Mean Confidence Interval

It is one of the main topics in statistics. We are going to find the population index in the statistics. Normally confidence level means we have to find the population parameter in between the confidence independence. Confidence level is nothing but the degree of confidence. Here the degree of statistical prediction is mostly accurate. Basically it will reflect the degree of certainty of the true values in between the confidence interval. In this the true statement value lies between the specified ranges.

I like to share this Sample Size and Confidence Interval with you all through my article.

Explanation for confidence level:

We won’t find not only finding the point of mean we have to determine how much it will be accurate. We have to estimate the estimation of accurate. Here we have to use the central limit theorem.  We have to assume the sample standard deviation is nearer to the population standard deviation. Actually the central limit theorem says

Here we are interested to finding the interval which is going to be around x and the large probability where the actual mean falls inside the confidence level interval. We will call this interval as confidence level interval. Here we have to find the confidence level which is lies between the given confidence interval. Let us see the example for finding the confidence level.

Example for finding confidence level:

Suppose a man check for clarity in 50 locations in Mount and he discovers that the average depth of the clarity is 16 feet.  Suppose that he know that the S.D for the entire Mount's depth is 3 feet.  What he will conclude about the average clarity of the mount with a 95% confidence level?

Solution:

Let us see the z –score diagram for this. We are constructed the z - score for the given 95% confidence interval.

We have to move from z = -1.96. now we are going to solve for x

- 1.96 = `(x-16)/(3 / sqrt(50))` = `(x - 14)/(0.42)`

So x - 14 = -0.82

We can say that `+- 0.82` is margin error.

We are having 95% confidence interval so that (15.18, 16.82)

It means the confidence level is lies between 13.18 and 14.82.

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