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A Simple Random Sample of Size 36 Is Selected from a Population

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A simple random sample of size 36 is selected from a population of size 750. The sample mean is 318, and the sample standard deviation is found to be 30.
a.Estimate the standard error of the mean.
b.Develop an approximate 95% confidence interval for the population mean.


Definitions:

Expected Frequencies

The predicted counts of occurrences across different categories that one would expect if a hypothesis were true.

Chi-square Statistic

A measure used in statistics to evaluate the differences between observed and expected frequencies in categorical variables.

Expected Frequencies

In statistics, the numbers of observations or outcomes that one would expect to occur in each category if the null hypothesis were true.

Nonparametric Tests

Statistical tests not relying on data belonging to any particular distribution; often used when data does not meet the assumptions of parametric tests.

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