QUESTION IMAGE
Question
below.
name brand store brand
22 30 25 33 22 27
21 20 25 26 15 23
20 23 27 17 28 21
26 29 33 24 19 28
22 24
a.
b.
c.
d.
(b) does there appear to be a difference in the number of chips per cookie?
a. yes. the store brand appears to have more chips per cookie.
b. no. there appears to be no difference in the number of chips per cookie.
c. yes. the name brand appears to have more chips per cookie.
d. there is insufficient information to draw a conclusion.
Step1: Analyze the box - plots
In a box - plot, the position of the box (median line within the box, and the overall location of the box on the number line) gives an indication of the central tendency of the data.
For the name brand (N), looking at the box - plot, we can observe that the median and the overall spread of the data (represented by the box and whiskers) is shifted to the right compared to the store brand (S).
Step2: Compare central tendencies
A shift to the right on a number line (where the numbers are increasing from left to right) in a box - plot implies a higher central tendency (median, in the case of box - plots). Since the name brand's box - plot is positioned to the right of the store brand's box - plot, it means that the name brand has a higher number of chips per cookie on average.
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C. Yes. The name brand appears to have more chips per cookie.