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Statistics - Lab #6 Essay examples

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STATISTICS - Lab #6
Statistical Concepts: Data Simulation Discrete Probability Distribution Confidence Intervals

Calculations for a set of variables

Open the class survey results that were entered into the MINITAB worksheet.

We want to calculate the mean for the 10 rolls of the die for each student in the class. Label the column next to die10 in the Worksheet with the word mean. Pull up Calc > Row Statistics and select the radio-button corresponding to Mean. For Input variables: enter all 10 rows of the die data. Go to the Store result in: and select the mean column. Click OK and the mean for each observation will show up in the Worksheet.

We also want to calculate the median for the 10 rolls of the die. Label the …show more content…

Either show work or explain how your answer was calculated.

Mean: Summation xP(x) = 1(1⁄6) +2(1⁄6) + 3(1⁄6) + 4(1⁄6) + 5(1⁄6) +6(1⁄6) = 21⁄6= μ 3.5
Standard deviation: sq. root ((1-3.5)^2 •(1⁄6) + (2-3.5)^2•(1⁄6) + (3-3.5)^2•(1⁄6) + (4-3.5)^2•(1⁄6) + (5-3.5)^2•(1⁄6) + (6-3.5)^2•(1⁄6))= sq. root2.916=σ 1.707

3.) Give the mean for the mean column of the Worksheet. Is this estimate centered about the parameter of interest (the parameter of interest is the answer for the mean in question 2)?

μ of Mean: 3.560. Yes, this is very closely centered around the parameter of interest (3.5)

4.) Give the mean for the median column of the Worksheet. Is this estimate centered about the parameter of interest (the parameter of interest is the answer for the mean in question 2)?

μ of Median: 3.600. Yes, this too is also centered around the parameter of interest (3.5).

5.) Give the standard deviation for the mean and median column. Compare these and be sure to identify which has the least variability?

σ of Mean: .0476 σ of Median: .0754
The standard deviation of the Means is smaller, thus having less variability than the Median, meaning the data for the Means is grouped closer

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