# Automobiles Homes Apartments Statistics Worksheet

Name: Abdulla AlabbarDATA Set: Indicate one:

Automobiles

Homes

Apartments

Directions: Fill in the answer to the questions posed below. Attach the specified

printouts where indicated and upload the project in Canvas on or before the

deadline. Please give specific interpretations as generic answers will not

receive full credit.

1. Unemployment is a big concern due to people being laid off due to the Coronavirus

pandemic. It is estimated that 30% of all households have been directly affected. Suppose

we randomly sample 25 households and determine the number of households that have

been directly affected.

a. Identify the type of distribution that can be used to analyze this data. Make sure to identify

any parameters that would be needed in this identification (ex. N, p, µ, ).

b. What is the probability that more than 8 of these 25 sampled households has been directly

affected? Show work to get full credit.

c. What is the probability that at least 5 but less than 11 of the sampled household has been

directly affected? Show work to get full credit.

2.

Provide a printout in which you find the Descriptive Statistics Here

mean and standard deviation for the 75

sizes/mileages of your data set. Also, list

your size/mileage for your 10th and your 50th observation below. For all of question 2,

treat these values as the mean and standard deviation of the population when

answering questions.

Size/Mileage for Observation #10: ___________

Size/Mileage for Observation #50: ___________

a. For this problem, assume that the distribution for all sizes/mileages in the population are

normally distributed (may not really be true). Find the proportion of all sizes/mileages that

would fall between the sizes/mileages of your 10th and 50th observations. To receive full

credit, you should include pictures of the normal curve (labeled with both x and zvalues) with the pertinent probabilities shaded in the picture.

X

z

b. Assuming the distribution of the sizes/mileages are normal, use the mean and

standard deviation you found above to locate the 6.3rd percentile in the

size/mileage distribution. To receive full credit, you show as much work as

possible.

c. Suppose you take a future sample of 100 sizes/mileages from your population.

Describe the sampling distribution for the x-bar value that you would find. (hint:

there should be three parts to this answer)

d. Use the sampling distribution to find the probability that the sample mean from that future

sample would be greater than the size/mileage for Observation #50. To receive full

credit, you should include pictures of the normal curve (labeled with both x-bar and

z-values) with the pertinent probabilities shaded in the picture.

𝑥̅

z

3. Use two of the techniques discussed in class to assess the normality of the Price distribution

from your data set. You can choose the two techniques you use. Just make sure you show

us enough information (including printouts) to check your work.

Name: Abdulla Alabbar

DATA Set: Indicate one:

Automobiles

Homes

Apartments

Directions: Fill in the answer to the questions posed below. Attach the specified

printouts where indicated and upload the project in Canvas on or before the

deadline. Please give specific interpretations as generic answers will not

receive full credit.

1. Unemployment is a big concern due to people being laid off due to the Coronavirus

pandemic. It is estimated that 30% of all households have been directly affected. Suppose

we randomly sample 25 households and determine the number of households that have

been directly affected.

a. Identify the type of distribution that can be used to analyze this data. Make sure to identify

any parameters that would be needed in this identification (ex. N, p, µ, ).

b. What is the probability that more than 8 of these 25 sampled households has been directly

affected? Show work to get full credit.

c. What is the probability that at least 5 but less than 11 of the sampled household has been

directly affected? Show work to get full credit.

2.

Provide a printout in which you find the Descriptive Statistics Here

mean and standard deviation for the 75

sizes/mileages of your data set. Also, list

your size/mileage for your 10th and your 50th observation below. For all of question 2,

treat these values as the mean and standard deviation of the population when

answering questions.

Size/Mileage for Observation #10: ___________

Size/Mileage for Observation #50: ___________

a. For this problem, assume that the distribution for all sizes/mileages in the population are

normally distributed (may not really be true). Find the proportion of all sizes/mileages that

would fall between the sizes/mileages of your 10th and 50th observations. To receive full

credit, you should include pictures of the normal curve (labeled with both x and zvalues) with the pertinent probabilities shaded in the picture.

X

z

b. Assuming the distribution of the sizes/mileages are normal, use the mean and

standard deviation you found above to locate the 6.3rd percentile in the

size/mileage distribution. To receive full credit, you show as much work as

possible.

c. Suppose you take a future sample of 100 sizes/mileages from your population.

Describe the sampling distribution for the x-bar value that you would find. (hint:

there should be three parts to this answer)

d. Use the sampling distribution to find the probability that the sample mean from that future

sample would be greater than the size/mileage for Observation #50. To receive full

credit, you should include pictures of the normal curve (labeled with both x-bar and

z-values) with the pertinent probabilities shaded in the picture.

𝑥̅

z

3. Use two of the techniques discussed in class to assess the normality of the Price distribution

from your data set. You can choose the two techniques you use. Just make sure you show

us enough information (including printouts) to check your work.

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