The standard deviation of the sample mean differences is 4.854
The table of values is given as:
Sample Standard deviation
Red box 3.868
Blue box 2.933
The standard deviation of the sample mean differences is calculated using:
[tex]\sigma = \sqrt{\sigma_1^2 + \sigma_2^2}[/tex]
This gives
[tex]\sigma = \sqrt{3.868^2 + 2.933^2}[/tex]
Evaluate the expression
[tex]\sigma = 4.854[/tex]
Also, the table of value do not give any information regarding the sample size.
This means that the sample size of the session regarding the number of people would purchase the red box and the blue box are unknown
Hence, the standard deviation of the sample mean differences is 4.854
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