Using the <em>normal distribution and the central limit theorem</em>, it is found that there is a 0.1335 = 13.35% probability that 100 randomly selected students will have a mean SAT II Math score greater than 670.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:

- It 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, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
In this problem:
- The mean is of 660, hence
.
- The standard deviation is of 90, hence
.
- A sample of 100 is taken, hence
.
The probability that 100 randomly selected students will have a mean SAT II Math score greater than 670 is <u>1 subtracted by the p-value of Z when X = 670</u>, hence:

By the Central Limit Theorem



has a p-value of 0.8665.
1 - 0.8665 = 0.1335.
0.1335 = 13.35% probability that 100 randomly selected students will have a mean SAT II Math score greater than 670.
To learn more about the <em>normal distribution and the central limit theorem</em>, you can take a look at brainly.com/question/24663213
5,695= 67x85 that's the answer
Answer:
Niamh gets 12 and Jack gets 24.
Step-by-step explanation:
4:8 is equal to 1:2. 1 part + 2 parts is equal to 3 parts, which is equal to the whole. 36 is the whole, so 36/3 is equal to 12. 1 * 12 is equal to 12, and 2 * 12 is equal to 24.
Answer:
I would say Sony's age is 33 because 4/5 of 32 is about 25 then 25+8=33
Hope I helped :)
9514 1404 393
Answer:
right
Step-by-step explanation:
1.0 cm = 10. mm . . . . . . the decimal point is moved to the right
3.5 cm = 35. mm . . . . . . the decimal point is moved to the right