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translate each phrase into a mathematical statement : the sum of a number and eight is less than 2
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the sum can be simplified mathemathecally as x+8<-2
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The Database of UVA (Excel file) students contains information on the undergraduate students at University of Virginia. This list contains the data for different Qualitative and Quantitative variable. Your project is to obtain the results based on the following questions using StatCrunch. Copy the StatCrunch results (graph plus answer) into summary document using the guidelines in section C.
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Do all of the work below with the Database of MATH ACT SCORES Download MATH ACT SCORES
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A) Exploratory Data Analysis
Obtain the mean and standard deviation for ACT Math scores for each class level (freshmen, sophomores, juniors, seniors) and interpret the results
Obtain the five number summary of ACT Math score for each class levels. Do any of these class levels have outliers?
Construct a boxplot and use it to investigate the data for outliers
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B) Inferential Statistics
Construct and interpret a 95% confidence interval for µ, for the mean ACT Math score for each class level.
Using regression analysis (hint, use scatter plot, r, r2 ) , investigate if there is a relationship between Age and performance in ACT Math score.; . provide an equation can be used to predict ACT math score based on age,
Write a Summary and Findings of the Project
C) Write-up
Write a brief introduction of the project.
o Interpret the mean, and standard deviation in context of the data given.
o Compare the measures of center and comment on which measure of center would best describe the data given.
o Comment on the shape of the distribution, which class level appears to be more approximately normal
o Are there any outliers in the data? Include results of your investigation for outliers. Identify which class level has an outlier
o Comment on your assessment of normality.
o Which test will be most appropriate for the inferential statistics (confidence Interval)? Z-test or t-test? Why?
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Three times one number minus a second is 8, and the sum of the numbers is 12. Which system of equations could be used to f ...
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Three times one number minus a second is 8, and the sum of the numbers is 12. Which system of equations could be used to find the two numbers?o 3x - y = 8 xy = 12o 3x - y = 8 x + y = 12o y - 3x = 8 xy = 12o y - 3x = 8 x + y= 12One number is two more than a second number. Twice the first is 4 less than 3 times the second. Find the two numbers.o 3 and 4o 8 and 10o 0 and 2o 1.6 and 3.6Find how many quarts of 4% butterfat milk and 1% butterfat milk should be mixed to yield 60 quarts of 2% butter fat milk.o 20 quarts of 4% and 40 quarts of 1%o 40 quarts of 4% and 20 quarts of 1%o 60 quarts of 4% and 0 quarts of 1%o 30 quarts of 4% and 30 quarts of 1%The Fabulous Footballers scored an incredible 55 points at last night’s game. Interestingly, the number of field goals was 1 more than twice the number of touchdowns. The Fabulous Footballers earned 7 points for each touchdown and 3 points for each field goal.Which of the following systems of equations models this situation when t represents the number of touchdowns and f represents the number of field goals?o t = 2f + 1 7t +3f = 55o f = 2 t + 1 t + 3f = 55o t = 2f +1 3t + 7f = 55o f =2t +1 3t + 7f = 55Taylor and Jeff have been selling frozen pizzas for a class fundraiser. Taylor has sold half as many pizzas as Jeff. Together they have sold a total of 126 pizzas. How many pizzas did Taylor sell?o 21o 42o 63o 84Jack bought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total cost of $12.50. Grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of $8.50. What is the cost of one slice of mushroom pizza?o $1.50o $2.00o $3.00o $3.50Find the values of x and y in the following isosceles triangle.o x = 47.5, y = 66.25o x = 0, y = 190o x = 5, y = 175o x = 40, y = 70How many units of x must be sold to break even if the cost function is C(x) = 30x + 10,000 and the revenue function is R(x) = 46x? Round to the nearest unit, if necessary.o 132 unitso 625 unitso 333 unitso 6522 unitsHow many units of x must be sold to break even if the cost function is C(x) = 0.8x + 900 and the revenue function is R(x) = 2x? Round to the nearest unit, if necessary. o 432 unitso 321 unitso 750 unitso 450 unitsThe planning department of Abstract Office Supplies has been asked to determine whether the company should introduce a new computer desk next year. The department estimates that $6000 of new manufacturing equipment will need to be purchased and that the cost of constructing each desk will be $200. The department also estimates that the revenue from each desk will be $450.Which cost function C(x) and revenue function R(x) can be used to model this scenario?o C(x) =6000x + 200 R(x) = 450xo C(x) = 200x + 6000x R(x) = 450xo C(x) = 450x + 6000 R(x) = 200xo C(x) = 200x + 6000 R(x)= 450x
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Most Popular Content
5 pages
Nash Equilibrium
1. Market research has determined estimates for each law firm’s expected profits for the various outcomes of this scenar ...
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The use of topical painkiller ointment or gel rather than pills for pain relief was approved just within the last few years in the US for prescription ...
MTH 245 George Mason High School Exploratory Data Analysis Project
Purpose:
This project is to help you apply concepts to real world, real data analysis. In the real-world computers do most ...
MTH 245 George Mason High School Exploratory Data Analysis Project
Purpose:
This project is to help you apply concepts to real world, real data analysis. In the real-world computers do most of the hard work for statisticians. This project will help you understand how an informative decision is made using data analysis. After completing this project, you should be able to determine which statistical procedures are appropriate; use StatCrunch to carry out the procedures and interpret the output
The Database of UVA (Excel file) students contains information on the undergraduate students at University of Virginia. This list contains the data for different Qualitative and Quantitative variable. Your project is to obtain the results based on the following questions using StatCrunch. Copy the StatCrunch results (graph plus answer) into summary document using the guidelines in section C.
Directions:
Do all of the work below with the Database of MATH ACT SCORES Download MATH ACT SCORES
Data: The Data set is on the project page on canvas(MATH ACT SCORES). Use StatCrunch to obtain results for the following questions.
A) Exploratory Data Analysis
Obtain the mean and standard deviation for ACT Math scores for each class level (freshmen, sophomores, juniors, seniors) and interpret the results
Obtain the five number summary of ACT Math score for each class levels. Do any of these class levels have outliers?
Construct a boxplot and use it to investigate the data for outliers
Construct a histogram, and normal probability plot (QQ Plot) for ACT Math score for each class level.
B) Inferential Statistics
Construct and interpret a 95% confidence interval for µ, for the mean ACT Math score for each class level.
Using regression analysis (hint, use scatter plot, r, r2 ) , investigate if there is a relationship between Age and performance in ACT Math score.; . provide an equation can be used to predict ACT math score based on age,
Write a Summary and Findings of the Project
C) Write-up
Write a brief introduction of the project.
o Interpret the mean, and standard deviation in context of the data given.
o Compare the measures of center and comment on which measure of center would best describe the data given.
o Comment on the shape of the distribution, which class level appears to be more approximately normal
o Are there any outliers in the data? Include results of your investigation for outliers. Identify which class level has an outlier
o Comment on your assessment of normality.
o Which test will be most appropriate for the inferential statistics (confidence Interval)? Z-test or t-test? Why?
o Write an interpretation for the confidence interval estimate in context of the data.
o State the summary, interpretation and conclusion of your Investigation if there is a relationship between Age and performance in ACT Math score of undergraduate student at UVA.; Provide an equation can be used to predict ACT math score based on age; how reliable would the prediction be?
systems of linear equations
Three times one number minus a second is 8, and the sum of the numbers is 12. Which system of equations could be used to f ...
systems of linear equations
Three times one number minus a second is 8, and the sum of the numbers is 12. Which system of equations could be used to find the two numbers?o 3x - y = 8 xy = 12o 3x - y = 8 x + y = 12o y - 3x = 8 xy = 12o y - 3x = 8 x + y= 12One number is two more than a second number. Twice the first is 4 less than 3 times the second. Find the two numbers.o 3 and 4o 8 and 10o 0 and 2o 1.6 and 3.6Find how many quarts of 4% butterfat milk and 1% butterfat milk should be mixed to yield 60 quarts of 2% butter fat milk.o 20 quarts of 4% and 40 quarts of 1%o 40 quarts of 4% and 20 quarts of 1%o 60 quarts of 4% and 0 quarts of 1%o 30 quarts of 4% and 30 quarts of 1%The Fabulous Footballers scored an incredible 55 points at last night’s game. Interestingly, the number of field goals was 1 more than twice the number of touchdowns. The Fabulous Footballers earned 7 points for each touchdown and 3 points for each field goal.Which of the following systems of equations models this situation when t represents the number of touchdowns and f represents the number of field goals?o t = 2f + 1 7t +3f = 55o f = 2 t + 1 t + 3f = 55o t = 2f +1 3t + 7f = 55o f =2t +1 3t + 7f = 55Taylor and Jeff have been selling frozen pizzas for a class fundraiser. Taylor has sold half as many pizzas as Jeff. Together they have sold a total of 126 pizzas. How many pizzas did Taylor sell?o 21o 42o 63o 84Jack bought 3 slices of cheese pizza and 4 slices of mushroom pizza for a total cost of $12.50. Grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a total cost of $8.50. What is the cost of one slice of mushroom pizza?o $1.50o $2.00o $3.00o $3.50Find the values of x and y in the following isosceles triangle.o x = 47.5, y = 66.25o x = 0, y = 190o x = 5, y = 175o x = 40, y = 70How many units of x must be sold to break even if the cost function is C(x) = 30x + 10,000 and the revenue function is R(x) = 46x? Round to the nearest unit, if necessary.o 132 unitso 625 unitso 333 unitso 6522 unitsHow many units of x must be sold to break even if the cost function is C(x) = 0.8x + 900 and the revenue function is R(x) = 2x? Round to the nearest unit, if necessary. o 432 unitso 321 unitso 750 unitso 450 unitsThe planning department of Abstract Office Supplies has been asked to determine whether the company should introduce a new computer desk next year. The department estimates that $6000 of new manufacturing equipment will need to be purchased and that the cost of constructing each desk will be $200. The department also estimates that the revenue from each desk will be $450.Which cost function C(x) and revenue function R(x) can be used to model this scenario?o C(x) =6000x + 200 R(x) = 450xo C(x) = 200x + 6000x R(x) = 450xo C(x) = 450x + 6000 R(x) = 200xo C(x) = 200x + 6000 R(x)= 450x
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