Sticking with Oxybravne as describe above. Consider a sample size (with replacement) of 35 used to estimate the proportion of its residents falling in to A-class. (a) What is the probability that your sample reveals an estimate of ˆp of: pˆ = 0.343?
(b) Now what if the sample size was effectively infinite, and sampling was with replacement. What would your answer be now?
(c) How would you describe ˆp given the original sample size of 35 ? Be sure to specify all that you are capable of specifying.
(d) Calculate the probability that the ˆp estimate obtained in a sample would exceed a value of 29.9 %

9x

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