Warren County Telephone Company claims in its annual report that \"the typical customer spends $61 per month on local and long-distance service.\" A sample of 12 subscribers revealed the following amounts spent last month. $65 $64 $63 $68 $57 $64 $67 $65 $65 $59 $54 $66 a. What is the point estimate of the population mean? (Round your answer to 3 decimal places.) $ Estimated population mean b. Develop a 98% confidence interval for the population mean. (Use t Distribution Table.) (Round your answers to 3 decimal places.) $ Confidence interval for the population mean and $ c. Is the company's claim that the "typical customer" spends $61 per month reasonable? Yes No Speedy Swift is a package delivery service that serves the greater Atlanta, Georgia metropolitan area. To maintain customer loyalty, one of Speedy Swift's performance objectives is on-time delivery. To monitor its performance, each delivery is measured on the following scale: early (package delivered before the promised time), on-time (package delivered within 5 minutes of the promised time), late (package delivered more than 5 minutes past the promised time), lost (package never delivered). Speedy Swift's objective is to deliver 99% of all packages either early or on-time. Another objective is to never lose a package. Speedy collected the following data for last month's performance: On-time Early Early Early On-time On-time Early On-time On-time On-time On-time On-time On-time On-time Late Late Early On-time Early On-time Early On-time Early On-time Late Early On-time Early On-time On-time Late Early On-time Late On-time On-time On-time On-time On-time On-time On-time On-time On-time Early On-time Early Late Early On-time On-time On-time On-time On-time Early On-time On-time Early On-time Late Early On-time On-time Early On-time On-time Lost Lost Early On-time Early On-time On-time On-time On-time On-time On-time On-time On-time Early On-time Late On-time On-time On-time On-time On-time On-time Late On-time On-time a. What scale is used to measure delivery performance? What kind of variable is delivery performance? On-time On-time On-time Early On-time On-time On-time On-time On-time On-time Scale (Click to select) Variable (Click to select) b. Construct a frequency table for delivery performance for last month. Performance Frequency Early On-time Late Lost c. Construct a relative frequency table for delivery performance last month. (Round your answers to 2 decimal places.) Performance Relative frequency Early On-time Late Lost f. Analyze the data summaries and write an evaluation of last month's delivery performance as it relates to Speedy Swift's performance objectives. Packages either early or on-time % % Packages lost The personnel files of all eight employees at the Pawnee location of Acme Carpet Cleaners Inc. revealed that during the last six-month period they lost the following number of days due to illness: 3 4 2 4 6 1 5 1 All eight employees during the same period at the Chickpee location of Acme Carpets revealed they lost the following number of days due to illness: 3 9 1 0 0 0 2 4 a. Calculate the range, mean and mean deviations for the Pawnee location and the Chickpee location. (Round mean and mean deviation to 2 decimal places.) Pawnee location Chickpee location Range Mean b-1. Based on the sample data, which location has fewer lost days? (Click to select) b-2. Based on the sample data, which location has less variation? (Click to select) A National Park Service survey of visitors to the Rocky Mountain region revealed that 50% visit Yellowstone Park, 40% visit the Tetons, and 35% visit both. a. What is the probability a vacationer will visit at least one of these attractions? (Round your answer to 2 decimal places.) Probability b. What is the probability .35 called? (Click to select) c. Are the events mutually exclusive? (Click to select) The production department of Celltronics International wants to explore the relationship between the number of employees who assemble a subassembly and the number produced. As an experiment, 3 employees were assigned to assemble the subassemblies. They produced 14 during a one-hour period. Then 5 employees assembled them. They produced 23 during a one-hour period. The complete set of paired observations follows. Number of Assemblers 3 5 2 6 4 One-Hour Production (units) 14 23 9 39 30 The dependent variable is production; that is, it is assumed that different levels of production result from a different number of employees. Click here for the Excel Data File b. A scatter diagram is provided below. Based on it, does there appear to be any relationship between the number of assemblers and production? , as the number of assemblers (Click to select) , so does the production. (Click to select) c. Compute the correlation coefficient. (Negative amounts should be indicated by a minus sign. Round sx, sy and r to 3 decimal places.) X Y 3 ( 14 -9 )2 ( )2 ( 81 )( ) 5 23 2 9 6 39 4 30 = 1 1 -14 2 7 = sy = 0 196 4 32 0 0 sx = r = A national grocer's magazine reports the typical shopper spends 6.5 minutes in line waiting to check out. A sample of 24 shoppers at the local Farmer Jack's showed a mean of 5.9 minutes with a standard deviation of 2.5 minutes. Is the waiting time at the local Farmer Jack's less than that reported in the national magazine? Use the 0.025 significance level. a. What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.) Reject H0: 6.5 and fail to reject H1: < 6.5 when the test statistic is (Click to select) . b. The value of the test statistic is . (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) c. What is your decision regarding H0? Do not reject H0 Reject H0 -2-2 http://ezto.mhedu During a national debate on changes to health care, a cable news service performs an opinion poll of 480 small- business owners. It shows that 45% of small-business owners do not approve of the changes. (Use z Distribution Table.) a. Develop a 99% confidence interval for the proportion opposing health care changes. (Round your answers to 4 decimal places.) Confidence interval for the proportion and . b. Do majority approve? Yes A normal population has a mean of 21 and a standard deviation of 6. a. Compute the z value associated with 24. (Round your answer to 2 decimal places.) Z b. What proportion of the population is between 21 and 24? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.) Proportion c. What proportion of the population is less than 17? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.) Proportion On a very hot summer day, 5% of the production employees at Midland States Steel are absent from work. The production employees are randomly selected for a special in-depth study on absenteeism. What is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent? 0.599 0.002 0.344 0.100 Suppose you are an expert on the fashion industry and wish to gather information to compare the amount earned per month by models featuring Liz Claiborne attire with those of Calvin Klein. Assume the population standard deviations are not the same. The following is the amount ($000) earned per month by a sample of 15 Claiborne models: $6.7 4.8 $5.4 3.6 $3.5 3.2 $4.6 6.7 $6.6 3.2 $5.5 $5 $6.3 $3.5 $5.9 $3.2 $3.7 $3.8 The following is the amount ($000) earned by a sample of 12 Klein models. $3.6 3.9 $4.5 3 $4.2 $4.6 $4.9 $5.2 $5.5 Click here for the Excel Data File 1. Find the degrees of freedom for unequal variance test. (Round down your answer to the nearest whole number.) Degrees of freedom 2. State the decision rule for 0.1 significance level: H0: LC CK; H1: LC > CK. (Round your answer to 3 decimal places.) Reject H0 if t> 3. Compute the value of the test statistic. (Round your answer to 3 decimal places.) Value of the test statistic 4. Is it reasonable to conclude that Claiborne models earn more? Use the 0.1 significance level. H0. It is (Click to select) (Click to select)