Stats question need help fast, thank you ?
There are four sales representatives in the treadmill department of the Fitness Factory exercise equipment store. The number of treadmills each has sold in the past two weeks can be seen below in Table 1. For the following questions assume that sample sizes are 2.
Table 1: Treadmills sold by Employees of the Fitness Factory
Sales RepresentativeTreadmills Sold
Stefan23
Agnessa28
Cedric24
Becky22
For full marks your answer should be accurate to at least two decimal places.
The marking allows the use of the finite population correction factor, and will provide appropriate feedback if the student did make use of it.
Calculate the following:
- The population mean
- The population standard deviation
- The standard deviation of sampling distribution
Population mean:
mean = sum / n
mean = (23 + 28 + 24 + 22) / 4 = 97 / 4 = 24.25
population standard deviation =
sqrt(summation ( abs(mean – x)^2)/n) =
sqrt (((24.25 – 23) ^ 2 + (28 – 24.25) ^ 2 + (24.25 – 24) ^ 2 + (24.25 – 22) ^ 2) / (4) ) = 2.28
sample standard deviation =
sqrt(summation ( abs(mean – x)^2)/n-1) =
= sqrt {[(24.25 - 23) ^ 2 + (28 - 24.25) ^ 2 + (24.25 - 24) ^ 2 + (24.25 - 22) ^ 2] / (4-1) } = 2.63
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