Essentials Of Statistics For Business & Economics
9th Edition
ISBN: 9780357045435
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: South-Western College Pub
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Chapter 11, Problem 2CP
Meticulous Drill & Reamer (MD&R) specializes in drilling and boring precise holes in hard metals (e.g., steel alloys, tungsten carbide, and titanium). The company recently contracted to drill holes with 3-centimeter diameters in large carbon-steel alloy disks, and it will have to purchase a special drill to complete this job. MD&R has eliminated all but two of the drills it has been considering: Davis Drills’ T2005 and Worth Industrial Tools’ AZ100. These producers have each agreed to allow MD&R to use a T2005 and an AZ100 for one week to determine which drill it will purchase. During the one-week trial, MD&R uses each of these drills to drill 31 holes with a target diameter of 3 centimeters in one large carbon-steel alloy disk, then measures the diameter of each hole and records the results. MD&R’s results are provided in the table that follows and are available in the DATAfile named MeticulousDrills.
MD&R wants to consider both the accuracy (closeness of the diameter to 3 centimeters) and the precision (the variance of the diameter) of the holes drilled by the T2005 and the AZ100 when deciding which model to purchase.
Managerial Report
In making this assessment for MD&R, consider the following four questions:
- 1. Are the holes drilled by the T2005 or the AZ100 more accurate? That is, which model of drill produces holes with a mean diameter closer to 3 centimeters?
- 2. Are the holes drilled by the T2005 or the AZ100 more precise? That is, which model of drill produces holes with a smaller variance?
- 3. Conduct a test of the hypothesis that the T2005 and the AZ100 are equally precise (that is, have equal variances) at a = .05. Discuss your findings.
- 4. Which drill do you recommend to MD&R? Why?
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Meticulous Drill & Reamer (MD&R) specializes in drilling and boring precise holes in hard metals (e.g., steel alloys, tungsten carbide, and titanium). The company recently contracted to drill holes with 3-centimeter diameters in large carbon-steel alloy disks, and it will have to purchase a special drill to complete this job. MD&R has eliminated all but two of the drills it has been considering: Davis Drills' T2005 and Worth Industrial Tools' AZ100. These producers have each agreed to allow MD&R to use a T2005 and an AZ100 for one week to determine which drill it will purchase. During the one-week trial, MD&R uses each of these drills to drill 31 holes with a target diameter of 3 centimeters in one large carbon-steel alloy disk, then measures the diameter of each hole and records the results.
Prepare a managerial report that considers the accuracy (closeness of the diameter to 3 centimeters) and the precision (the variance of the diameter) of the holes drilled in…
You work for the U.S. Food and Drug Administration. You have gotten word that a drug manufactoring is not
accurately reporting the contents of their liquid cold medication. Under Federal Regulations, "Variations
from stated quantity of contents shall not be unreasonably large" (see section q of the regulation by
clicking here ).
The company that produces the cold medication is claiming that each bottle contains 355 milliliters of cold
medication, which is about 12 fluid ounces. In order to determine if they are accurate in their reporting,
you decide to randomly select 20 different bottles of cold medication and measure the amount of cold
medication in each bottle (in milliliters). The results of each sample are shown below.
Bottle Number
1
2
3
4
8
9.
10
Milliliters
355
350
340
349
355
353
355
342
346
358
Bottle Number
11
12
13
14
15
16
17
18
19
20
Milliliters
344
348
349
345
360
344
342
342
350
357
Use the data shown above to construct a 94% confidence interval estimate for the mean…
You work for the U.S. Food and Drug Administration, You have gotten word that a drug manufacturing is not
accurately reporting the contents of their liquid cold medication. Under Federal Regulations, "Variations
from stated quantity of contents shall not be unreasonably large" (see section q of the regulation by
clicking here ).
The company that produces the cold medication is claiming that each bottle contains 355 milliliters of cold
medication, which is about 12 fluid ounces, In order to determine if they are accurate in their reporting,
you decide to randomly select 20 different bottles of cold medication and measure the amount of cold
medication in each bottle (in milliliters). The results of each sample are shown below.
Bottle Number
2.
6.
10
4.
344
Milliliters
355
343
348
357
357
351
360
347
349
Bottle Number
17
18
19
20
12
347
13
350
15
349
11
14
16
Milliliters
348
345
345
346
349
350
346
a) Use the data shown above to construct a 98S confidence interval estimate for the mean…
Chapter 11 Solutions
Essentials Of Statistics For Business & Economics
Ch. 11.1 - 1. Find the following chi-square distribution...Ch. 11.1 - Prob. 2ECh. 11.1 - A sample of 16 items provides a sample standard...Ch. 11.1 - Package Delivery by Drones. Amazon.com is testing...Ch. 11.1 - College Basketball Coaches’ Salaries. In 2018,...Ch. 11.1 - Volatility of General Electric Stock. To analyze...Ch. 11.1 - Halloween Spending. In 2017, Americans spent a...Ch. 11.1 - Variability in Daily Change in Stock Price....Ch. 11.1 - Aerospace Part Manufacturing. The competitive...Ch. 11.1 - Costco Customer Satisfaction. Consumer Reports...
Ch. 11.1 - Variability in GMAT Scores. In 2016, the Graduate...Ch. 11.1 - Vehicle Ownership by Fortune Magazine Subscribers....Ch. 11.2 - Find the following F distribution values from...Ch. 11.2 - A sample of 16 items from population 1 has a...Ch. 11.2 - Prob. 15ECh. 11.2 - Comparing Risk of Mutual Funds. Investors commonly...Ch. 11.2 - Repair Costs as Automobiles Age. In its 2016 Auto...Ch. 11.2 - Prob. 18ECh. 11.2 - Prob. 19ECh. 11.2 - Prob. 20ECh. 11.2 - Smartphone Battery Life. Battery life is an...Ch. 11.2 - Prob. 22ECh. 11 - 23. Because of staffing decisions, managers of the...Ch. 11 - Prob. 24SECh. 11 - Business Travel Costs. According to the 2017...Ch. 11 - Manufacture of Ball Bearings. Ball bearing...Ch. 11 - Count Chocula Cereal. Filling boxes with...Ch. 11 - OrderUp Food Delivery. OrderUp is a service that...Ch. 11 - Daily Patient Volume at Dental Clinic. A sample of...Ch. 11 - A sample standard deviation for the number of...Ch. 11 - Golf Scores. Is there any difference in the...Ch. 11 - Grade Point Average Comparison. The grade point...Ch. 11 - Weekly Cost Reporting. Stable cost reporting in a...Ch. 11 - Lean Process Improvement at the New York City Food...Ch. 11 - An Air Force introductory course in electronics...Ch. 11 - Meticulous Drill Reamer (MDR) specializes in...
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- You work for the U.S. Food and Drug Administration. You have gotten word that a drug manufacturing is not accurately reporting the contents of their liquid cold medication. Under Federal Regulations, "Variations from stated quantity of contents shall not be unreasonably large" (see section q of the regulation by clicking here).The company that produces the cold medication is claiming that each bottle contains 355 milliliters of cold medication, which is about 12 fluid ounces. In order to determine if they are accurate in their reporting, you decide to randomly select 20 different bottles of cold medication and measure the amount of cold medication in each bottle (in milliliters). The results of each sample are shown below. Bottle Number 1 2 3 4 5 6 7 8 9 10 Milliliters 342 353 357 353 351 348 352 359 354 358 Bottle Number 11 12 13 14 15 16 17 18 19 20 Milliliters 342 351 341 353 352 344 348 355 349 353 a) Use the data shown above to construct a 96% confidence interval…arrow_forwardYou work for the U.S. Food and Drug Administration. You have gotten word that a drug manufacturing is not accurately reporting the contents of their liquid cold medication. Under Federal Regulations, "Variations from stated quantity of contents shall not be unreasonably large" (see section q of the regulation by clicking here).The company that produces the cold medication is claiming that each bottle contains 355 milliliters of cold medication, which is about 12 fluid ounces. In order to determine if they are accurate in their reporting, you decide to randomly select 20 different bottles of cold medication and measure the amount of cold medication in each bottle (in milliliters). The results of each sample are shown below. Bottle Number 1 2 3 4 5 6 7 8 9 10 Milliliters 352 345 343 350 340 351 347 354 351 348 Bottle Number 11 12 13 14 15 16 17 18 19 20 Milliliters 359 347 352 347 356 355 356 342 355 344 a) Use the data shown above to construct a 96% confidence interval…arrow_forwardYou work for the U.S. Food and Drug Administration. You have gotten word that a drug manufacturing is not accurately reporting the contents of their liquid cold medication. Under Federal Regulations, "Variations from stated quantity of contents shall not be unreasonably large" (see section q of the regulation by clicking here ). The company that produces the cold medication is claiming that each bottle contains 355 milliliters of cold medication, which is about 12 fluid ounces. In order to determine if they are accurate in their reporting, you decide to randomly select 20 different bottles of cold medication and measure the amount of cold medication in each bottle (in milliliters). The results of each sample are shown below. Bottle Number 1 3 4 7 8 9. 10 Milliliters 341 357 341 357 356 359 347 343 360 346 Bottle Number 11 12 13 14 15 16 17 18 19 20 Milliliters 358 352 344 360 346 347 360 342 341 349 a) Use the data shown above to construct a 97% confidence interval estimate for the…arrow_forward
- You work for the U.S. Food and Drug Administration. You have gotten word that a drug manufacturing is not accurately reporting the contents of their liquid cold medication. Under Federal Regulations, "Variations from stated quantity of contents shall not be unreasonably large" (see section q of the regulation by clicking here).The company that produces the cold medication is claiming that each bottle contains 355 milliliters of cold medication, which is about 12 fluid ounces. In order to determine if they are accurate in their reporting, you decide to randomly select 20 different bottles of cold medication and measure the amount of cold medication in each bottle (in milliliters). The results of each sample are shown below. Bottle Number 1 2 3 4 5 6 7 8 9 10 Milliliters 352 341 358 351 358 353 345 341 354 343 Bottle Number 11 12 13 14 15 16 17 18 19 20 Milliliters 345 344 344 342 355 341 352 359 349 355 a) Use the data shown above to construct a 93% confidence interval…arrow_forwardYou work for the U.S. Food and Drug Administration. You have gotten word that a drug manufacturing is not accurately reporting the contents of their liquid cold medication. Under Federal Regulations, "Variations from stated quantity of contents shall not be unreasonably large" (see section q of the regulation by clicking here ). The company that produces the cold medication is claiming that each bottle contains 355 milliliters of cold medication, which is about 12 fluid ounces. In order to determine if they are accurate in their reporting, you decide to randomly select 20 different bottles of cold medication and measure the amount of cold medication in each bottle (in milliliters). The results of each sample are shown below. Bottle Number 1 2 3 4 7 8 9. 10 Milliliters 360 359 349 355 353 356 360 353 355 351 Bottle Number 11 12 13 14 15 16 17 18 19 20 Milliliters 351 343 353 346 350 342 356 355 355 346 a) Use the data shown above to construct a 94% confidence interval estimate for the…arrow_forwardYou work for the U.S. Food and Drug Administration. You have gotten word that a drug manufacturing is not accurately reporting the contents of their liquid cold medication. Under Federal Regulations, "Variations from stated quantity of contents shall not be unreasonably large" (see section q of the regulation by clicking here).The company that produces the cold medication is claiming that each bottle contains 355 milliliters of cold medication, which is about 12 fluid ounces. In order to determine if they are accurate in their reporting, you decide to randomly select 20 different bottles of cold medication and measure the amount of cold medication in each bottle (in milliliters). The results of each sample are shown below. Bottle Number 1 2 3 4 5 6 7 8 9 10 Milliliters 348 350 354 355 347 344 357 353 345 350 Bottle Number 11 12 13 14 15 16 17 18 19 20 Milliliters 344 360 354 348 349 351 356 347 351 359 a) Use the data shown above to construct a 97% confidence interval…arrow_forward
- You work for the U.S. Food and Drug Administration. You have gotten word that a drug manufacturing is not accurately reporting the contents of their liquid cold medication. Under Federal Regulations, "Variations from stated quantity of contents shall not be unreasonably large" (see section q of the regulation by clicking here).The company that produces the cold medication is claiming that each bottle contains 355 milliliters of cold medication, which is about 12 fluid ounces. In order to determine if they are accurate in their reporting, you decide to randomly select 20 different bottles of cold medication and measure the amount of cold medication in each bottle (in milliliters). The results of each sample are shown below. Bottle Number 1 2 3 4 5 6 7 8 9 10 Milliliters 347 356 340 350 347 354 351 340 342 358 Bottle Number 11 12 13 14 15 16 17 18 19 20 Milliliters 341 351 359 341 351 347 355 347 354 354 a) Use the data shown above to construct a 97% confidence interval…arrow_forwardA manufacturer has a steady annual demand for 10,850 cases of sugar. It costs $7 to store 1 case for 1 year, $31 in set up cost to produce each batch, and $15 to produce each case. Find the number of cases per batch that should be produced to minimize cost. The manufacturer should produce cases per batch. (Round to the nearest whole number as needed.)arrow_forwardProcess A produces 1,000 defect-free parts per hour. After every 2 hours, the equipment must be adjusted. This adjustment takes 15 minutes. The machine operator, who also makes the adjustment, is paid $25 per hour (this includes fringe benefits). Process B produces 750 defect-free parts per hour. The equipment needs to be adjusted by the operator every 4 hours. This adjustment requires 10 minutes of the operator’s time (paid at $15 per hour which includes fringe benefits). Both processes are operated 8 hours a day. If each defect-free part can be sold for $0.10, which process should be selected? Be sure to list your key assumptions.arrow_forward
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