Writing on the SAT Exam It has been found that scores on the Writing portion of the SAT (Scholastic Aptitude Test) exam are normally distributed with mean 484 and standard deviation 115. Use the normal distribution to answer the following questions. Required:
a. What is the estimated percentile for a student who scores 425 on Writing?
b. What is the approximate score for a student who is at the 87th percentile for Writing?
Answers
Answer:
a) The estimated percentile for a student who scores 425 on Writing is the 30.5th percentile.
b) The approximate score for a student who is at the 87th percentile for Writing is 613.5.
Step-by-step explanation:
Problems of normally distributed distributions are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
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.
In this question, we have that:
a. What is the estimated percentile for a student who scores 425 on Writing?
This is the pvalue of Z when X = 425. So
has a pvalue of 0.3050.
The estimated percentile for a student who scores 425 on Writing is the 30.5th percentile.
b. What is the approximate score for a student who is at the 87th percentile for Writing?
We have to find X when Z has a pvalue of 0.87. So X for Z = 1.126.
The approximate score for a student who is at the 87th percentile for Writing is 613.5.
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out of 24 students, 6 preferred to use pastels for their portraits while 4 preferred to use watercolours watercolours. what percentage of the class preferred pastels? % Jasmin bought a box of 40 assorted coloured pastels, 1/5 are blue, 3/10 are green, 20% are red and 5 are yellow. Of which colour are there most pastels? How many pastels are colours other than blue, green, red or yellow?
Simplify 3x/4 X 4y/2
What’s the correct answer for this?
Answers
Answer:
This is solved
Step-by-step explanation:
Hope this helps
Answers
Answer:
z = -3.73
Probability = P(z<-3.73) = 9.48761E.05
Step-by-step explanation:
Detailed explanation is given in the attached document.
The probability that the project will take more than 30 days to complete can be found using the NORMSDIST() function in Excel, and it depends on the z-score associated with the project's completion time distribution.
To find the probability that a project will take more than 30 days to complete using the normal distribution, you'll need to follow these steps:
1. Calculate the z-score for 30 days using the formula:
Z = (X - μ) / σ
Where:
- X is the value you're interested in (30 days in this case).
- μ is the mean completion time (expected completion time).
- σ is the standard deviation of completion times.
2. Once you have the z-score, use Excel's NORMSDIST() function to find the probability associated with that z-score.
Here's a hypothetical example of how to do this:
Let's say the expected completion time (mean) for the project is 25 days, and you have a standard deviation (σ) of 5 days. Now, calculate the z-score:
Z = (30 - 25) / 5
Z = 1
Now, use Excel's NORMSDIST() function to find the probability associated with a z-score of 1:
`=1 - NORMSDIST(1)`
This formula will give you the probability that the project will take more than 30 days to complete.
Make sure to replace the mean (25) and standard deviation (5) in the formula with the actual values from your project data. Additionally, round the z-score to two decimal places and the final answer to four decimal places, as requested in your question.
Learn more about Probability here:
#SPJ3
Answers
Answer:
d = s x t
Step-by-step explanation:
The formula for distance.
y = -4x + 5
y = 1/4x + 5
y = 4x - 5
Answers
Answer:
y=-4x + 3
Step-by-step explanation:
its the only one with a negative slope
$3.88
b.
$112.80
c.
$120.00
d.
$232.80
Answers
annual interest rate = 30% compounded monthly
term = 5 years
A = P (1 + r/n)^nt
A = future value of the cash advance
P = principal or value of cash advance
r = interest rate
n = times interest is compounded
t = terms or years
A = 120 (1 + 30%/12)^12 * 5
A = 120 (1 + 0.025)^60
A = 120 (1.025)^60
A = 120 (4.40)
A = 528
528 total amount including principal.
528 - 120 = 408 total interest paid
I hope this helps!!
Answer:
I just took the test, the answer is B.) $112.80
Answers
Answer:
-0.2222
Step-by-step explanation:
If its multiple choice choose an answer close to this. Or don't I can't tell what to do.
Answer: -2/9
Decimal form: -0.2
Step-by-step explanation: