Randomly select 36 numbers between 20 to 50 using the Excel command =RANDBETWEEN(...).

Assume that these numbers (n = 30) represent a sample X from a population of unknown shape.

(1) Report the following about X: Data, Mean, St. Deviation, Proportion of Odd numerical values, Degrees of Freedom, St. Error, and the Excel default histogram.

(2) Using the "t" Distribution, calculate the 98% Confidence Interval about the Mean of Population.

(3) Using the "Z" Distribution, calculate the 98% Confidence Interval about the Mean of Population.

(4) Using the "t" Distribution, with 98% Confidence about the Mean, what sample size n will drive

the Margin of Error (E) down to E = 0.005?

(5) Using the "Z" Distribution, with 98% Confidence about the Mean, what sample size n will drive

the Margin of Error (E) down to E = 0.005?

(6) Using the "Z" Distribution, calculate the 98% Confidence Interval about the Proportion of Odd

numerical values in the Population.

(7) Using the "Z" Distribution, with 98% Confidence about the above Proportion, what sample size n

will drive the Margin of Error (E) down to E = 0.005?

(8) Using the Chi-squared (2) distribution, calculate the 98% Confidence Interval about both the

Variance and St. Deviation of the population.