Administrators want to understand how currently enrolled students are placing into their current math class. They randomly choose five math courses and ask the instructors to post a survey on their Canvas site for students to complete within the first week of class. The administrators will calculate the proportion of students that placed into their math class by their high school GPA.. a) What is the population of interest?
b) What is the population parameter of interest?
c) What is the sampling frame?
d) Describe the sample.
e) What type of sampling method was used for this study?
f) Who was possibly left out of this study?!

Step-by-step explanation:

a) What is the population of interest?

The population of interest are college students

b) What is the population parameter of interest?

The population parameter is an average value on how currently enrolled students are placing into their current math class.

c) What is the sampling frame?

Identify currently enrolled students

d) Describe the sample.

The sample will be based on a representative sample that suit the administrators needs or specifically approach individuals with these certain characteristics.

e) What type of sampling method was used for this study?

Judgment or purposive sampling

f) Who was possibly left out of this 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