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:
$4
Step-by-step explanation:
I tried to make it as simple as possible.
Answer:
(x) =
Step-by-step explanation:
let y = f(x), then rearrange making x the subject
y =
x + 4 ( subtract 4 from both sides )
y - 4 =
x ( multiply both sides by 5 to clear the fraction )
5y - 20 = x
Change y back into terms of x with x =
(x) , then
(x) = 5x - 20
Answer:
C is the closest one but it should be -472 instead -475
Step-by-step explanation:
just insert X in the formulas and compare to P
When is standing up right with a line