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: h - 5
Step-by-step explanation:
h decreased by 5
h - 5
I'm sorry TnT I don't really know how to explain this but I'm 100% sure my answer is correct. Hope it helped!
Area abc def cuase its 126-72+28=82 so abc def
Answer:
D is the answer not a or b or c
Step-by-step explanation:
none
We are given the following quadratic equation

The vertex is the maximum/minimum point of the quadratic equation.
The x-coordinate of the vertex is given by

Comparing the given equation with the general form of the quadratic equation, the coefficients are
a = 2
b = 7
c = -10

The y-coordinate of the vertex is given by

This means that we have a minimum point.
Therefore, the minimum point of the given quadratic equation is