Question

Using Minitab, perform a brief study similar to the one conducted in Lecture using the exponential distribution. Generate 32 columns of samples from an exponential distribution with mean 100 with at least 500 samples. Use row statistics to construct averages from 4, 8, 16, and 32 columns. Do any of the sample sizes (4, 8, 16, or 32) appear to approximate a normal distribution? Your evaluation of normality is subjective, so provide evidence to support your conclusion.

Answer 1

Path for random number generation from exponential distribution

calc--> Random Data----> Exponential---> Number of rows of data to generated (500)--> Store in column (C1-C32)---> scale(100)-->ok

the quantities in bracket indicate the input for desired output

we get 32 columns of random numbers from exponential distribution with mean 100

Now to find row statistics for column 4,8,16,32 respectively

calc--> Row statistics --> tick for mean--> Input variables(C4)--> Stors result in(C33)-->ok

similarly do for other three columns

Then for testing normality we draw histogram of each row statistics

Graph--> Histogram--> simple--> ok--> Graph variable (C33)--> ok

the output of the graph for columns 4,8,16,32 respectively as follow

The graph shows distribution is not normal for sample size 500

The graph shows distribution is not normal for sample size 500

The graph shows distribution is not normal for sample size 500

The graph shows distribution is not normal for sample size 500