Consider the following two samples: Sample 1: 12, 11, 10, 7, 10, 4, 12,4 Sample
ID: 3046458 • Letter: C
Question
Consider the following two samples: Sample 1: 12, 11, 10, 7, 10, 4, 12,4 Sample 2: 12, 4, 12, 4, 10, 12, 10, 4 (a) Calculate the sample range for both samples. Would you conclude that both samples exhibit the same variability? Sample 1 Range = Sample 2 Range- So, both samples the same variability when using the sample range as the measure of dispersion (b) Calculate to 3 decimal places the sample standard deviations for both samples. Do these quantities indicate that both samples have the same variability? Sample 1 standard deviation Sample 2 standard deviation = So, both samples the same variability when using the sample standard deviation as the measure of dispersion.Explanation / Answer
The statistical software output for this problem is:
Summary statistics:
Hence,
a) Sample 1 range = 8
Sample 2 range = 8
Both samples have the same variability.
b) Sample 1 standard deviation = 3.327
Sample 2 standard deviation = 3.817
Both samples have not the same variability.
Column Range Std. dev. Sample 1 8 3.3273756 Sample 2 8 3.8172541