Name:__________
Statistical Concepts: * Data Simulation * Discrete Probability Distribution * Confidence Intervals
Calculations for a set of variables
Answer:
Calculating Descriptive Statistics
Answer:
Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 Maximum
Mean 20 0 3.560 0.106 0.476 2.600 3.225 3.550 3.775 4.500
Median 20 0 3.600 0.169 0.754 2.000 3.000 3.500 4.000 5.000
Calculating Confidence Intervals for one Variable
Answer:
Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 Maximum
Mean 20 0 3.560 0.106 0.476 2.600 3.225 3.550 3.775 4.500
Median 20 0 3.600 0.169 0.754 2.000 3.000 3.500 4.000 5.000
Short Answer Writing Assignment
All answers should be complete sentences.
1. When rolling a die, is this an example of a discrete or continuous random variable? Explain your reasoning.
Rolling a die is a discrete random variable. The random variable can take values like X = 1,2,3,4,5,6 which will always be number and can never be 1.0001 or 1.99 etc. |
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 Standard deviation: 1.7I calculated by using the excel- x | P(x) | Mean | (x^2*P(x)) | Standard Deviation | 1 | 0.166667 | 0.166667 | 0.166666667 | 1.707825128 | 2 | 0.166667 | 0.333333 | 0.666666667 | | 3 | 0.166667 | 0.5 | 1.5 | | 4 | 0.166667 | 0.666667 | 2.666666667 | | 5 | 0.166667 | 0.833333 | 4.166666667 | | 6 | 0.166667 | 1 | 6 | | | | 3.5 | | | |
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)?
The mean for the mean column of the worksheet is