

Step-by-step explanation:

that decimal just convert it to a fractoin

After dinner, Mirna had a second serving of her chocolate bar, eating 3
more pieces. Which equation shows how much she has left of the
whole candy bar after this second serving ?

A.) 5/8 - 3/8 = 2/8

B.) 8/8 - 3/8 = 5/8

C.) 8/8 - 5/8 = 3/8

D.) 3/8 - 2/8 = 1/8

Answers

The answer is c because 8 - 5 is 3.

Explain why the equations X - 13 = 4 and 13 - X = 4 do NOT have the same solution.

Answers

Answer:

they have different answers

Step-by-step explanation:

X - 13 = 4 and 13 - X = 4

for x- 13 = 4

x=4+13=17

x=17

for 13 - x = 4

13-4-x=0

9-x=0

9=x

x=9

A car rental agency advertised renting. a car for $24.95 per day and $0.27 per mile. If Brad rents this car for 4 days, how many whole miles can he drive on a $200 budget?

Answers

Answer:

Around 370 when rounded

Step-by-step explanation:

ok so we know that for one day rental cost 24.95 and 0.27 per mile.

Brad has a budget of 200 and wants to rent a car for 4 days and wants to know how many miles he can drive with his budget.

First off you have to mulitply 24.95(which is how much the rental cost per day) by 4. 24.95 x 4=99.8 so out of his 200 dollars he now has 100 budget for miles.

Next we are going to divide the 100 dollars left out of the budget by the cost per mile which is 0.27. 100/0.27=370 when rounded.

Answer:

Step-by-step explanation:

Write 44% as a fraction in simplist form

Answers

Answer:

11/25

Step-by-step explanation:

Answer:

11/25

Step-by-step explanation:

44/100  →   22/50→   11/25

what is the correct equation for the graph?​

Answers

it’s A

STEP BY STEP:
It’s A hope this helps

What is 6 minus 3 and 2/5

Answers

Answer:

2.6

I am pretty sure this is right.

PLEASE HELP! GIVING PONTS!

Answers

the least common denominator is 4 I believe
I think the answer is 4

the sum of two numbers is 72 and their difference is 26. find two numbers?

Answers

9514 1404 393

Answer:

  23, 49

Step-by-step explanation:

Let s represent the smaller of the two numbers. Then the larger is s+26, and the sum is ...

  s + (s+26) = 72

  2s = 72 -26

  s = (72 -26)/2 = 23

Then the larger number is

  s +26 = 49

The two numbers are 23 and 49.

_____

The reason we wrote the solution this way is to show you that the smaller number is half the difference between the given sum (72) and difference (26). This is the generic solution to a "sum and difference" problem. The smaller number is always half the difference of the give sum and difference. (Similarly, the larger is always half the sum of the given sum and difference.)

That is, the two numbers are always half the sum ± half the difference:

  72/2 ± 26/2 = {36+13, 36-13} = {49, 23}

Explain your answer

Thank you so much !

Will give brainlst

Answers

Answer: A

Step-by-step explanation: Granite is nearly always massive , hard, and tough.

Which table represent a linear function. Picture attached and I will mark brainly

Answers

Answer:

Bottom right

Step-by-step explanation:

A linear function is a function that if ploted would be represented by a straight line. The only function out of the following 4 that follows this statement is the bottom right option.

Why do some people sleep with hair rollers

Answers

Answer:

to have their hair ready and curled the next day. and to not have it heated or chemical damaged bc it ruins ur hair :)

01 PARTA Write an equation for the line represented by the data in the table. Х y -3 11 0 5 2 1 1 5 -5 7 -9​

Answers

Answer: I don't know what it means by "equation" but a coordnite plane

its -3,11 0,5 2,1 5,-5 7,-9

Step-by-step explanation:

Morgan’s books sold 660 bookmarks last year, in comparison to 528 bookmarks this year. What is the percent of decrease in the number of bookmarks sold annually

Answers

Answer:

A 20% decrease I believe

Step-by-step explanation:

So, you subtract 660-528 which is 132. You then divide that by 660 and you get 0.2 or 20%

I just learnt this in math today so I hope it helps you and I hope it's correct :>

Person A buys 12 cupcakes and 3 packs of chips for $16.50. Person B buys 6 cupcakes and 5 packs of chips for $13.50. Find the cost of each item.

Answers

Answer:

A cupcake costs $1 and a pack of chip costs $1.50

please help.................

Answers

Answer:

Is that thick line an equal or a minis sign? I cant see it.

How have you seen racism, protest, conflict, dehumanization play out in our current world?

paragraph plz

Answers

Answer:

i have seen a lot of racist people. let me tell you something that happened the other day when i was on here i found this kid posting racist things and calling blacks ugly. and he then started being mean to my friends and every year we celebrate black history month for rights rights and this is a good thing to do cause we all matter.#black lives matter

Step-by-step explanation:

ayuda la otra es otra y después de la y​

Answers

Answer:

es igual a 30

Step-by-step explanation:

x=10 y Y=5

por tanto sería

10+10+5+5=30

please help!!!!!!

answer with numbers next to it so Ik which answer it goes to

Answers

2. Distributive property (multiplying the -2 to the items in parentheses)
3. Subtraction property (subtracting 8 from 3)
4. Addition property (adding 5 to both sides)
5. -4x = 16 (subtracting 6x from both sides)
6. x = -4 (dividing both sides by -4)

The sum of the digits in a two-digit number is 16. The digit in the tens place is 2 more than the digit in the
ones place. The system of linear equations shown below represents this situation, where x is the digit in
the tens place and y is the digit in the ones place. Solve the system to find the two-digit number.
(x + y = 16
Ix-y=2
The two digit number is

Answers

Answer:

kapag napag aralan mo yan beh malalaman mo yung sagot kapit lang tiwala ka lang pag aralan mo tignan mo malalaman mo yung sagot jan wag kang magagalit dahil totoo yung sinbi ko cge keep safe and god bless..

If C = x2 + 7 and D = 3x2 - 4x + 3, find an expression that equals 3C + 3D in standard form.​

Answers

Answer:

The new expression is:  12 x^2 - 12 x+ 30

Step-by-step explanation:

if C = x^2 + 7

and

D = 3 x^2 - 4 x + 3

Then, 3 C + 3 D can be obtained via:

3 ( x^2 + 7 ) + 3 ( 3 x^2 - 4 x + 3 )  = 3 x^2 + 21 + 9 x^2 - 12 x + 9 =

= 12 x^2 - 12 x+ 30

All 30 pupils in a class took part in a sponsored spell to raise money for charity. The pupils were expected to get an average of 14 spellings cprescr each. The average amount of sponsorship was 20 pounds for each correct spelling. How much money would the class expect to raise for charity altogether? Give answer in pounds

Answers

Answer: £84

Step-by-step explanation:

The number of pupils in the class is 30, and the average number of correct spellings for each pupil is 14.

The total expected correct spellings is 30 x 14 = 420 spellings.

The average sponsorship for each correct spelling is 20p which = £0.20.

Therefore, the number of pounds the class is expected to raise for charity is 420 x 0.20 = £84.

Number of pounds the class is expected to raise for charity is 8400 pounds.

What is multiplication?

Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.

Number of pupils in the class = 30

Average number of correct spellings for each pupil = 14.

The total expected correct spellings is 30 x 14 = 420 spellings.

The average sponsorship for each correct spelling is 20 pounds

The number of pounds the class is expected to raise for charity is 420 x 20 = 8400 pounds

Thus, number of pounds the class is expected to raise for charity is 8400 pounds.

Find out more information about multiplication here

https://brainly.com/question/14059007

#SPJ3

the width of a rectangle is 1/4 it’s length. the perimeter of the rectangle is 600ft. what is the length, in feet, of the rectangle?

Answers

Answer:

let length be l and breadth 1/4×l

perimeter of the rectangle =600ft

2(l+1/4×l)=600ft

(4l+l)/4=600/2

5l=300×4

l=1200/5=240ft

Step-by-step explanation:

240ft is the length of a rectangular.

4 A numerical expression is shown below. Evaluate the expression.​

help please explain too

Answers

Answer:

H

Step-by-step explanation:

Dufrane buys a new pair of shoes that costs him $186 where the sales tax rate is 7.3%.
What is the total amount he paid after taxes? Round to two decimal places.

Answers

Answer:

$199.58

Step-by-step explanation:

$186 x 0.0730 = 13.578

13.578 + 186 = $199.57

Can someone HELP ME please!!?

Answers

Answer:

Option 1

Step-by-step explanation:


The manager of a supermarket records the waiting times of 100 customers.
He wishes to calculate an estimate for the mean waiting time.
He draws this table.
Waiting Time
Number of
Midpoint (x)
fx
(minutes)
customers (0)
0-
0.5
5
2.5
1 -
1.5
28
42
2 -
2.5
32
80
3.5
26
91
3-
4-5
4.5
9
40.5
100
256
a) Complete the table.
b) Calculate an estimate for the mean. (I JUST NEED HELP ON B)

Answers

Answer:

2.56

Step-by-step explanation:

you add all the columns up to get an answer of 256 and divide it by 100=2.56

Answer:

2.4

Step-by-step explanation:

The sale price of every item in a store is 85% of its usual price the usual price of backpack is $18 what is its sale price

Answers

Answer: the sale price is $2.70

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 18 × 85/100

Discount = 18 x 0.85

You save = $15.30

Final Price = Original Price - Discount

Final Price = 18 - 15.3

Final Price = $2.70

please help me asap

Answers

Answer:

2.yes 3.no

Step-by-step explanation:

Brayden was out at a restaurant for dinner when the bill came. His dinner came to $22. After adding in a tip, before tax, he paid $28.60. Find the percent tip.​

Answers

Answer:

Step-by-step explanation:

Your answer

Price = 22$

TIP IN PRICE = 28.6$

Tip in discount = 30%

Mark it as Brainlist answer. Follow me.

Answer

Step-by-step explanation:

Other Questions
Why did Eleanor Roosevelt most likely keep up her work after her husband died? A. She recognized that she could help improve the world.B. Her husband had made her promise to carry on his work.C. She was bored and had nothing else to do.D. She caved in to the pressure from Presidents Truman and Kennedy. Plz helppppp=========== Factor 8a + 16c using GCF Hamdan scored 8 out of 10 on his history quiz. Which is his score as a fraction in simplest form?2 over 5 4 over 5 6 over 10 Given the linear equation, y = 7x + 5:A} Write an equation of a line parallel to this line. PLEASE HELPA company makes steel rods shaped like cylinders. Each rod has a diameter of 8 centimeters and a height of 20 centimeters. If the company used 28,134.4 cm3 of steel, how many rods did it make? Russian revolution In a Communist country the economy is owned by: A-The government B-The people C-The military D-The Czar is high seismic activity belong in the divergent, convergent, or in both? 4y+6 for y-12Evaluate the expression. Write an equation of the line (0,2) and (3,3) in slope intercept form If 2x+3y=6 and -5x+2y=4 then what is x and y?? Who ever answer first get brainliest 2 people who answer get pointsDont forget your are beautiful have a nice day/night Please help now I need it. You need to develop a demonstration to show evidence of how cellular respiration and photosynthesis depend on each other. Your presentation will show how cellular respiration is the process by which all cells transform food into energy, whereas photosynthesis is the process by which plants obtain food. Your experimental design should show evidence of how cellular respiration and photosynthesis depend on each other. Describe what Zebulon Pike reported on the Santa Rita mines.I only have 12 minutes!! please answer ill give you brainliest!! Which five amendments do you consider to be of greatest importance? Write a reason for each one. please please helpWILL MARK BRAINLIEST10 Points 7. What strategy greatly depended on using supplies from Europe gained from the sale of cotton?King Cotton DiplomacyKing Tobacco DiplomacyKing Rice DiplomacyKing Rebel Diplomacy What makes the rate of condensation quicker?High humidity b) Low humidity Stacey has 4 sheets of paper make cards. Each card requires 1/3 sheet of paper. How many cards can Stacey make? What is the main idea of the poem August 1619 by Clint Smith?