Aresearch report describing the results from a repeated-measures study states: the data show no significant difference between the two treatments, t(10) = 1.65, p > .05. based on this report, you can conclude that a total of individuals participated in the research study .

Based on this report, you can conclude that a total of ___11__ individuals participated in the research study .

Step-by-step explanation:

Given that a  research report describing the results from a repeated-measures study states:

The data show no significant difference between the two treatments, t(10) = 1.65, p > .05.

Since t(10) is given, we can conclude that degrees of freedo is 10

Hence sample size is 10+1 =11

Based on this report, you can conclude that a total of ___11__ individuals participated in the research study .

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