Your employer wants to compare the performance of two shops owned by your company: Shop A and Shop B. You have information on the amount of sales (in 1,000 Euros) on 7 days randomly selected in the last three months (sales in both shops were measured on the same days). The data are in the table below. Day Shop A Shop B 3 June 2.3 2.3 15 June 2.9 3.2 5 July 2.5 3.0 7 July 3.2 2.9 29 July 1.3 2.7 31 July 4.0 3.0 9 August 2.0 2.6 a) Make a Box and Whisker Plot for each of the shops. Clearly state the values of the measures of interest. b)With reference to the previous Box and Whisker Plots, compare sales in the two shops. What other measure(s) of variability could you have used? c) As stated above, the data available for the two shops refer to 7 days randomly selected in the last three months (June, July, August). How many possible samples of 7 days could have been selected out of those three months? (Note: you do not need to compute the actual number, just show how you would compute that number) d) Assume that daily sales in a third shop (Shop C) are normally distributed with mean 3.0 and standard deviation 0.90. Compute the probability that on a randomly selected day sales are higher than 4.0
Your employer wants to compare the performance of two shops owned by your company: Shop A and
Shop B. You have information on the amount of sales (in 1,000 Euros) on 7 days randomly selected in the
last three months (sales in both shops were measured on the same days). The data are in the table below.
Day Shop A Shop B
3 June 2.3 2.3
15 June 2.9 3.2
5 July 2.5 3.0
7 July 3.2 2.9
29 July 1.3 2.7
31 July 4.0 3.0
9 August 2.0 2.6
a) Make a Box and Whisker Plot for each of the shops. Clearly state the values of the measures
of interest.
b)With reference to the previous Box and Whisker Plots, compare sales in the two shops. What
other measure(s) of variability could you have used?
c) As stated above, the data available for the two shops refer to 7 days randomly selected in the
last three months (June, July, August). How many possible samples of 7 days could have been selected out
of those three months? (Note: you do not need to compute the actual number, just show how you would
compute that number)
d) Assume that daily sales in a third shop (Shop C) are
standard deviation 0.90. Compute the probability that on a randomly selected day sales are higher than 4.0
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