Suppose you are conducting a survey to investigate cholesterol levels of people living in Riverside, CA. Using this scenario, write an essay that explores the following issues(You may include equations if necessary).

1) How would you collect the survey data? (Make sure you justify your procedure using relevant statistical theory and concepts)

2) How would you apply the hypothesis test for one population mean to this case?

3) How would you prove that the mean value of cholesterol levels in Riverside, CA is not equal to 210? You should provide null and alternative hypotheses statements for this particular situation. Also, discuss whether you would use z or t statistics, and why. Finally, discuss under what circumstance you would reject or accept the null hypothesis. What is the statistical rationale for rejecting or failing to rejecting the null hypothesis in this case? Your justification should be based on the comparison of p-value and significance level. Note that this is a hypothetical scenario, and you can make up numbers, but your arguments should be based on appropriate statistical concepts and theory.

Each student should be able to address above-mentioned issues, applying relevant statistical concepts and theory taught in week 4, to receive full credits. (minimum words requirement: 500 words excluding original questions and title)

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