Answer:
Step-by-step explanation:
d = 7%2F2
-2, -2+7%2F2, -2+2%287%2F2%29, -2+3%287%2F2%29, 12
-2, -4%2F2+7%2F2, -4%2F2+14%2F2, --4%2F2+21%2F2, 12
-2, 3%2F2, 10%2F2, 17%2F2, 12
-2, 3%2F2, 5, 17%2F2, 12
Using the <u>normal distribution and the central limit theorem</u>, it is found that the interval that contains 99.44% of the sample means for male students is (3.4, 3.6).
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
.
- The standard deviation is of
.
- Sample of 100, hence

The interval that contains 95.44% of the sample means for male students is <u>between Z = -2 and Z = 2</u>, as the subtraction of their p-values is 0.9544, hence:
Z = -2:

By the Central Limit Theorem




Z = 2:




The interval that contains 99.44% of the sample means for male students is (3.4, 3.6).
You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213
Answer:
512 cm^3
Step-by-step explanation:
Divide 384 by 6 to find the surface area of one face of the cube. 384/6 = 64.
Find the square root of 64 to find both the length and width of the square. They are equal in a square.
= 8 = x
Volume = xyz or x^3
8^3 = 512
Answer:
c=3/16
n=4/3
Step-by-step explanation:
Answer:
it is d
Step-by-step explanation: