Chapter 12, Problem 12.6AC

The sales manager of a large automotive parts distributor wants to estimate the total annual sales for each of the company’s regions.  Three factors appear to be related to regional sales: the number of retail outlets in the region, the total personal income of the region, and the number of cars registered in the region. The following table shows the data for 10 regions that were gathered for last year sales.    The excel data file for this problem is:final exam question 6B spring 2021.xlsx     Region Annual sales  ($ million) Number of retail outlets Number of automobiles registered (million) Personal income ($ billion) 1 37.702 1,739 9.27 85.4 2 24.196 1,221 5.86 60.7 3 32.055 1,846 8.81 68.1 4 3.611 120 4.81 20.1 5 17.625 1,096 10.31 33.8 6 45.919 2,290 11.62 95.1 7 29.600 1,687 8.96 69.3 8 8.114 241 6.28 16.5 9 20.116 649 7.77 34.9 10 12.994 1,427 10.92…

A college bookstore must order books two months before each semester starts. They believe that the number of books that will ultimately be sold for any particular course is related to the number of students registered for the course when the books are ordered. They would like to develop a bestfitting line to predict how many books to order. From past records, the bookstore obtains the number of students registered, X, and the number of books actually sold for a course, Y , for 12 different semesters.A scatterplot of the data along with the best fitting line is presented below. a. The correlation between the two variables is r = .89. Calculate and interpret the value of r2.b. The equation for the best fitting line is Y = 9.30 + 0.673X. Explain and interpret the value of 9.30.c. How many books should the store order for a class of 50 students? Would you trust this prediction?

The desired distance for Flextronchip customers is 0.4 mm between two adjacent pins. Any deviation from this value causes interference. The process of handling complaints costs the firm at approximately $30.00 per chip. The engineers of the firm expect the average customer will be likely to complain when the distance is off target by at least 0.0002 mm. At the factory, the adjustment can be made at a cost of $1.40, which includes the labor to make the adjustment and additional testing. Required: 1. What is the value of k, the cost coefficient, in the Taguchi quality loss function (QLF) based on the above data? 2. Based on a Taguchi quality loss function (QLF), what should the tolerance be before an adjustment is made at the factory? 3. Based on your answer to (requirement 2) above, what are the specification limits (upper and lower) for the production of the product in question? Complete this question by entering your answers in the tabs below. Required 2 Required 3 What is the value…

A manufacturer wants to optimize its shipment of goods to its customers. To minimize their turnover time and avoid building up stocks that add costs, the wholesaler wants to know if weather conditions are important in determining the type of shoe demanded. Specifically, he would like to know if high temperatures affect the sale of closed, rubber-heeled walking shoes. He the data showing the temperature recorded at the location of its retail shops, as well as their record of sales of goods, during each day of the past year. What type of analysis should he conduct? What variables should be considered? Explain.

Doctors Jonert and Eckson were excited about their results of their previous study on Gypsy moth development. They decided to continue their study of moths, expanding it to native Virginia moths to learn about the pupal mass relationship to development.  As part of their study they have a colony of Pink-striped Oakworm moths that have been raised in a controlled environment in their labs. They have collected several pieces of data about the male Luna moths in their colony in order to determine if the pupal mass of the males was related to their rate of development. 17) Looking at the graph on Pupal Mass vs Development Time, what type of graph is this?  (pie chart, column chart, bar chart, histogram, line graph, scatter plot, area chart.) 18) Using the appropriate formula, calculate the covariance to 3 decimals. covariance = , now convert it to a percentage: % 19) Is the covariance positive, negative or zero? .  20) Are the variables dependent on one another?  (yes, no) 21) Using the…

Need D and E only

A manufacturer produces washdown motors for the food service industry. The company manufactures the motors to order by modifying a base model to meet the specifications requested by the customer. The motors are produced in a batch environment, with the batch size equal to the number ordered. The manufacturer has recently sampled 50 customer orders. The motor manufacturer would like to determine if there is a relationship between the cost of producing the order and the order size so that it could estimate the cost of producing a particular size order.    (A) Use the sample data to estimate the least squares regression model. (B) Provide an interpretation of the regression coefficients. (C) Test the significance of the overall regression model using a significance level of 0.02. (D) The company has just received an order for 30 motors. Use the regression model developed in part a to estimate the cost of producing this particular order. (E) Referring to part d, what is the 95% confidence…

Intensive care units (ICUS) generally treat the sickest patients in a hospital. ICUs are often the most expensive department in a hospital because of the specialized equipment and extensive training required to be an ICU doctor or nurse. Therefore, it is important to use ICUs as efficiently as possible in a hospital. According to a 2017 arge-scale study of elderly ICU patients, the average length of stay in the ICU is 3.4 days (Critical Care Medicine journal article). Assume that this length of stay in the ICU has an exponential distribution. Do not round intermediate calculations. What is the probability that the length of stay in the ICU is one day or less (to 4 decimals)? 2857 b. What is the probability that the length of stay in the ICU is between two and three days (to 4 decimals)? What is the probability that the length of stay in the ICU is more than five days (to 4 decimals)? Hide Feedback

At a large furniture and electrical​ store, customers usually find that the furniture on display is not held in stock. Rather than being immediately​ available, it must be sourced from manufacturers. In the sofa​ department, the average delivery time is expected to be six weeks after purchase. In order to test whether this target is​ accurate, the store records the delivery times​ (in days) taken for 50 sofa purchases. Complete parts​ (a) through​ (d).   LOADING... Click the icon to view the data table.         a. The supervisor claims that the mean number of days between receipt of the order and delivery of the sofa is 42 days or more. At the 0.05 level of​ significance, is there evidence that the claim is not true​ (that is, that the mean number of days is less than 42​)?   State the null and alternative hypotheses. Choose the correct answer below.     A. H0​: μ>42 H1​: μ<42   B. H0​: μ≠42 H1​: μ=42   C. H0​: μ≤42 H1​: μ>42   D.…