how can u stand applying math to every thing doesn't it make every thing repetitive and why does every thing need a pattern does
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Answer:
0.43% probability that the mean IQ score of 50 randomly selected people will be more than 23
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
Problems of normally distributed samples 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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
What is the probability that the mean IQ score of 50 randomly selected people will be more than 23
This is 1 subtracted by the pvalue of Z when X = 23. So
By the Central Limit Theorem
has a pvalue of 0.9957
1 - 0.9957 = 0.0043
0.43% probability that the mean IQ score of 50 randomly selected people will be more than 23
Answer:
Step-by-step explanation:
Given :
Two points are given in graph (-6, -4) and {7, 5).
The point-slope form of the equation of a straight line is:
------------(1)
Let and
The slope of the line
Put all known value in above equation.
The slope of the line
We know m, and also know that , so we put these value in equation 1.
Therefore, the equation of the line is .