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90 square feet
10 square feet
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MTH 410 CSUGC Data Representation & Events in A Company Questions
The research firm LL Research collected data from 200 client businesses. They want to determine how the businesses compare ...
MTH 410 CSUGC Data Representation & Events in A Company Questions
The research firm LL Research collected data from 200 client businesses. They want to determine how the businesses compare among four variables:
2015 Profit in millions of dollars
2016 Profit in millions of dollars
2015-2016 Two-Year Change in Daily Average Customer Visits
Two-Year Average Number of Employees
Data collected for the sample of 200 businesses is contained in the file named Businesses, linked at the bottom of the page. Be sure to use all 200 data points.
Managerial Report
Prepare a report (see below) using the numerical methods of descriptive statistics presented in this module to learn how each of the variables contributes to the success of a client’s business. Be sure to include the following three items in your report.
Compute descriptive sample statistics (mean, median, two quartiles Q1 and Q3 (using QUARTILE.EXC), minimum, maximum, range, interquartile range, sample standard deviation, and coefficient of variation) for each of the four variables along with an explanation of what the descriptive statistics tell us about the client businesses.
In this case, which measure of central tendency would be best for this application? Explain why.
Which measure of variation would be best for this application? Explain why.
How can one use the above descriptive statistics to understand the businesses better?
Which graphical displays of data would you use to help understand or complement the above descriptive statistics? Explain how and why.
Compute the percent change in profit from 2015 to 2016 for each business.
What would the percent change tell us in this application?
Then use the z-score to determine which businesses were outliers with respect to percent change in profit.
How would identifying outliers be useful in this application?
What advice might you give to businesses that are outliers?
How else would you determine outliers?
Compute the sample correlation coefficient, showing the relationship between percent change in profit and each of the other two variables (2015-2016 Two-Year Change in Daily Average Customer Visits and Two-Year Average Number of Employees).
Explain what the correlation coefficients tell us about the three pairs of relationships. Use tables, charts, or graphs to support your conclusions.
10 pages
20201201111517calculations 1
Note: Complete this worksheet by replacing the bracketed phrases in the response boxes with the You need to analyze three ...
20201201111517calculations 1
Note: Complete this worksheet by replacing the bracketed phrases in the response boxes with the You need to analyze three areas of the All-Store ...
Statistics
Answer all questions. Please show all necessary workConsider the following probability function P(x) = x / 15 for x =1, 2, ...
Statistics
Answer all questions. Please show all necessary workConsider the following probability function P(x) = x / 15 for x =1, 2, 3, 4, or 5.1. Form the probability distribution table.xP(x)2. Graph the probability histogram. 3. Find and .xP(x)X2P(x) 4. Find the mean of the probability distribution. 5. Find the variance of the probability distribution. 6. A carton containing 75 towels is inspected. Each towel is rated “first quality” or “irregular”. After all 100 towels are inspected, the number of irregulars is reported as a random variable. Explain why x is a binomial variableFour cards are selected, one at a time, from a standard deck of 52 cards. Let x represent the number of aces drawn in the set of 4 cards. 7. If this experiment is completed without replacement, explain why x is not a binomial random variable. 8. Find the mean and standard deviation of x = number of right-handed students in a classroom of 30 students. Assume that 10% of the population is left-handed. 9. The probability of success on a single trial of a binomial experiment is known to be 0.40. The random variable x, number of successes, has a mean value of 80. Find the number of trials involved in this experiment and the standard deviation of x.A doctor knows from experience that 20% of the patients to whom he gives a high blood pressure drug will have undesirable side effects. Assume the doctor gives that drug to ten of his patients. 10. Find the probability that among the ten patients to whom he gives the drug, at most two will have undesirable side effects. 11. Find the probability that among the ten patients to whom he gives the drug, at least three will have undesirable side effects. 12. Find the area under the standard normal curve to the left of z = 1.53. 13. Find the area under the standard normal curve between z = -1.42 and z =1.35. 14. The random variable z is the standard normal score. Find z as shown in the diagram below given that the area of the shaded region is 0.4927.Suppose that daycare costs are normally distributed with a mean equal to $12,000 a year and a standard deviation equal to $3,000. 15. What percentage of daycare centers will cost between $9,000 and $13,000? 16. Find the normal approximation for the binomial probability P(x = 8), where n = 15 and p = 0.3.Consider the set of numbers {4, 8, 10, 12}. 17. Make a list of all possible samples of size 2 that could be drawn with replacement fromthe above set of numbers. 18. Construct the sampling distribution of sample means for the samples in question 17.Suppose the annual consumption of chicken mean is 20.84 pounds per person, and that the standard deviation for the consumption of chicken per person is 9.193 pounds. The mean weight of chicken consumed for a sample of 200 randomly selected people is one value of many that form the sampling distribution of sample means. 19. What is the probability that this sample mean will be between 68 and 82?Assume that the population of heights of male college students is normally distributed with mean μ of 68 inches and standard deviation σ of 3.75 inches. A random sample of 16 heights is obtained. 20. Find the mean and standard error of the distribution.
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Most Popular Content
1 page
Trigonometrical Relations
This is a right angle triangle, it has exactly one 90 degree angle on the bottom left corner. In here we can see an obviou ...
Trigonometrical Relations
This is a right angle triangle, it has exactly one 90 degree angle on the bottom left corner. In here we can see an obviously longer side in front of ...
27 pages
Deliverable 4 Spring 2020 2 1
Adult Basic and Secondary Education and Literacy Teachers and Instructors Agents and Business Managers of Artists, Perform ...
Deliverable 4 Spring 2020 2 1
Adult Basic and Secondary Education and Literacy Teachers and Instructors Agents and Business Managers of Artists, Performers, and Athletes Control ...
MTH 410 CSUGC Data Representation & Events in A Company Questions
The research firm LL Research collected data from 200 client businesses. They want to determine how the businesses compare ...
MTH 410 CSUGC Data Representation & Events in A Company Questions
The research firm LL Research collected data from 200 client businesses. They want to determine how the businesses compare among four variables:
2015 Profit in millions of dollars
2016 Profit in millions of dollars
2015-2016 Two-Year Change in Daily Average Customer Visits
Two-Year Average Number of Employees
Data collected for the sample of 200 businesses is contained in the file named Businesses, linked at the bottom of the page. Be sure to use all 200 data points.
Managerial Report
Prepare a report (see below) using the numerical methods of descriptive statistics presented in this module to learn how each of the variables contributes to the success of a client’s business. Be sure to include the following three items in your report.
Compute descriptive sample statistics (mean, median, two quartiles Q1 and Q3 (using QUARTILE.EXC), minimum, maximum, range, interquartile range, sample standard deviation, and coefficient of variation) for each of the four variables along with an explanation of what the descriptive statistics tell us about the client businesses.
In this case, which measure of central tendency would be best for this application? Explain why.
Which measure of variation would be best for this application? Explain why.
How can one use the above descriptive statistics to understand the businesses better?
Which graphical displays of data would you use to help understand or complement the above descriptive statistics? Explain how and why.
Compute the percent change in profit from 2015 to 2016 for each business.
What would the percent change tell us in this application?
Then use the z-score to determine which businesses were outliers with respect to percent change in profit.
How would identifying outliers be useful in this application?
What advice might you give to businesses that are outliers?
How else would you determine outliers?
Compute the sample correlation coefficient, showing the relationship between percent change in profit and each of the other two variables (2015-2016 Two-Year Change in Daily Average Customer Visits and Two-Year Average Number of Employees).
Explain what the correlation coefficients tell us about the three pairs of relationships. Use tables, charts, or graphs to support your conclusions.
10 pages
20201201111517calculations 1
Note: Complete this worksheet by replacing the bracketed phrases in the response boxes with the You need to analyze three ...
20201201111517calculations 1
Note: Complete this worksheet by replacing the bracketed phrases in the response boxes with the You need to analyze three areas of the All-Store ...
Statistics
Answer all questions. Please show all necessary workConsider the following probability function P(x) = x / 15 for x =1, 2, ...
Statistics
Answer all questions. Please show all necessary workConsider the following probability function P(x) = x / 15 for x =1, 2, 3, 4, or 5.1. Form the probability distribution table.xP(x)2. Graph the probability histogram. 3. Find and .xP(x)X2P(x) 4. Find the mean of the probability distribution. 5. Find the variance of the probability distribution. 6. A carton containing 75 towels is inspected. Each towel is rated “first quality” or “irregular”. After all 100 towels are inspected, the number of irregulars is reported as a random variable. Explain why x is a binomial variableFour cards are selected, one at a time, from a standard deck of 52 cards. Let x represent the number of aces drawn in the set of 4 cards. 7. If this experiment is completed without replacement, explain why x is not a binomial random variable. 8. Find the mean and standard deviation of x = number of right-handed students in a classroom of 30 students. Assume that 10% of the population is left-handed. 9. The probability of success on a single trial of a binomial experiment is known to be 0.40. The random variable x, number of successes, has a mean value of 80. Find the number of trials involved in this experiment and the standard deviation of x.A doctor knows from experience that 20% of the patients to whom he gives a high blood pressure drug will have undesirable side effects. Assume the doctor gives that drug to ten of his patients. 10. Find the probability that among the ten patients to whom he gives the drug, at most two will have undesirable side effects. 11. Find the probability that among the ten patients to whom he gives the drug, at least three will have undesirable side effects. 12. Find the area under the standard normal curve to the left of z = 1.53. 13. Find the area under the standard normal curve between z = -1.42 and z =1.35. 14. The random variable z is the standard normal score. Find z as shown in the diagram below given that the area of the shaded region is 0.4927.Suppose that daycare costs are normally distributed with a mean equal to $12,000 a year and a standard deviation equal to $3,000. 15. What percentage of daycare centers will cost between $9,000 and $13,000? 16. Find the normal approximation for the binomial probability P(x = 8), where n = 15 and p = 0.3.Consider the set of numbers {4, 8, 10, 12}. 17. Make a list of all possible samples of size 2 that could be drawn with replacement fromthe above set of numbers. 18. Construct the sampling distribution of sample means for the samples in question 17.Suppose the annual consumption of chicken mean is 20.84 pounds per person, and that the standard deviation for the consumption of chicken per person is 9.193 pounds. The mean weight of chicken consumed for a sample of 200 randomly selected people is one value of many that form the sampling distribution of sample means. 19. What is the probability that this sample mean will be between 68 and 82?Assume that the population of heights of male college students is normally distributed with mean μ of 68 inches and standard deviation σ of 3.75 inches. A random sample of 16 heights is obtained. 20. Find the mean and standard error of the distribution.
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