Statistics – Lab #6
* 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 ...view middle of the document...
1. When rolling a die, is this an example of a discrete or continuous random variable? Explain your reasoning.
The result of a die roll is an example of a discrete random variable. Only certain values can occur. |
2. Calculate the mean and standard deviation of the probability distribution created by rolling a die. Either show work or explain how your answer was calculated.
Mean: 3.5 1(1/6)+2(1/6)+3(1/6)+4(1/6)+5(1/6)+6(1/6)Standard deviation: 1.7078sqrt((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)) |
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)?
3.560 – Yes it is the estimated center |
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)?
3.600 - Yes it is the estimated center |
5. Give the standard deviation for the mean and median column. Compare these and be sure to identify which has the least variability?
Mean: 0.476 Median: 0.754The...