Ilab Week 6 Math 221

Elementary Statistics iLab Week 6

Statistical Concepts: * Data Simulation * Discrete Probability Distribution * Confidence Intervals

Calculations for a set of variables

Mean Median
3.2 3.5
4.5 5.0
3.7 4.0
3.7 3.0
3.1 3.5
3.6 3.5
3.1 3.0
3.6 3.0
3.8 4.0
2.6 2.0
4.3 4.0
3.5 3.5
3.3 3.5
4.1 4.5
4.2 5.0
2.9 2.5
3.5 4.0
3.7 3.5
3.5 3.0
3.3 4.0

Calculating Descriptive Statistics

Descriptive Statistics: Mean, Median

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

One-Sample T: Sleep

Variable N Mean StDev SE Mean 95% CI
Sleep 20 6.950 1.572 0.352 (6.214, 7.686)

One-Sample T: Sleep

Variable N Mean StDev SE Mean 99% CI
Sleep 20 6.950 1.572 0.352 (5.944, 7.956)

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.

It is a discrete random variable because the values of the variable is 1 of the 6 values in the set (1,2,3,4,5,6), Since this set is infinite, the random variable is discrete. |

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.

Descriptive Statistics: Die1 Variable Mean StDevDie1 3.450 1.317Mean: 3.50 Standard deviation: 1.317Calculations were derived by using the minitab and going into the Stat > Basic Statistics > Display Descriptive Statistics > Variables than select the C14 (Die1) > below enter the statistics and check mark only mean and standard deviation > enter OK twice than you get the answer for the mean and