Description
solve the compound inequality for "and"
3x+4<22 and 4x-5<=7
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Explanation & Answer
3x+4<22 and 4x-5<=7
<=> x<6 and x<=3
<=> x<=3
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The Loans data set is correctly imported into a data frame in R Studio. A screenshot showing this is provided an ...
R Studio Data Set Analysis Loans Data
The Loans data set is correctly imported into a data frame in R Studio. A screenshot showing this is provided and labeled.A correctly generated power test is generated for a t-test of significant differences on the Make Loan variable as determined by Monthly Income. A screenshot of the power test is provided and labeled, and a correct and complete explanation of the power test results is given.A correctly generated power test is generated for an ANOVA of significant differences on the Lines of Credit variable. A screenshot of the power test is provided and labeled, and a correct and complete explanation of the power test results is given.A correctly generated power test is generated for a correlation of significant differences on the numeric variables (except Applicant ID). A screenshot of the power test is provided and labeled, and a correct and complete explanation of the power test results is given.A screen shot is needed for each step. The data set will be provided.
MTH 156 Hypothesis testing: Null and Alternative Hypothesis Discussion
Share with your peers the null and alternative hypotheses for a decision that is relevant to your personal or professional ...
MTH 156 Hypothesis testing: Null and Alternative Hypothesis Discussion
Share with your peers the null and alternative hypotheses for a decision that is relevant to your personal or professional life. Remember in hypothesis testing the "equals" part will be with the null hypothesis, so you can have less than or equal to, greater than or equal to, or just equal to when defining the null hypothesis. The alternative hypothesis will be, then, either greater than, less than, or not equal to in relation to the above null criteria. See below for how it looks symbolically for the three possible setups.I. H0: μ ≥ μ0 Ha: μ < μ0II. H0: μ ≤ μ0 Ha: μ > μ0III. H0: μ = μ0 Ha: μ ≠ μ0Note that a hypothesis test needs to be set up to be testable, so be sure to have it presented in a manner where you are testing the μ0 value. Additionally, identify the Type I and Type II errors that could occur with your decision‐making process.
MATH302 Statistics
Assignment InstructionsA marketing company based out of New York City is doing well and is looking to expand international ...
MATH302 Statistics
Assignment InstructionsA marketing company based out of New York City is doing well and is looking to expand internationally. The CEO and VP of Operations decide to enlist the help of a consulting firm that you work for, to help collect data and analyze market trends. You work for Mercer Human Resources. The Mercer Human Resource Consulting website (www.mercer.com) lists prices of certain items in selected cities around the world. They also report an overall cost-of-living index for each city compared to the costs of hundreds of items in New York City (NYC). For example, London at 88.33 is 11.67% less expensive than NYC.More specifically, if you choose to explore the website further you will find a lot of fun and interesting data. You can explore the website more on your own after the course concludes.https://mobilityexchange.mercer.com/Insights/cost-of-living-rankings#rankingsIn the Excel document, you will find the 2018 data for 17 cities in the data set Cost of Living. Included are the 2018 cost of living index, cost of a 3-bedroom apartment (per month), price of monthly transportation pass, price of a mid-range bottle of wine, price of a loaf of bread (1 lb.), the price of a gallon of milk and price for a 12 oz. cup of black coffee. All prices are in U.S. dollars.You use this information to run a Multiple Linear Regression to predict Cost of living, along with calculating various descriptive statistics. This is given in the Excel output (that is, the MLR has already been calculated. Your task is to interpret the data). Based on this information, in which city should you open a second office in? You must justify your answer. If you want to recommend 2 or 3 different cities and rank them based on the data and your findings, this is fine as well. This should be ¾ to 1 page, no more than 1 single-spaced page in length, using 12-point Times New Roman font. You do not need to do any calculations, but you do need to pick a city to open a second location at and justify your answer based upon the provided results of the Multiple Linear Regression. Think of this assignment as the first page of a much longer report, known as an Executive Summary, that essentially summarizes your findings briefly and at a high level. This needs to be written up neatly and professionally. This would be something you would present at a board meeting in a corporate environment.What is an Executive Summary?To help you make this decision here are some things to consider:Based on the MLR output, what variable(s) is/are significant? From the significant predictors, review the mean, median, min, max, Q1 and Q3 values? It might be a good idea to compare these values to what the New York value is for that variable. Remember New York is the baseline as that is where headquarters are located.Based on the descriptive statistics, for the significant predictors, what city/cities has the best potential? What city or cities fall above or below the median and/or the mean? What city or cities are in the upper 3rd quartile? Or the bottom quartile? These are some things to consider not necessarily questions you need to answer in your Executive Summary. But they are questions to help guide you along in your analysis.Supporting Materials Math 302 Final Project.xlsx (15 KB)
Statistics problems
Word document with questions is also attached, and answers must be put into the attached answer sheet. 1.True or False. Ju ...
Statistics problems
Word document with questions is also attached, and answers must be put into the attached answer sheet. 1.True or False. Justify for full credit.(a) If the variance of a data set is zero, then all the observations in this data set are zero. (b) If P(A) = 0.4 , P(B) = 0.5, and A and B are disjoint, then P(A AND B) = 0.9.(c)Assume X follows a continuous distribution which is symmetric about 0.If , then . (d)A 95% confidence interval is wider than a 90% confidence interval of the same parameter. (e)In a right-tailed test, the value of the test statistic is 1.5. If we know the test statistic follows a Student’s t-distribution with P(T < 1.5) = 0.96, then we fail to reject the null hypothesis at 0.05 level of significance .Refer to the following frequency distribution for Questions 2, 3, 4, and 5. Show all work. Just the answer, without supporting work, will receive no credit. The frequency distribution below shows the distribution for checkout time (in minutes) in UMUC MiniMart between 3:00 and 4:00 PM on a Friday afternoon. Checkout Time (in minutes) Frequency Relative Frequency 1.0 - 1.9 3 2.0 - 2.9 12 3.0 - 3.9 0.20 4.0 - 4.9 3 5.0 -5.9 Total 25 2.Complete the frequency table with frequency and relative frequency. Express the relative frequency to two decimal places. 3.What percentage of the checkout times was at least 3 minutes?4.In what class interval must the median lie?Explain your answer.5.Does this distribution have positive skew or negative skew? Why?Refer to the following information for Questions 6 and 7.Show all work. Just the answer, without supporting work, will receive no credit. Consider selecting one card at a time from a 52-card deck.(Note: There are 4 aces in a deck of cards) 6.If the card selection is with replacement, what is the probability that the first card is an ace and the second card is also an ace?(Express the answer in simplest fraction form) 7.If the card selection is without replacement, what is the probability that the first card is an ace and the second card is also an ace?(Express the answer in simplest fraction form) Refer to the following situation for Questions 8, 9, and 10. The five-number summary below shows the grade distribution of two STAT 200 quizzes for a sample of 500 students. Minimum Q1 Median Q3 Maximum Quiz 1 15 30 55 85 100 Quiz 2 20 35 50 90 100 For each question, give your answer as one of the following:(a) Quiz 1; (b) Quiz 2; (c) Both quizzes have the same value requested; (d) It is impossible to tell using only the given information. Then explain your answer in each case.8.Which quiz has less interquartile range in grade distribution?9.Which quiz has the greater percentage of students with grades 90 and over?10.Which quiz has a greater percentage of students with grades less than 60?Refer to the following information for Questions 11, 12, and 13. Show all work. Just the answer, without supporting work, will receive no credit. There are 1000 students in a high school.Among the 1000 students, 800 students have a laptop, and 300 students have a tablet.250 students have both devices.11.What is the probability that a randomly selected student has neither device?12.What is the probability that a randomly selected student has a laptop, given that he/she has a tablet?13.Let event A be the selected student having a laptop, and event B be the selected student having a tablet. Are A and B independent events?Why or why not?14.A combination lock uses three distinctive numbers between 0 and 39 inclusive.How many different ways can a sequence of three numbers be selected? (Show work)15.Let random variable x represent the number of heads when a fair coin is tossed three times.Show all work. Just the answer, without supporting work, will receive no credit. (a)Construct a table describing the probability distribution. (b)( Determine the mean and standard deviation of x. (Round the answer to two decimal places) 16.Mimi just started her tennis class three weeks ago. On average, she is able to return 20% of her opponent’s serves.Assume her opponent serves 10 times.(a)Let X be the number of returns that Mimi gets.As we know, the distribution of X is a binomial probability distribution. What is the number of trials (n), probability of successes (p) and probability of failures (q), respectively? (b)Find the probability that that she returns at least 1 of the 10 serves from her opponent. (Show work) Refer to the following information for Questions 17, 18, and 19. Show all work. Just the answer, without supporting work, will receive no credit. The lengths of mature jalapeño fruits are normally distributed with a mean of 3 inches and a standard deviation of 1 inch.17.What is the probability that a randomly selected mature jalapeño fruit is between 1.5 and 4 inches long?18.Find the 90th percentile of the jalapeño fruit length distribution.19. If a random sample of 100 mature jalapeño fruits is selected, what is the standard deviation of the sample mean? 20.A random sample of 100 light bulbs has a mean lifetime of 3000 hours. Assume that the population standard deviation of the lifetime is 500 hours. Construct a 95% confidence interval estimate of the mean lifetime. Show all work. Just the answer, without supporting work, will receive no credit. 21.Consider the hypothesis test given byH p0 : 0.5 H p1 : 0.5In a random sample of 625 subjects, the sample proportion is found to be pˆ 0.55. (a)Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit. (b)Determine the P-value for this test.Show all work; writing the correct P-value, without supporting work, will receive no credit.(c)Is there sufficient evidence to justify the rejection of H0 at the 0.01 level? Explain. 22.Consumption of large amounts of alcohol is known to increase reaction time. To investigate the effects of small amounts of alcohol, reaction time was recorded for five individuals before and after the consumption of 2 ounces of alcohol.Do the data below suggest that consumption of 2 ounces of alcohol increases mean reaction time? Reaction Time (seconds) Subject Before After 1 6 7 2 8 8 3 4 6 4 7 9 5 9 8 Assume we want to use a 0.05 significance level to test the claim. (a) Identify the null hypothesis and the alternative hypothesis.(b)Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit. (c)Determine the P-value. Show all work; writing the correct P-value, without supporting work, will receive no credit. (d) Is there sufficient evidence to support the claim that consumption of 2 ounces of alcohol increases mean reaction time? Justify your conclusion. 23.The UMUC MiniMart sells five different types of coffee mugs.The manager reports that the five types are equally popular.Suppose that a sample of 500 purchases yields observed counts 120, 90, 110, 100, and 80 for types 1, 2, 3, 4, and 5, respectively. Type 1 2 3 4 5 Number of Mugs 120 90 110 100 80 Assume we want to use a 0.05 significance level to test the claim that the five types are equally popular. (a)Identify the null hypothesis and the alternative hypothesis.(b)Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit. (c)Determine the P-value for the test. Show all work; writing the correct P-value, without supporting work, will receive no credit.(d)Is there sufficient evidence to support the manager’s claim that the four types are equally popular? Justify your answer.24.A random sample of 4 professional athletes produced the following data where x is the number of endorsements the player has and y is the amount of money made (in millions of dollars). x 0 1 3 5 y 1 2 5 8 (a)Find an equation of the least squares regression line.Show all work; writing the correct equation, without supporting work, will receive no credit.(b)Based on the equation from part (a), what is the predicted value of y if x = 2?Show all work and justify your answer.25. A STAT 200 instructor is interested in whether there is any variation in the final exam grades between her two classesData collected from the two classes are as follows: Her null hypothesis and alternative hypothesis are: (a)Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit. (b)Determine the P-value for this test.Show all work; writing the correct P-value, without supporting work, will receive no credit.(c)Is there sufficient evidence to justify the rejection of H0 at the significance level of 0.05? Explain.
Liberty University Compute the Sample Standard Deviation Statistics Questions
I will attach the questions that need answered. Questions 32-36 and 38-47 and 49
Liberty University Compute the Sample Standard Deviation Statistics Questions
I will attach the questions that need answered. Questions 32-36 and 38-47 and 49
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Factor Analysis
Surveys are vital in gaining insights into individuals' perceptions, attitudes, and beliefs on various issues. Factor anal ...
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Surveys are vital in gaining insights into individuals' perceptions, attitudes, and beliefs on various issues. Factor analysis is useful in extracting ...
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The Loans data set is correctly imported into a data frame in R Studio. A screenshot showing this is provided an ...
R Studio Data Set Analysis Loans Data
The Loans data set is correctly imported into a data frame in R Studio. A screenshot showing this is provided and labeled.A correctly generated power test is generated for a t-test of significant differences on the Make Loan variable as determined by Monthly Income. A screenshot of the power test is provided and labeled, and a correct and complete explanation of the power test results is given.A correctly generated power test is generated for an ANOVA of significant differences on the Lines of Credit variable. A screenshot of the power test is provided and labeled, and a correct and complete explanation of the power test results is given.A correctly generated power test is generated for a correlation of significant differences on the numeric variables (except Applicant ID). A screenshot of the power test is provided and labeled, and a correct and complete explanation of the power test results is given.A screen shot is needed for each step. The data set will be provided.
MTH 156 Hypothesis testing: Null and Alternative Hypothesis Discussion
Share with your peers the null and alternative hypotheses for a decision that is relevant to your personal or professional ...
MTH 156 Hypothesis testing: Null and Alternative Hypothesis Discussion
Share with your peers the null and alternative hypotheses for a decision that is relevant to your personal or professional life. Remember in hypothesis testing the "equals" part will be with the null hypothesis, so you can have less than or equal to, greater than or equal to, or just equal to when defining the null hypothesis. The alternative hypothesis will be, then, either greater than, less than, or not equal to in relation to the above null criteria. See below for how it looks symbolically for the three possible setups.I. H0: μ ≥ μ0 Ha: μ < μ0II. H0: μ ≤ μ0 Ha: μ > μ0III. H0: μ = μ0 Ha: μ ≠ μ0Note that a hypothesis test needs to be set up to be testable, so be sure to have it presented in a manner where you are testing the μ0 value. Additionally, identify the Type I and Type II errors that could occur with your decision‐making process.
MATH302 Statistics
Assignment InstructionsA marketing company based out of New York City is doing well and is looking to expand international ...
MATH302 Statistics
Assignment InstructionsA marketing company based out of New York City is doing well and is looking to expand internationally. The CEO and VP of Operations decide to enlist the help of a consulting firm that you work for, to help collect data and analyze market trends. You work for Mercer Human Resources. The Mercer Human Resource Consulting website (www.mercer.com) lists prices of certain items in selected cities around the world. They also report an overall cost-of-living index for each city compared to the costs of hundreds of items in New York City (NYC). For example, London at 88.33 is 11.67% less expensive than NYC.More specifically, if you choose to explore the website further you will find a lot of fun and interesting data. You can explore the website more on your own after the course concludes.https://mobilityexchange.mercer.com/Insights/cost-of-living-rankings#rankingsIn the Excel document, you will find the 2018 data for 17 cities in the data set Cost of Living. Included are the 2018 cost of living index, cost of a 3-bedroom apartment (per month), price of monthly transportation pass, price of a mid-range bottle of wine, price of a loaf of bread (1 lb.), the price of a gallon of milk and price for a 12 oz. cup of black coffee. All prices are in U.S. dollars.You use this information to run a Multiple Linear Regression to predict Cost of living, along with calculating various descriptive statistics. This is given in the Excel output (that is, the MLR has already been calculated. Your task is to interpret the data). Based on this information, in which city should you open a second office in? You must justify your answer. If you want to recommend 2 or 3 different cities and rank them based on the data and your findings, this is fine as well. This should be ¾ to 1 page, no more than 1 single-spaced page in length, using 12-point Times New Roman font. You do not need to do any calculations, but you do need to pick a city to open a second location at and justify your answer based upon the provided results of the Multiple Linear Regression. Think of this assignment as the first page of a much longer report, known as an Executive Summary, that essentially summarizes your findings briefly and at a high level. This needs to be written up neatly and professionally. This would be something you would present at a board meeting in a corporate environment.What is an Executive Summary?To help you make this decision here are some things to consider:Based on the MLR output, what variable(s) is/are significant? From the significant predictors, review the mean, median, min, max, Q1 and Q3 values? It might be a good idea to compare these values to what the New York value is for that variable. Remember New York is the baseline as that is where headquarters are located.Based on the descriptive statistics, for the significant predictors, what city/cities has the best potential? What city or cities fall above or below the median and/or the mean? What city or cities are in the upper 3rd quartile? Or the bottom quartile? These are some things to consider not necessarily questions you need to answer in your Executive Summary. But they are questions to help guide you along in your analysis.Supporting Materials Math 302 Final Project.xlsx (15 KB)
Statistics problems
Word document with questions is also attached, and answers must be put into the attached answer sheet. 1.True or False. Ju ...
Statistics problems
Word document with questions is also attached, and answers must be put into the attached answer sheet. 1.True or False. Justify for full credit.(a) If the variance of a data set is zero, then all the observations in this data set are zero. (b) If P(A) = 0.4 , P(B) = 0.5, and A and B are disjoint, then P(A AND B) = 0.9.(c)Assume X follows a continuous distribution which is symmetric about 0.If , then . (d)A 95% confidence interval is wider than a 90% confidence interval of the same parameter. (e)In a right-tailed test, the value of the test statistic is 1.5. If we know the test statistic follows a Student’s t-distribution with P(T < 1.5) = 0.96, then we fail to reject the null hypothesis at 0.05 level of significance .Refer to the following frequency distribution for Questions 2, 3, 4, and 5. Show all work. Just the answer, without supporting work, will receive no credit. The frequency distribution below shows the distribution for checkout time (in minutes) in UMUC MiniMart between 3:00 and 4:00 PM on a Friday afternoon. Checkout Time (in minutes) Frequency Relative Frequency 1.0 - 1.9 3 2.0 - 2.9 12 3.0 - 3.9 0.20 4.0 - 4.9 3 5.0 -5.9 Total 25 2.Complete the frequency table with frequency and relative frequency. Express the relative frequency to two decimal places. 3.What percentage of the checkout times was at least 3 minutes?4.In what class interval must the median lie?Explain your answer.5.Does this distribution have positive skew or negative skew? Why?Refer to the following information for Questions 6 and 7.Show all work. Just the answer, without supporting work, will receive no credit. Consider selecting one card at a time from a 52-card deck.(Note: There are 4 aces in a deck of cards) 6.If the card selection is with replacement, what is the probability that the first card is an ace and the second card is also an ace?(Express the answer in simplest fraction form) 7.If the card selection is without replacement, what is the probability that the first card is an ace and the second card is also an ace?(Express the answer in simplest fraction form) Refer to the following situation for Questions 8, 9, and 10. The five-number summary below shows the grade distribution of two STAT 200 quizzes for a sample of 500 students. Minimum Q1 Median Q3 Maximum Quiz 1 15 30 55 85 100 Quiz 2 20 35 50 90 100 For each question, give your answer as one of the following:(a) Quiz 1; (b) Quiz 2; (c) Both quizzes have the same value requested; (d) It is impossible to tell using only the given information. Then explain your answer in each case.8.Which quiz has less interquartile range in grade distribution?9.Which quiz has the greater percentage of students with grades 90 and over?10.Which quiz has a greater percentage of students with grades less than 60?Refer to the following information for Questions 11, 12, and 13. Show all work. Just the answer, without supporting work, will receive no credit. There are 1000 students in a high school.Among the 1000 students, 800 students have a laptop, and 300 students have a tablet.250 students have both devices.11.What is the probability that a randomly selected student has neither device?12.What is the probability that a randomly selected student has a laptop, given that he/she has a tablet?13.Let event A be the selected student having a laptop, and event B be the selected student having a tablet. Are A and B independent events?Why or why not?14.A combination lock uses three distinctive numbers between 0 and 39 inclusive.How many different ways can a sequence of three numbers be selected? (Show work)15.Let random variable x represent the number of heads when a fair coin is tossed three times.Show all work. Just the answer, without supporting work, will receive no credit. (a)Construct a table describing the probability distribution. (b)( Determine the mean and standard deviation of x. (Round the answer to two decimal places) 16.Mimi just started her tennis class three weeks ago. On average, she is able to return 20% of her opponent’s serves.Assume her opponent serves 10 times.(a)Let X be the number of returns that Mimi gets.As we know, the distribution of X is a binomial probability distribution. What is the number of trials (n), probability of successes (p) and probability of failures (q), respectively? (b)Find the probability that that she returns at least 1 of the 10 serves from her opponent. (Show work) Refer to the following information for Questions 17, 18, and 19. Show all work. Just the answer, without supporting work, will receive no credit. The lengths of mature jalapeño fruits are normally distributed with a mean of 3 inches and a standard deviation of 1 inch.17.What is the probability that a randomly selected mature jalapeño fruit is between 1.5 and 4 inches long?18.Find the 90th percentile of the jalapeño fruit length distribution.19. If a random sample of 100 mature jalapeño fruits is selected, what is the standard deviation of the sample mean? 20.A random sample of 100 light bulbs has a mean lifetime of 3000 hours. Assume that the population standard deviation of the lifetime is 500 hours. Construct a 95% confidence interval estimate of the mean lifetime. Show all work. Just the answer, without supporting work, will receive no credit. 21.Consider the hypothesis test given byH p0 : 0.5 H p1 : 0.5In a random sample of 625 subjects, the sample proportion is found to be pˆ 0.55. (a)Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit. (b)Determine the P-value for this test.Show all work; writing the correct P-value, without supporting work, will receive no credit.(c)Is there sufficient evidence to justify the rejection of H0 at the 0.01 level? Explain. 22.Consumption of large amounts of alcohol is known to increase reaction time. To investigate the effects of small amounts of alcohol, reaction time was recorded for five individuals before and after the consumption of 2 ounces of alcohol.Do the data below suggest that consumption of 2 ounces of alcohol increases mean reaction time? Reaction Time (seconds) Subject Before After 1 6 7 2 8 8 3 4 6 4 7 9 5 9 8 Assume we want to use a 0.05 significance level to test the claim. (a) Identify the null hypothesis and the alternative hypothesis.(b)Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit. (c)Determine the P-value. Show all work; writing the correct P-value, without supporting work, will receive no credit. (d) Is there sufficient evidence to support the claim that consumption of 2 ounces of alcohol increases mean reaction time? Justify your conclusion. 23.The UMUC MiniMart sells five different types of coffee mugs.The manager reports that the five types are equally popular.Suppose that a sample of 500 purchases yields observed counts 120, 90, 110, 100, and 80 for types 1, 2, 3, 4, and 5, respectively. Type 1 2 3 4 5 Number of Mugs 120 90 110 100 80 Assume we want to use a 0.05 significance level to test the claim that the five types are equally popular. (a)Identify the null hypothesis and the alternative hypothesis.(b)Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit. (c)Determine the P-value for the test. Show all work; writing the correct P-value, without supporting work, will receive no credit.(d)Is there sufficient evidence to support the manager’s claim that the four types are equally popular? Justify your answer.24.A random sample of 4 professional athletes produced the following data where x is the number of endorsements the player has and y is the amount of money made (in millions of dollars). x 0 1 3 5 y 1 2 5 8 (a)Find an equation of the least squares regression line.Show all work; writing the correct equation, without supporting work, will receive no credit.(b)Based on the equation from part (a), what is the predicted value of y if x = 2?Show all work and justify your answer.25. A STAT 200 instructor is interested in whether there is any variation in the final exam grades between her two classesData collected from the two classes are as follows: Her null hypothesis and alternative hypothesis are: (a)Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit. (b)Determine the P-value for this test.Show all work; writing the correct P-value, without supporting work, will receive no credit.(c)Is there sufficient evidence to justify the rejection of H0 at the significance level of 0.05? Explain.
Liberty University Compute the Sample Standard Deviation Statistics Questions
I will attach the questions that need answered. Questions 32-36 and 38-47 and 49
Liberty University Compute the Sample Standard Deviation Statistics Questions
I will attach the questions that need answered. Questions 32-36 and 38-47 and 49
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