(4 points) a recent study resulted in a sample of n = 25 data points with a mean of 2 and a standard deviation of 5. because of this, researchers chose to reject : =0 in favor of : > 0 based on a 5% significance level. in fact, the sample results were miscalculated. assuming the conditions were met to conduct the test, for which of the errors listed below would you recommend the researchers switch their decision? treat each error as the only error made, and check the box next to each error that would require a change. a. the sample size n was actually 15. b. the mean was actually 1.75. c. the standard deviation was actually 1.5. d. the standard deviation was actually 10.

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step-by-step explanation:

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

hi there, i would be interested to you with your test, may you add the questions and answer options.

- : )