Question

Hi! I'm lost with the below problem. Please help.Mr. Hill's seventh grade math class has been learning about random sampling and how it tends to produce samples that are representative of an entire population. They've also learned that if a sample is representative of the entire population, then estimates or predictions made based on the sample usually apply to the population as well.Today, in class, they are also learning about variation in random sampling. That, although predictions and estimates about the population can be made from a random sample, different random samples will often produce slightly different predictions or estimates. To demonstrate this concept to his students, Mr. Hill is going to use simulationPART A) To conduct the simulation, Mr. Hill has placed one hundred colored chips in a bag, using the appropriate percentages of enrolled male and female university students. Red chips represent males, and yellow chips represent females. Each seventh grade student will randomly select twenty chips, record the colors they selected, and put the chips back in the bag. At this point, each seventh grade student will only know the results of their own random sample.PART B) To conduct the simulation, Mr. Hill has placed one hundred colored chips in a bag, using the appropriate percentages of enrolled male and female university students. Red chips represent males, and yellow chips represent females. Each seventh grade student will randomly select twenty chips, record the colors they selected, and put the chips back in the bag.Percentage of Male StudentsThirty Random Samples55% 65% 55% 40% 50% 70%65% 45% 55% 45% 60% 60%60% 55% 60% 60% 60% 50%45% 50% 55% 45% 45% 65%35% 55% 65% 35% 60% 50%Generate two data sets, Set A and Set B, under the following conditions.Both sets of numbers must include exactly twelve data points.Set A must have a larger mean than Set B.Set B must have a larger mean absolute deviation than Set A.Once you have created both sets of numbers, complete the following tasks. In each task, make sure to clearly label which set you are identifying or describing.

Answer 1

SET A:

Mean = 11.08

Mean Absolute Deviation (MAD) = 1.43

SET B:

Mean = 10.08

Mean Absolute Deviation (MAD) = 1.60

Step-by-step explanation

Given:

From the question, 20 chips (samples) were randomly selected from the 100 colored chips by each seventh grade student (assuming you are one of).

These 20 random selected chips contained both male and female but the percentage of each was yet to be given.

Now, the percentage of only the male students was given and this was used to generate the data sets.

Recall, both sets of numbers must include exactly twelve data points.

SET A

Given Thirty Random Samples, select the first 12 samples for SET A.

`\begin{gathered} \text{1. }(55)/(100)*20\text{ = 11} \\ 2.\text{ }(65)/(100)*20\text{ = 13} \\ \text{.} \\ \text{.} \\ \text{.} \\ 12.(60)/(100)*20\text{ = 12} \end{gathered}`

SET B

Given Thirty Random Samples, select the last 12 samples for SET B.

`\begin{gathered} 1.\text{ }(45)/(100)*20\text{ = 9} \\ \text{2. }(50)/(100)*\text{20 = 10} \\ 3.\text{ }(55)/(100)*20\text{ = 11} \\ \text{.} \\ \text{.} \\ \text{.} \\ 12.\text{ }(50)/(100)*20\text{ = 10} \end{gathered}`

Data for SET B