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

help me out
14 < n - 22​

Answers

Answer:

14+22=36

36 is less than n

Step-by-step explanation:

The answer is you n = 8

On a map, the scale is 1 inch to 400 miles. If the
trip from Corpus Christi to El Paso is 600 miles,
how far apart will those cities appear on the map
(in inches)?

Answers

1 and 1/2 inches apart. Since 1 inch is 400 miles half of an inch would be 200 miles!

Answer:

B. 1.5 inches

Step-by-step explanation:

600/400=3/2=1.5

Can I have some help with this? Construct a linear function that has a slope of -3 and passes through the point (-2,3).

Answers

Answer:

-3x-3

Step-by-step explanation:

We want our equation to look like this

y=mx+b

we know that m= -3 so we just need to find b

We can start by plugging in the ordered coordinates into our equation

3=(-3)(-2)+b

Solve for b

3=6+b

b= -3

Which means our final equation is

y= -3x-3

ASAP — PLS HELP OUT
WILL MARK BRAINLIEST AND GIVE A LOT OF POINTS

Answers

The correct answers are, length is 21 inches, and the width is 10 inches.


L=length; W=width.

L-2W=1
L=2W+1

P=2(L+W)
62in=2((2W+1)+W)
31in=3W+1
30in=3W
10in=W
The width is 10 inches.

L=2W+1=2(10in)+1=20in+1in=21in
The length is 21 inches.

Proof ;)
P=2(L+W)
62in=2(21in+10in)
62in=2(31in)
62in=62in

Please, please, please, please help

Answers

Answer:

27

Step-by-step explanation:

Wilbert needs a student loan to finish school. He needs $4200 and has two options.
Option A: 4 years at 4.5% interest with monthly payments of $95.77
Option B: 3 years at 4.7% interest with monthly payments of $125.31
Which loan should Wilbert choose and how much will Wilbert save with that loan?
First, calculate the total payback on each loan.

Answers

Answer:

A) 4596.96

B) 4511.16

Step-by-step explanation:

Wilbert should choose option B. The savings will be $85.8 for the loan.

What is the loan amount?

The sum you borrow to purchase the home is known as the amount borrowed. Because most lenders don't always offer 100% financing, it usually differs from the purchase price.

It's also crucial to take the loan-to-value ratio into account. Lenders frequently discuss this value, which compared the loan amount with the purchase price.

Checking for 4 years at 4.5% interest with monthly payments of $95.77

4596.96-4200=396.96

Checking for 3 years at 4.7% interest with monthly payments of $125.31

396.96-311.16=85.8

Therefore, Wilbert should choose option B. The savings will be $85.8 for the loan.

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Please I need help with this question

Answers

Answer:

10.44 feet

Step-by-step explanation:

You need to use the Pythagorean Theorem twice.  

First we have to find the diagonal for the base.

6²+8²=x²

36+64=x²

100=x²

√100=x

x=10

Now we can find d.

10²+3²=x²

100+9=x²

109=x²

√109=x

x=10.44 feet


5th grade math. Correct answer will be marked brainliest.

Answers

Answer:

part a is 3500

Step-by-step explanation:

witch number is composite 5,2,11,9

Answers

Answer:

9 is the composite number.

Step-by-step explanation:

A composite number is a positive integer that can be formed by multiplying two smaller positive integers.

I just need a little help ​

Answers

The answer is B your welcome

Which is a possible solution for -4 LaTeX: >> X

Answers

[tex] \text { > }[/tex]

\tex {>} is to be written

10h + 3y + 6 -4h -y -2 simplified

Answers

Answer:

6 h + 2 y + 4 is your answer

Step-by-step explanation:

Hope this helps! :)

Answer:

6h+2y+4

Step-by-step explanation:

so all you do is just subtract common factors so for 10h you just do 10h -4h and get 6h and do that for the rest

A collector has 2792 coins
altogether. Half of the coins
are on display. The collector
buys more coins at an auction
so that the coins on display
are now 40% of the collection.
How many coins are bought at
the auction?

Answers

Answer:

3490 coins

Step-by-step explanation:

Given data

Total coins= 2792 coins

Half of the coins are on display

that is 50% are on display

=2792/2

=1396

let the coins bought be x

40% of x= 1396

40/100*x= 1396

0.4x= 1396

x=  1396/0.4

x=3490

Hence 3490 coins were bought

John paints blue spots on his car. He usually paints these blue spots in pairs. If the total count of blue spots is 72, how many pairs of blue spots are there?

Answers

Answer: 10 quarts of blue paint for every 2 quarts of green paint

Step-by-step explanation: The graph represents the relationship between the number of quarts of blue paint in the mix, xx and the number of quarts of yellow paint, yy.

The point (2 , 10) on the graph indicates 2 quarts of blue paint for every 10 quarts of yellow paint .

five sixths yards = inches

Answers

Answer:

Five sixths of a yard is 30 inches

Step-by-step explanation:

It takes Josephine 60 minutes to walk 7 1/2 blocks.At This Rate How Many Blocks Can He Walk In 4 Hours.

Answers

Answer:

30 blocks

Step-by-step explanation:

60 minutes = 1 hour

For one hour, she will walk 7.5 blocks.

The rate is 7.5blocks per hour.

Multiply this by 4 hours, and you will get 30 blocks.

(7.5)4 = 30

Find the value of x... Please look at the attachment below

Answers

x=75 since it is opposite to the 105 angle.

you spin the spinner below once: what is the P(getting a number less than 5)?

Answers

Answer:

3/4

Step-by-step explanation:

Answer: it would be 3/4 hope this helps you!!!

Step-by-step explanation:

The perimeter of a triangle whose sides are 4z units, 10 units, and 15 units

Answers

Answer:

29

Step-by-step explanation:

Finding the perimeter consists of adding all sides together. thus 4+10+15=29

The perimeter of a triangle whose sides are 4z units, 10 units, and 15 units,  29 units

What is the perimeter?

Perimeter is a mathematical term, which means total outer boundary of a figure, we define it only for two dimensional figures.

Perimeter = Sum of length of the all the sides

Given that,

The length of sides,

4 units

10 units

15 units

Perimeter = ?

Perimeter  = Total sum of lengths of sides

                 =   4 + 10 + 15

                 =    29 unit

Hence, the perimeter is 29 unit

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Carl has $195.000. Carl wants to buy as many calculators as possible. Each calculator costs $6.50

Answers

he can buy 30 calculators
Carl can buy 30 calculators

What is the product?

0.4 x 0.6

0.024
0.24
2.4
24.0

Answers

The answer is 0.24 for the question

A hotel has two different ice machines that fill buckets of ice independently of each other. Let A represent the amount of ice in a bucket filled by machine A, and let B represent the amount of ice in a bucket filled by machine B. Which of the following choices explains the meaning of independent random variables in context?

Answers

C.) The independence of the two ice machines means that knowing how much one machine fills does not help us predict how much the other fills.

The perimeter of a rectangular field is 580 yards. The length is 30 yards more than the width. Find the length and width of the field (in yards).

Answers

2 L + 2 W = 580

W = L - 30

2( L - 30) + 2 L =580

2L - 60 + 2 L =580

4 L = 640

L = 160

W = 160-30= 130

160 × 2 + 130 × 2 = 580

Saved
Autocracies have rules along with a court system and free press

Question 5 options:
True
False

Answers

Answer:

True

Step-by-step explanation:

The cookie recipe called for oatmeal and raisins in the ratio of 3 to 1. If 4 cups of oatmeal were called for, how many cups of raisins were needed?

Answers

Answer:

1.33 or about 2

Step-by-step explanation:

Answer:

12 cups of raisins

Step-by-step explanation:

If our ratio is 3 to 1 or for every one cup of oatmeal we have 3 cups of raisins, we want our new ratio to be equal to that ratio!

Our new ratio is ? to 4, we know that for every one cup of oatmeal we have 3 cups of raisins then...

We have to multiple 3×4 to find our ?

3×4 = 12

So, we know that for every 4 cups of oatmeal we will have 3 cups of raisins!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

4m = -32 solve for M
will give brainliest.

Answers

Answer:

m = -8

Step-by-step explanation:

have a nice day! :)

Answer:

From this quation:

4m = -32

We need to get m, so we can divide both sides by 4:

4m / 4 = -32 /4

m =  -8

You can try to replace it to see if it's correct:

4 * 8 = -32

Jason wants to earn money by raking leaves. He buys a rake that costs $30.00. He plans to charge $8.00 for each lawn that he rakes Calculate the amount of profit Jason
will make if he rakes 15 lawns

Answers

Answer:

He will make 90 dollars in profit.

Step-by-step explanation:

15 x 8 to find how much he makes. He makes 120 dollars. But we have to count the 30 dollars less he spent by subtracting 120 - 30. You get 90 dollars.

Hope it helps!

Answer:

120 dollars

Step-by-step explanation:

30 dollars times 15 lawns equal 120$

Your car can drive 300 miles on a tank of 11 gallons. Your car gets
to the hundredths place.
mpg. Round

Answers

Answer: 0.04

Step-by-step explanation:

11 gallons divided by 300 miles

11 /. 300 = 0.36666667

= 0.04

I need help with this is this circumference or areas will mark you brainly if right

Answers

The question is cut off, but here are the formulas for area and circumference:

A = pi * r^2
C = 2 * pi * r

Jeremiah will give all of his sports cards to a number of friends what is the greatest number of friends he can give his cards to so that each friend will receive an equal number of baseball cards and football cards? 4 8 12 or 16 32 baseball 24 football​

Answers

Answer:

6 is the greatest answer

Step-by-step explanation:

24÷4=6

The greatest number of friends he can give his cards to so that each friend will receive an equal number of baseball cards and football cards is 6

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Jeremiah will give all of his sports cards to a number of friends. the greater number will be calculated as,

Number = 24÷4=6

Therefore, the value of the greatest number will be 6.

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