Answer
The required mean and standard deviation for 100 samples are 2.210 and 1.695, respectively.
The required standard deviation and mean for 500 samples are 1.7275 and 2.6260, 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 the data to be generated. Input C4 in the Store in Column(s) option and specify the minimum and maximum values as 0 and 5, respectively.
Step 3: Click Ok.
The 100 random samples are generated.
The mean and standard deviation of 100 samples are obtained following the below-mentioned steps in Minitab:
Step 1: Input the data in the Minitab worksheet.
Step 2: Go to Stat and select Basic Statistics, and then display the Descriptive Statistics.
Step 3: Select 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 2.210 and 1.695, respectively.
The outcomes of 500 samples are obtained by following the steps mentioned below:
Step 1: Open Minitab. Go to Calc and select Integer under the Random Data.
Step 2: Input 500 as the number of rows of the data to be generated. Input C4 in the Store in Column(s) option and specify the minimum and maximum values as 0 and 5, respectively.
Step 3: Click Ok.
The 500 random samples are generated.
The mean and standard deviation of 500 samples are obtained by following the below-mentioned steps in Minitab:
Step 1: Input the data in the Minitab worksheet.
Step 2: Go to Sta” 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 2.6260 and 1.7275, respectively.
The mean and standard deviation of the simulated data are different from the mean and standard deviation of a random variable.
The property that can be explained by observing the change in the value of mean and standard deviation is inconsistency.
