Move the red distribution at the top so that it aligns with the blue distribution. Now look at the green distribution at the bottom. How would you best interpret the green (bottom) distribution? A- The distribution of differences between the sample means of each group has a mean at or near zero making it likely the two groups are not statistically different.

B- The distribution of differences between the sample means of each group has a mean at or near 325 making it likely the two groups are not statistically different.

C- The distribution of differences between the sample means of each group has a mean at or near zero making it likely the two groups are statistically different.

D- The distribution of differences between the sample means of each group has a mean at or near 325 making it likely the two groups are statistically different.

A- The distribution of differences between the sample means of each group has a mean at or near zero making it likely the two groups are not statistically different.

Step-by-step explanation:

The distribution of both the red and blue is identical although the skewness differs slightly. The distribution of the two groups is identical and their mean is near to zero. The distribution of observation of the group provides clear view that these two groups are not statistically different.

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

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