For all problems provide the following as warranted. SHOW ALL WORK: Null hypothesis; Alternative hypothesis; appropriate variables such as variance, sample mean etc; a sketch of the normal distribution curve with the appropriate critical value(s), critical (reject) area(s), and test value shown; a written statement on whether the null hypothesis is to be reject based on the provided evidence. Please ask for clarification on these directions if needed.   3) The number of students who belong to the dance company at each of several randomly selected small universities is shown here. Estimate the true population mean size of a university dance company with 99% confidence.21 25 32 22 28 30 29 30 40 47 26 35 26 35 28 28 32 27

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Q: Are the univariate sample data normally distributed? Explain why for each.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.