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
Mumz [18]
2 years ago
11

Raw scores on standardized tests are often transformed for easier comparison. A test of reading ability has a mean of 75 and a s

tandard deviation of 10 when given to third-graders. Sixth-graders have a mean score of 82 and a standard deviation of 11 on the same test.
What percent of sixth-graders earn a score of at least 93 on the reading test?
Mathematics
1 answer:
mixer [17]2 years ago
7 0

Using the normal distribution, it is found that 3.59% of sixth-graders earn a score of at least 93 on the reading test.

-------------------------

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula, which is given by:

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

  • \mu is the mean.
  • \sigma is the standard deviation.
  • It measures how many standard deviations the measure is from the mean. Each z-score has a p-value associated with it.
  • 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 p-value, we get the probability that the value of the measure is greater than X.

  • On the reading test, the mean is of 75, thus \mu = 75.
  • The standard deviation is of 10, thus \sigma = 10.
  • The proportion who scored above 93 is <u>1 subtracted by the p-value of Z when X = 93</u>, thus:

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

Z = \frac{93 - 75}{10}

Z = 1.8

Z = 1.8 has a p-value of 0.9641.

1 - 0.9641 = 0.0359.

0.0359 x 100% = 3.59%

3.59% of sixth-graders earn a score of at least 93 on the reading test.

A similar problem is given at brainly.com/question/24663213

You might be interested in
Which answers the graph ?
s344n2d4d5 [400]
y+2\leq-\dfrac{2}{3}+4\ \ \ |-2\\\\y\leq-\dfrac{2}{3}x+2

Answer: B. Graph B

4 0
3 years ago
(8r + 5) - (3r + 5)<br><br> help a sista out &lt;3
Rufina [12.5K]

Answer:

5r

Step-by-step explanation:

(8r + 5) - (3r + 5)

8r + 5 - 3r - 5

5r

8 0
3 years ago
Is the following equation true? 4m + 12 = 2(m + 6)
muminat

Answer:

no

Step-by-step explanation:

4m + 12 ≠ 2m + 12

3 0
3 years ago
The polynomial 3x2 – 10x + 8 has a factor of 3x – 4. What is the other factor of 3x2 – 10x + 8?
anyanavicka [17]

Answer:

Second factor is (x - 2).

Step-by-step explanation:

The given polynomial is 3x² -10x + 8 has a factor (3x - 4) and we have to find the other factor.

Now we will factorize the given polynomial to get the other factor.

3x² - 10x + 8

[ Here 8×3 = 24( multiplication of constant term 8 and coefficient of highest degree term) and 6 + 4 = 10 ]

= 3x² - 6x - 4x + 8

= 3x(x - 2) - 4(x - 2)

= (3x -4)(x -2)

In this factorized form we get two factors as (3x -4) and (x -2).

Therefore the second factor is (x - 2).

6 0
3 years ago
Read 2 more answers
Principal= ? Interest rate= 12% Time= 3 months
zhuklara [117]
Multiples ! By the patagrium there!!!!!
8 0
2 years ago
Other questions:
  • Find the value of d, the length of the diagonal across the square. If necessary,
    14·1 answer
  • 4. A boat sails east for 35 miles and then turns to sail 10 miles south. What is the distance of the boat from its ending point
    11·1 answer
  • What algebraic expression represents the phase “two times the quantity of a number minus 12”
    14·1 answer
  • A number has many factors including 3 and . What other number must also be a factor of the Same number?
    7·1 answer
  • How long does it take the otter to swim 90 feet?
    5·2 answers
  • Help please!!!!!!!!!!!!!!
    5·1 answer
  • 22
    6·1 answer
  • When x=1, find the value of y<br><br> 1) -3<br> 2) -1<br> 3)1<br> 4)-4
    6·1 answer
  • Which is the graph of the equation y=-3/2x+6
    7·1 answer
  • 6n +5&lt;7n + 10
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!