Introduction to Business Statistics
7th Edition
ISBN: 9781111792374
Author: WEIERS
Publisher: Cengage Learning
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The Journal of Engineering in Industry (Aug. 1993) reported on an automated system designed to replace
the cutting tool of a drilling machine at optimum times. To test the system, data were collected over a
broad range of materials, drill sizes, drill speeds, and feed rates – called machining conditions. Although a
total of 168 different machining conditions were possible, only eight were employed in this study. These
are described below:
Experiment
Workpiece
Drill Size
(in.)
25
25
Drill Speed
(грт)
1250
1800
Feed Rate
Material
(ipr)
.011
.005
1
Cast Iron
Cast Iron
Steel
Steel
25
25
3750
2500
.003
.003
.008
4
Steel
25
.125
.125
2500
Steel
Steel
4000
4000
3000
.0065
.009
.010
Steel
.125
a. Suppose one (and only one) of the 168 possible machining conditions will detect a flaw in the system.
What is the probability that the experiment conducted in the study will detect the system flaw?
b. Suppose the system flaw occurs when drilling steel material with a 25-inch drill size at a speed of…
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…
The owner of a moving company typically has their most experienced manager predict the total number of labor hours that will be required to complete an upcoming move. The approach has proven useful in the past, but the owner has their business objective of developing a more accurate method of predicting labor hours. In a preliminary effort to provide a more accurate method, the owner has decided to use the number of cubic feet moved as the independent variable and has collected data for 36 moves. The data is seen below:
Hours
Feet
24.00
545
13.50
400
26.25
562
25.00
540
9.00
220
20.00
344
22.00
569
11.25
340
50.00
900
12.00
285
38.75
865
40.00
831
19.50
344
18.00
360
28.00
750
27.00
650
21.00
415
15.00
275
25.00
557
45.00
1028
29.00
793
21.00
523
22.00
564
16.50
312
37.00
757
32.00
600
34.00
796
25.00
577…
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- Zelle's Dry Cleaners has collected the following data for its processing of dress shirts: It takes an average of 3,5 hours to dry clean and press a dress shirt, with value-added time estimated at 110 minutes per shirt. Workers are paid for a 7-hour workday and work 5,5 hours per day on average, accounting for breaks and lunch; labor utilization is 75 percent in the industry. The dry cleaner completes 25 shirts per day, with an industry standard of 28 shirts per day for a comparable facility. Determine process velocity, labor utilization, and efficiency for the company.arrow_forwardThe owner of a moving company typically has his most experienced manager predict the total number of labor hours that will be required to complete an upcoming move. This approach has proved useful in the past, but the owner has the business objective of developing a more accurate method of predicting labor hours. In a preliminary effort to provide a more accurate method, the owner has decided to use the number of cubic feet moved as the independent variable and has collected data for 36 moves in which the origin and destination were within the borough of Manhattan in New York City and in which the travel time was an insignificant portion of the hours worked. If the sum of squares Y is 1,513.32 and the sum of squares error is 176.22. What proportion of variation in labor hours is explained by the number of cubic feet moved? Hint: Provide answer accurate to 4 decimal places.arrow_forwardThe owner of a moving company typically has his most experienced manager predict the total number of labor hours that will be required to complete an upcoming move. This approach has proved useful in the past, but the owner has the business objective of developing a more accurate method of predicting labor hours. In a preliminary effort to provide a more accurate method, the owner has decided to use the number of cubic feet moved as the independent variable and has collected data for 36 moves in which the origin and destination were within the borough of Manhattan in New York City and in which the travel time was an insignificant portionof the hours worked. The intercept for the sample regression line that the owner has computed is -2.24 and the slope is 0.03. What is the predicted number of labor hours for moving 484 cubic feet? Hint: Provide your answer accurate to 2 decimal places.arrow_forward
- An internet service provider (ISP) has experienced rapid growth in the past five years. As part of its marketing strategy, the company promises fast connections and dependable service. To achieve its objectives, the company constantly evaluates the capacity of its servers. One component of its evaluating is an analysis of the average amount of time a customer is connected and actively using the Internet daily. A random sample of 12 customer records shows the following daily usage times, in minutes. Complete parts a through d below. 273 343 314 315 310 328 304 289 284 384 378 312 a. Using the sample data, compute the best point estimate of the population mean for daily usage times for the ISP's customers. O minute(s) (Round to two decimal places as needed.)arrow_forwardThe 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…arrow_forwardAn internet service provider (ISP) has experienced rapid growth in the past five years. As part of its marketing strategy, the company promises fast connections and dependable service. To achieve its objectives, the company constantly evaluates the capacity of its servers. One component of its evaluating is an analysis of the average amount of time a customer is connected and actively using the Internet daily. A random sample of 12 customer records shows the following daily usage times, in minutes. Complete parts a through d below.a. Using the sample data, compute the best point estimate of the population mean for daily usage times for the ISP's customers.318 minute(s)(Round to two decimal places as needed.)b. The managers of the ISP's marketing department would like to develop a % confidence interval estimate for the population mean daily customer usage time. Because the population standard deviation of daily customer usage time is unknown and the sample size is small,…arrow_forward
- For this year’s most important new toy, Holiday’s marketing director is expecting demand to average 40 units per retail outlet. Prior to making the final production decision based on this estimate, Holiday decided to survey a sample of 25 retailers in order to develop more information about the demand for the new product. Each retailer was provided with information about the features of the new toy along with the cost and the suggested selling price. Then each retailer was asked to specify an anticipated order quantity. Alpha = .05. Note: Calculate for the Sample Standard Deviation.arrow_forwardAn internet service provider (ISP) has experienced rapid growth in the past five years. As part of its marketing strategy, the company promises fast connections and dependable service. To achieve its objectives, the company constantly evaluates the capacity of its servers. One component of its evaluating is an analysis of the average amount of time a customer is connected and actively using the Internet daily. A random sample of 12 customer records shows the following daily usage times, in minutes. Complete parts a through d below. 265 310 294 304 310 347 317 288 303 383 353 337 a. Using the sample data, compute the best point estimate of the population mean for daily usage times for the ISP's customers. ______minute(s) (Round to two decimal places as needed.) b. The managers of the ISP’s marketing department would like to develop a 99% confidence interval estimate for the population mean daily customer…arrow_forwardAccording to a census company, 7.1% of all babies born are of low birth weight. An obstetrician wanted to know whether mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies. She randomly selected 240 births for which the mother was 35 to 39 years old and found 26 low-birth-weight babies. Complete parts (a) through (c) below. Họ: 0.071 Hy: 0.071 Use technology to compute the P-value for this test. Use the Tech Help button for further assistance. P-value = (Round to three decimal places as needed.) State a conclusion for this test in the context of the obstetrician's question. Choose the correct answer below. O A. Do not reject the null hypothesis. There is sufficient evidence to conclude that mothers between the ages of 35 and 39 years give birth to a higher percentage of low-birth-weight babies at the a = 0.05 level of significance. B. Reject the null hypothesis. There is sufficient evidence to conclude that mothers between the ages of…arrow_forward
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