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In: Statistics and Probability

Define and explain each of the steps for confidence intervals. Provide examples as needed. (Please type...

  1. Define and explain each of the steps for confidence intervals. Provide examples as needed. (Please type Answer)

Solutions

Expert Solution

Confidence interval is defined as the interval shows the estimate that all the possible values of a unknown population parameter will be fall in this region.

For the identification of Confidence interval we have Four steps the steps are fallows

step 1 - identify the sample statistic (sample mean ,

sample population)

step 2 - select the confidence level (90%,95%,99%)

step 3 - Find margin of error from the below formula

Margin of error = Critical value * Standard deviation of statistic

step 4 - specify the interval by the formula

Confidence interval = sample statistic + Margin of error

in this the lower limit is

Confidence interval = sample statistic - Margin of error

the upperr limit is

Confidence interval = sample statistic + Margin of error

For example

Suppose we want to estimate the average weight of an adult male in Dekalb County, Georgia. We draw a random sample of 1,000 men from a population of 1,000,000 men and weigh them. We find that the average man in our sample weighs 180 pounds, and the standard deviation of the sample is 30 pounds. What is the 95% confidence interval.

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