Lesson 5.7 Practice: Calculating a Data value from a given area cloned 2/23/2023

Last updated over 1 year ago

12 questions

Note from the author:

Get out your notes for 5.7. You only need a calculator and the Normal Distribution Chart.

Instructions

Get out your notes for 5.7. You only need a calculator and the Normal Distribution Chart.

Required

Lesson 5.7 Practice: Calculating a Data value from a given area cloned 2/23/2023

Last updated over 1 year ago

12 questions

Note from the author:

Get out your notes for 5.7. You only need a calculator and the Normal Distribution Chart.

Instructions

Get out your notes for 5.7. You only need a calculator and the Normal Distribution Chart.

Required

Given the model N(125, 15), draw the Normal Model, clearly label it with the z-score cutpoints, give the corresponding data values and show the % that the 68-95-99.7 Rule gives in each section.
Use the 'show your work' area.

Required

Using the Normal Distribution Model from #1:
What is the z-score for the lower 2.5%? _______ 
Give the corresponding data value cutpoint for the lower 2.5%. _______ 

Required

Using the Normal Distribution Model from #1:
What is the z-score for the upper 16%? _______ 
Give the corresponding data value cutpoint for the upper 16%. _______ 

Required

The Virginia Cooperative Extension reports that the mean weight of yearling Angus steers is 1152 pounds and the standard deviation is 84 pounds.

What is the notation for this normal distribution model? ex. N(...

Required

The Virginia Cooperative Extension reports that the mean weight of yearling Angus steers is 1152 pounds and the standard deviation is 84 pounds.

Using N(1152, 84) what is the cutpoint data value for the lowest 20% of weights?
First: what is the decimal area we are interested in? _______ 

Second: what is the corresponding z-score to the lowest 20%? _______ 

Third:  Set up the z-score formula and calculate the data value for the steer's weight. 
                 Steer's weight = _______ do not include units, round to two places.

Required

The Virginia Cooperative Extension reports that the mean weight of yearling Angus steers is 1152 pounds and the standard deviation is 84 pounds.

Using N(1152, 84) what is the cutpoint data value for the lowest 8% of weights?
First: what is the decimal area we are interested in? _______ 

Second: what is the corresponding z-score to the lowest 8%? _______ 

Third:  Set up the z-score formula and calculate the data value for the steer's weight. 
                 Steer's weight = _______ do not include units, round to two places.

Required

The Virginia Cooperative Extension reports that the mean weight of yearling Angus steers is 1152 pounds and the standard deviation is 84 pounds.

Using N(1152, 84) what is the cutpoint data value for the lowest 75% of weights?
First: what is the decimal area we are interested in? _______ 

Second: what is the corresponding z-score to the lowest 75%? _______ 

Third:  Set up the z-score formula and calculate the data value for the steer's weight. 
                 Steer's weight = _______ do not include units, round to two places.

Required

The Virginia Cooperative Extension reports that the mean weight of yearling Angus steers is 1152 pounds and the standard deviation is 84 pounds.
Using N(1152, 84) for the Angus steers, what is the cutpoint data value where you would expect to find the highest 10% of weights?
REMEMBER: the Normal Distribution chart ONLY gives the area to the LEFT of a data value,  you will need to subtract from 100 first!!!

What area are we looking for on the Normal Distribution Chart in order to find the top 10%?_______ 
What z-score corresponds to this area? _______ 
What data value for steer weight corresponds to this z-score? _______ 

Required

The Virginia Cooperative Extension reports that the mean weight of yearling Angus steers is 1152 pounds and the standard deviation is 84 pounds.
Using N(1152, 84) for the Angus steers, what weight would give the cutpoint for the top 4%?

What area are we interested? (refer to #8 if you aren't sure) _______ 
Using the Normal Distribution Chart, what z-score corresponds to this area? _______ 
Set up the z-score formula and calculate the steer weight that would be at the top 4%: _______ 

Required

The Virginia Cooperative Extension reports that the mean weight of yearling Angus steers is 1152 pounds and the standard deviation is 84 pounds.
Using N(1152, 84) for the Angus steers, what weight represents the 40th percentile?
Remember 'percentile means the area to the LEFT'.

What is the area we are interested in? _______ 
Check the Normal Distribution chart, what z-score corresponds to this area?  _______ 
Use this z-score to calculate the data value for the steer weight at this point: _______ 

Required

The Virginia Cooperative Extension reports that the mean weight of yearling Angus steers is 1152 pounds and the standard deviation is 84 pounds.
Using N(1152, 84) for the Angus steers, what weight represents the 99th percentile?
Remember 'percentile means the area to the LEFT'.

What is the area we are interested in? _______ 
Check the Normal Distribution chart, what z-score corresponds to this area?  _______ 
Use this z-score to calculate the data value for the steer weight at this point: _______ 

Required

Find the IQR of Angus Steer weights: using N(1152, 84) for the Angus steers, what are the cutpoint values for the central 50%?
First: what are the % as decimals for Q1 _______  AND Q3 _______ 

Second: what is the z-score that corresponds to Q1? _______ 
               what is the z-score that corresponds to Q3? _______ 

Third: calculate the steer weight at Q1: _______ 
            calculate the steer weight at Q3: _______ 

Fourth: NOW find the IQR using the two weights: _______ 

Lesson 5.7 Practice: Calculating a Data value from a given area cloned 2/23/2023

Lesson 5.7 Practice: Calculating a Data value from a given area cloned 2/23/2023

Given the model N(125, 15), draw the Normal Model, clearly label it with the z-score cutpoints, give the corresponding data values and show the % that the 68-95-99.7 Rule gives in each section.Use the 'show your work' area.

The Virginia Cooperative Extension reports that the mean weight of yearling Angus steers is 1152 pounds and the standard deviation is 84 pounds.What is the notation for this normal distribution model? ex. N(...

Given the model N(125, 15), draw the Normal Model, clearly label it with the z-score cutpoints, give the corresponding data values and show the % that the 68-95-99.7 Rule gives in each section.Use the 'show your work' area.

The Virginia Cooperative Extension reports that the mean weight of yearling Angus steers is 1152 pounds and the standard deviation is 84 pounds.What is the notation for this normal distribution model? ex. N(...

Given the model N(125, 15), draw the Normal Model, clearly label it with the z-score cutpoints, give the corresponding data values and show the % that the 68-95-99.7 Rule gives in each section.
Use the 'show your work' area.

The Virginia Cooperative Extension reports that the mean weight of yearling Angus steers is 1152 pounds and the standard deviation is 84 pounds.

What is the notation for this normal distribution model? ex. N(...

Given the model N(125, 15), draw the Normal Model, clearly label it with the z-score cutpoints, give the corresponding data values and show the % that the 68-95-99.7 Rule gives in each section.
Use the 'show your work' area.

The Virginia Cooperative Extension reports that the mean weight of yearling Angus steers is 1152 pounds and the standard deviation is 84 pounds.

What is the notation for this normal distribution model? ex. N(...