1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alecsey [184]
3 years ago
11

You recently took a statistics exam in a large class. The instructor tells the class that the scores were Normally distributed,

with a mean of 72 (out of 100) and a standard deviation of 12. Your score was 96. You would like to know what proportion of students did better than you did. Unfortunately, your calculator batteries are dead and you must now rely on Normal tables. You need to find which of the following?
a. the area to the left of 2
b. the area to the right of 2
c. the area to the right of 96
d. the area to the left of 96
Mathematics
1 answer:
Lunna [17]3 years ago
5 0

Answer:

b. the area to the right of 2

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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, which is also the area to the left of Z. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X, which is the area to the right of Z.

In this problem:

X = 96, \mu = 72, \sigma = 12

Z = \frac{X - \mu}{\sigma}

Z = \frac{96 - 72}{12}

Z = 2

Percentage who did better:

P(Z > 2), which is the area to the right of 2.

You might be interested in
I need this to be 20 letters so whats 2 +2
Firdavs [7]

Answer: So what is two plus two plus two?

Well let me demonstrate. Take 2 cookies for example, your friend supplements 2 more cookies and there you have it 4 cookies. So two and two cookies are 4 cookies. Thus, 2+2=4

Step-by-step explanation: Hope I helped you out <3

-Carrie

5 0
3 years ago
Which statement is true?
True [87]
It’s the second one it’s right
8 0
2 years ago
Read 2 more answers
(-7) × (-5) = _____
vitfil [10]
(-7) × (-5) = 35
2 × (-8) = -16
(-11) × 4= (-44)
-8× 8 = (-64)
(-9) × (-9)= 81
(-17) × (-2) =34
(-10) ÷ -2 = 5
44 ÷ (-11)= (-4)
8 0
2 years ago
Read 2 more answers
Please help with Algebra
mina [271]

Answer:

C) 6

Step-by-step explanation:

I converted the equation into slope-intercept form and then identified the y-intercept.

4x+2y=12\\\\4x-4x+2y=12-4x\\\\2y=12-4x\\\\\frac{2y=12-4x}{2}\\\\ y=6-2x\\\\y=-2x+6\\\\y=-2x+\boxed{6}

C should be the correct answer.

Hope this helps.

3 0
2 years ago
Read 2 more answers
What is the answer for 3x=x+8
liraira [26]

Answer:

X = 4 pls mark me brainliest

7 0
3 years ago
Read 2 more answers
Other questions:
  • A fish tank has 10 goldfish, 6 tetras, 5 snails, and 3 platies. What is the ratio of tetras to platies?
    11·1 answer
  • (PLEASE HELPPP!!!)
    12·1 answer
  • Find the perimeter and area of isosceles trapezoid EFGH. <br> A=1/2(b1+b2)•h
    10·1 answer
  • If 56% of the 125 fifth-grade students have a skateboard, how many of the students have a skateboard?
    15·1 answer
  • I need help on this and the person who answer this correctly gets a BRANLIST(answer if you know)​
    8·1 answer
  • Please help, this is for a final grade and it affects how I place
    13·1 answer
  • Help me please no work needed<br> ^^
    6·1 answer
  • Whats 2(4k+3)-13=2(18-k)-13 solve
    10·1 answer
  • The sum of two numbers is 8 and the diffrence is 6 what are the two numbers?
    9·1 answer
  • Find an order pair (x, y) that is a solution to the equation <br> -x+6y=3
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!