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find the area of a rectangle with a length of x+3 meters and a width of 2x meters express your answer in terms of x
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Seattle University T Distribution Function Statistic Worksheet
1. Use the appropriate t-distribution function to answer the following questions. In your answer, please note the function ...
Seattle University T Distribution Function Statistic Worksheet
1. Use the appropriate t-distribution function to answer the following questions. In your answer, please note the function used and the arguments along with the answer (e.g. using T.INV.2T(0.05, 16) = 2.12.a. 99% of the values in a t distribution with 18 degrees of freedom will be less than or equal to ______.b. 1% of the values in a t distribution with 10 degrees of freedom will be greater than _____.c. 95% of the values in a t distribution with 14 degrees of freedom will be in the interval -_____ to +_____ around the center of the distribution.d. In a t distribution with 10 degrees of freedom, the probability that t is less than 1.5 is _____%.e. In a t distribution with 25 degrees of freedom, the probability that t is greater than 2 is _____%.2. Consider the variable "number living together."a. What is the mean number of people living together off-campus?b. What is the median number of people living together?c. What is the standard deviation of the number of people living together?d. Create a 95% confidence interval for the average number of people living together.e. Fully interpret the interval: what exactly does it tell you? 3. This question concerns the variable “individual rent,” which represents the individual’s share of the rent paid for off-campus housing. Note that many survey respondents did not report their individual rent. a. How many students in the survey reported the rent that they pay individually?b. What are the minimum and maximum individual rents paid by students in the sample?c. What is the average individual rent?d. What is the standard deviation of the rent? e. What percentage of survey respondents left this question blank? Is the fact that some students chose not to answer the question likely to bias the mean upward, downward, or not in any particular direction? Explain your answer. 4. This question asks you to consider the average cost of living off-campus.a. Build a 95% confidence interval for the mean rent paid individually by off-campus students.b. Use your answer to estimate how much a student living off-campus should budget each year for rent. Explain your answer.
Belchertown High School Competing Basketball Teams in ABC County Question
Four competing basketball teams in ABC county are competing to go to the state basketball championship. The team wit ...
Belchertown High School Competing Basketball Teams in ABC County Question
Four competing basketball teams in ABC county are competing to go to the state basketball championship. The team with the highest win rate will go to the championship. Which team would be selected to go?
A. Barracudas
B.Sharks
C.Sixers
D.Hawks
oerationational research
You’ve been asked to conduct a quick survey of potential candidates (in the hiring/available database) to see how they f ...
oerationational research
You’ve been asked to conduct a quick survey of potential candidates (in the hiring/available database) to see how they fared at their last full time job. Your survey results are contained in the ‘Wage’ excel worksheet. As an analyst/researcher, you must now do a few things before presenting the findings to the executive team:
There are 8 questions in total, each worth 12.5 points. Please upload your answers to the dropbox be
There are 8 questions in total, each worth 12.5 points. Please upload your answers to the dropbox below.
Question 1 ...
There are 8 questions in total, each worth 12.5 points. Please upload your answers to the dropbox be
There are 8 questions in total, each worth 12.5 points. Please upload your answers to the dropbox below.
Question 1
The following shows the temperatures (high, low) and weather conditions in a given Sunday for some selected world cities. For the weather conditions, the following notations are used: c = clear; cl = cloudy; sh = showers; pc = partly cloudy.
1.How many elements are in this data set?
2.How many variables are in this data set?
3.How many observations are in this data set?
4.Name the variables and indicate whether they are categorical or quantitative.
Question 2
A student has completed 20 courses in the School of Arts and Sciences. Her grades in the 20 courses are shown below.
1.Develop a frequency distribution and a bar chart for her grades.
2.Develop a relative frequency distribution for her grades and construct a pie chart.
Question 3
The number of hours worked per week for a sample of ten students is shown below.
1.Determine the median and explain its meaning.
2.Compute the 70th percentile and explain its meaning.
3.What is the mode of the above data? What does it signify?
Question 4
You are given the following information on Events A, B, C, and D.
1.Compute P(D).
2.Compute P(A ∩ B).
3.Compute P(A | C).
4.Compute the probability of the complement of C.
5.Are A and B mutually exclusive? Explain your answer.
6.Are A and B independent? Explain your answer.
7.Are A and C mutually exclusive? Explain your answer.
8.Are A and C independent? Explain your answer.
Question 5
1.When a particular machine is functioning properly, 80% of the items produced are non-defective.
2.If three items are examined, what is the probability that one is defective?
3.Use the binomial probability function to answer this question.
Question 6
The average starting salary of this year’s graduates of a large university (LU) is $20,000 with a standard deviation of $8,000. Furthermore, it is known that the starting salaries are normally distributed.
1.What is the probability that a randomly selected LU graduate will have a starting salary of at least $30,400?
2.Individuals with starting salaries of less than $15,600 receive a low income tax break. What percentage of the graduates will receive the tax break?
3.What are the minimum and the maximum starting salaries of the middle 95.4% of the LU graduates?
Question 7
A simple random sample of 6 computer programmers in Houston, Texas revealed the sex of the programmers and the following information about their weekly incomes.
1.What is the point estimate for the average weekly income of all the computer programmers in Houston?
2.What is the point estimate for the standard deviation of the population?
3.Determine a point estimate for the proportion of all programmers in Houston who are female.
Question 8
Students of a large university spend an average of $5 a day on lunch. The standard deviation of the expenditure is $3. A simple random sample of 36 students is taken.
1.What are the expected value, standard deviation, and shape of the sampling distribution of the sample mean?
2.What is the probability that the sample mean will be at least $4?
3.What is the probability that the sample mean will be at least $5.90?
Grading Criteria Assignments Maximum Points
Meets or exceeds established assignment criteria 40
Demonstrates an understanding of lesson concepts 20
Clearly presents well-reasoned ideas and concepts 30
Uses proper mechanics, punctuation, sentence structure, and spelling 10
Total 100
translating trigonometric graphs, multiple choice help
Which of the following functions represents the graph of y = 2 cosΘ translated 90 degrees left and 1 unit down?y = 2 cos ...
translating trigonometric graphs, multiple choice help
Which of the following functions represents the graph of y = 2 cosΘ translated 90 degrees left and 1 unit down?y = 2 cos (Θ - 90°) - 1y = 2 cos (Θ + 90°) - 1y = 2 cos (Θ - 90°) + 1y = 2 cos (Θ + 90°) + 1===========Which of the following functions represents the graph of y = 3 tanΘ translated to the right and 3 units down?A. B. C. D. =============Identify the equation of the midline for the function below.y = π/2y = -π/2y = 4y = -4================Identify the equation of the midline for the function below?y = 3sec (Θ - 2) + 3y = 2y = -2y = 3y = -3=====================Identify the phase shift for the function shown below.π/4 to the leftπ/8 to the leftπ/4 to the rightπ/8 to the right=================Identify the phase shift for the function shown below.30 degrees to the left30 degrees to the right20 degrees to the left20 degrees to the right-----------------------------------Which of the following functions is shown in the graph below?A. B. C. D. ==============Which of the following graph shows the function below?A.B.C.D.---------------------------The population of predators and prey in a closed ecological system tends to vary periodically over time. In a certain system, the population of owls O can be represented by where t is the time in years since January 1, 2001. In that same system, the population of mice M can be represented by . What is the maximum number of mice and how many years does it take to reach this population for the first time?500 mice, 14 years500 mice, 7 years700 mice, 14 years700 mice, 7 years=====================The population of predators and prey in a closed ecological system tends to vary periodically over time. In a certain system, the population of owls O can be represented by where t is the time in years since January 1, 2001. In that same system, the population of mice M can be represented by . What is the maximum number of owls and how many years does it take to reach this population for the first time?120 owls, 15 years120 owls, 7.5 years135 owls, 15 years135 owls, 7.5 years
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Most Popular Content
Seattle University T Distribution Function Statistic Worksheet
1. Use the appropriate t-distribution function to answer the following questions. In your answer, please note the function ...
Seattle University T Distribution Function Statistic Worksheet
1. Use the appropriate t-distribution function to answer the following questions. In your answer, please note the function used and the arguments along with the answer (e.g. using T.INV.2T(0.05, 16) = 2.12.a. 99% of the values in a t distribution with 18 degrees of freedom will be less than or equal to ______.b. 1% of the values in a t distribution with 10 degrees of freedom will be greater than _____.c. 95% of the values in a t distribution with 14 degrees of freedom will be in the interval -_____ to +_____ around the center of the distribution.d. In a t distribution with 10 degrees of freedom, the probability that t is less than 1.5 is _____%.e. In a t distribution with 25 degrees of freedom, the probability that t is greater than 2 is _____%.2. Consider the variable "number living together."a. What is the mean number of people living together off-campus?b. What is the median number of people living together?c. What is the standard deviation of the number of people living together?d. Create a 95% confidence interval for the average number of people living together.e. Fully interpret the interval: what exactly does it tell you? 3. This question concerns the variable “individual rent,” which represents the individual’s share of the rent paid for off-campus housing. Note that many survey respondents did not report their individual rent. a. How many students in the survey reported the rent that they pay individually?b. What are the minimum and maximum individual rents paid by students in the sample?c. What is the average individual rent?d. What is the standard deviation of the rent? e. What percentage of survey respondents left this question blank? Is the fact that some students chose not to answer the question likely to bias the mean upward, downward, or not in any particular direction? Explain your answer. 4. This question asks you to consider the average cost of living off-campus.a. Build a 95% confidence interval for the mean rent paid individually by off-campus students.b. Use your answer to estimate how much a student living off-campus should budget each year for rent. Explain your answer.
Belchertown High School Competing Basketball Teams in ABC County Question
Four competing basketball teams in ABC county are competing to go to the state basketball championship. The team wit ...
Belchertown High School Competing Basketball Teams in ABC County Question
Four competing basketball teams in ABC county are competing to go to the state basketball championship. The team with the highest win rate will go to the championship. Which team would be selected to go?
A. Barracudas
B.Sharks
C.Sixers
D.Hawks
oerationational research
You’ve been asked to conduct a quick survey of potential candidates (in the hiring/available database) to see how they f ...
oerationational research
You’ve been asked to conduct a quick survey of potential candidates (in the hiring/available database) to see how they fared at their last full time job. Your survey results are contained in the ‘Wage’ excel worksheet. As an analyst/researcher, you must now do a few things before presenting the findings to the executive team:
There are 8 questions in total, each worth 12.5 points. Please upload your answers to the dropbox be
There are 8 questions in total, each worth 12.5 points. Please upload your answers to the dropbox below.
Question 1 ...
There are 8 questions in total, each worth 12.5 points. Please upload your answers to the dropbox be
There are 8 questions in total, each worth 12.5 points. Please upload your answers to the dropbox below.
Question 1
The following shows the temperatures (high, low) and weather conditions in a given Sunday for some selected world cities. For the weather conditions, the following notations are used: c = clear; cl = cloudy; sh = showers; pc = partly cloudy.
1.How many elements are in this data set?
2.How many variables are in this data set?
3.How many observations are in this data set?
4.Name the variables and indicate whether they are categorical or quantitative.
Question 2
A student has completed 20 courses in the School of Arts and Sciences. Her grades in the 20 courses are shown below.
1.Develop a frequency distribution and a bar chart for her grades.
2.Develop a relative frequency distribution for her grades and construct a pie chart.
Question 3
The number of hours worked per week for a sample of ten students is shown below.
1.Determine the median and explain its meaning.
2.Compute the 70th percentile and explain its meaning.
3.What is the mode of the above data? What does it signify?
Question 4
You are given the following information on Events A, B, C, and D.
1.Compute P(D).
2.Compute P(A ∩ B).
3.Compute P(A | C).
4.Compute the probability of the complement of C.
5.Are A and B mutually exclusive? Explain your answer.
6.Are A and B independent? Explain your answer.
7.Are A and C mutually exclusive? Explain your answer.
8.Are A and C independent? Explain your answer.
Question 5
1.When a particular machine is functioning properly, 80% of the items produced are non-defective.
2.If three items are examined, what is the probability that one is defective?
3.Use the binomial probability function to answer this question.
Question 6
The average starting salary of this year’s graduates of a large university (LU) is $20,000 with a standard deviation of $8,000. Furthermore, it is known that the starting salaries are normally distributed.
1.What is the probability that a randomly selected LU graduate will have a starting salary of at least $30,400?
2.Individuals with starting salaries of less than $15,600 receive a low income tax break. What percentage of the graduates will receive the tax break?
3.What are the minimum and the maximum starting salaries of the middle 95.4% of the LU graduates?
Question 7
A simple random sample of 6 computer programmers in Houston, Texas revealed the sex of the programmers and the following information about their weekly incomes.
1.What is the point estimate for the average weekly income of all the computer programmers in Houston?
2.What is the point estimate for the standard deviation of the population?
3.Determine a point estimate for the proportion of all programmers in Houston who are female.
Question 8
Students of a large university spend an average of $5 a day on lunch. The standard deviation of the expenditure is $3. A simple random sample of 36 students is taken.
1.What are the expected value, standard deviation, and shape of the sampling distribution of the sample mean?
2.What is the probability that the sample mean will be at least $4?
3.What is the probability that the sample mean will be at least $5.90?
Grading Criteria Assignments Maximum Points
Meets or exceeds established assignment criteria 40
Demonstrates an understanding of lesson concepts 20
Clearly presents well-reasoned ideas and concepts 30
Uses proper mechanics, punctuation, sentence structure, and spelling 10
Total 100
translating trigonometric graphs, multiple choice help
Which of the following functions represents the graph of y = 2 cosΘ translated 90 degrees left and 1 unit down?y = 2 cos ...
translating trigonometric graphs, multiple choice help
Which of the following functions represents the graph of y = 2 cosΘ translated 90 degrees left and 1 unit down?y = 2 cos (Θ - 90°) - 1y = 2 cos (Θ + 90°) - 1y = 2 cos (Θ - 90°) + 1y = 2 cos (Θ + 90°) + 1===========Which of the following functions represents the graph of y = 3 tanΘ translated to the right and 3 units down?A. B. C. D. =============Identify the equation of the midline for the function below.y = π/2y = -π/2y = 4y = -4================Identify the equation of the midline for the function below?y = 3sec (Θ - 2) + 3y = 2y = -2y = 3y = -3=====================Identify the phase shift for the function shown below.π/4 to the leftπ/8 to the leftπ/4 to the rightπ/8 to the right=================Identify the phase shift for the function shown below.30 degrees to the left30 degrees to the right20 degrees to the left20 degrees to the right-----------------------------------Which of the following functions is shown in the graph below?A. B. C. D. ==============Which of the following graph shows the function below?A.B.C.D.---------------------------The population of predators and prey in a closed ecological system tends to vary periodically over time. In a certain system, the population of owls O can be represented by where t is the time in years since January 1, 2001. In that same system, the population of mice M can be represented by . What is the maximum number of mice and how many years does it take to reach this population for the first time?500 mice, 14 years500 mice, 7 years700 mice, 14 years700 mice, 7 years=====================The population of predators and prey in a closed ecological system tends to vary periodically over time. In a certain system, the population of owls O can be represented by where t is the time in years since January 1, 2001. In that same system, the population of mice M can be represented by . What is the maximum number of owls and how many years does it take to reach this population for the first time?120 owls, 15 years120 owls, 7.5 years135 owls, 15 years135 owls, 7.5 years
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