Question

Use the standard deviation values of the two samples to find the standard deviation of the sample mean differences.

Answer 1

The standard deviation of the sample mean differences is 4.854

How to determine the standard deviation of the sample mean differences?

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:

$\sigma = \sqrt{\sigma_1^2 + \sigma_2^2}$

This gives

$\sigma = \sqrt{3.868^2 + 2.933^2}$

Evaluate the expression

$\sigma = 4.854$

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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