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Varatta Enterprises sells industrial plumbing valves. The following table lists the annual sales amounts for a portion of the salespeople in the organization for the

Varatta Enterprises sells industrial plumbing valves. The following table lists the annual sales amounts for a portion of the salespeople in the organization for the most recent fiscal year.

Click on the datafile logo to reference the data.

Salesperson Sales Amount ($1000) Salesperson Sales Amount ($1000)
Joseph 135 Wei 461
Jennifer 207 Samantha 389
Phillip 544 Erin 254
Stanley 323 Dominic 324
Luke 285 Charlie 186
Lexie 174 Amol 215
Margaret 335 Lenisa 422

a. Compute the mean (in $1000), variance (in $10002), and standard deviation (in $1000) for these annual sales values. Round your answers to the nearest whole number.

Mean ___thousand
Variance ____thousand2
Standard deviation _____thousand

b. In the previous fiscal year, the average annual sales amount was thousand with a standard deviation of thousand. Discuss any differences you observe between the annual sales amount in the most recent and previous fiscal years.

(i) The difference in the mean annual sales amount is very small and is most likely due to random change in demand for these products.

(ii) The sample mean annual sales amount and standard deviation for the previous fiscal year were significantly higher.

(iii) The sample mean annual sales amount and standard deviation for the previous fiscal year were significantly lower.

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