Answer
The required mean and standard deviation for 100 samples are 5.550 and 3.745, respectively.
The required mean and standard deviation for 500 samples are 6.050 and 3.713, respectively.
Work Step by Step
The outcomes of the 100 samples are obtained by following the steps mentioned below:
Step 1: Open Minitab. Go to Calc and select the option Integer under the Random Data.
Step 2: Input 100 as the number of rows of data to be generated. Input C4 in the Store in Column(s) option and specify the minimum and maximum values as 0 and 12, respectively.
Step 3:Click Ok.
The 100 random samples are generated.
The mean and standard deviation of 100 samples are obtained by following the below-mentioned steps in Minitab:
Step 1: Input the data in the Minitab worksheet.
Step 2: Go to Stat and select the Basic Statistics, and then display the Descriptive Statistics.
Step 3: Input C1 in the Variables column.
Step 4: Chose the options Mean and Standard Deviation.
Step 5: Click Ok.
The mean and standard deviation are obtained as 5.550 and 3.745, respectively.
The outcomes of the 500 samples are obtained by following the steps mentioned below:
Step 1: Open the Minitab. Go to Calc and select the option Integer under the Random Data.
Step 2: Input 500 as the number of rows of data to be generated. Input C4 in the Store in Column(s) option and specify the minimum and maximum values as 0 and 12, respectively.
Step 3: Click Ok.
The 500 random samples are generated.
The mean and standard deviation of 100 samples are obtained by following the below-mentioned steps in Minitab:
Step 1: Input the data in the Minitab worksheet.
Step 2: Go to Stat and select the Basic Statistics, and then display the Descriptive Statistics.
Step 3: Input C2 in the Variables column.
Step 4: Chose the options Mean and Standard Deviation.
Step 5: Click Ok.
The mean and standard deviation are obtained as 6.050 and 3.713, respectively.
The mean and standard deviation of a simulated data is different from the mean and standard deviation of a random variable.
The value of the measures are changed due to the presence of extreme values, as well as the change in sample size. This property of the measures is known as inconsistency.
