The solution to the inequality
is
Hope I helped! :)
is
Hope I helped! :)
81:18 equivalent to 36?
1 answer:
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Answer:
25.14% probability of observing a mean greater than 21
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, we have that:
What is the probability of observing a mean greater than 21?
This is 1 subtracted by the pvalue of Z when X = 21. So
By the Central Limit Theorem
has a pvalue of 0.7486
1 - 0.7486 = 0.2514
25.14% probability of observing a mean greater than 21
Basically your doing the equation like two algebraic equations and are trying to see if the statement is true. you ignore the greater than sign because there is no division with a negative number. work it as if the greater than sign is a equal sign and go down and then add it in in the last step. And the statement is true because 5 is intact greater than -2. does that make sense?
