Question Description
I need an explanation for this Algebra question to help me study.

Answer directly on the worksheet.

This assignment uses a scoring guide. Review the scoring guide on the first tab of the spreadsheet prior to beginning the assignment to become familiar with the expectations for successful completion.

Please note that the Confidence Interval Explanation document is provided for reference and assistance with Major Assignment 2.

Samples from the after data of size 100 are taken and the mean is found. This is repeated 1000 times to get a sampling distribution. The normal distribution which has mean equal to the mean of the after data and standard deviation equal to the standard deviation of the after data divided by the square root  of the number of samples, this is the SE, is shown in the background. The 95% confidence interval is indicated by the red coloring on the normal distribution, this is (mean – 1.96*SE, mean + 1.96*SE). The meaning should be clear, about 95% of the sampling distribution should occur in this interval.
Here is one sample from the after data. Hit <F9> to get a new sample.
A good intuition for the CI: The mean is a point estimate. You take a sample of the population, take the sample mean and use this as an estimate for the population mean. Why should this estimate be any good, after all, you just have one random sample. The CI is an interval estimate, a 95% CI is an interval obtained from a sample and you interpret this as: “I am 95% certain that the actual population mean is in the interval.” You are not predicting a specific mean for the population, instead you are finding an interval of possible values for the population mean and you are able to quantify how certain you are that the true population mean is inside that interval.

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