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 order to make a purchase decision. Consider the complete data set. T2005 AZ100 3.26 3.11 3.25 3.51 3.33 3.01 3.21 3.21 3.15 3.14 3.22 3.37 3.22 3.45 3.32 3.59 3.20 3.43 3.24 3.17 3.23 3.13 3.25 3.17 3.21 3.26 2.93 3.15 3.32 3.12 3.23 2.91 3.30 2.97 3.22 2.92 3.11 3.38 3.21 3.15 3.35 3.06 2.89 3.36 3.24 3.25 3.21 3.45 3.15 3.02 3.35 3.42 3.51 3.13 3.21 3.44 3.13 2.97 3.20 3.14 3.24 3.51 1 Compute the mean, variance, and standard deviation of the hole diameters (in centimeters) for the T2005 and AZ100 drills. (Round your answers to four decimal places.) Mean Variance Standard Deviation T2005 AZ100 Discuss the accuracy of the holes drilled by the T2005 and the AZ100. That is, which model of drill produces holes with a mean diameter closer to 3 centimeters? The sample mean of the hole diameters produced by the T2005 drill is that of the AZ100 drill. Thus, the accuracy may be . Discuss the precision of the holes drilled by the T2005 and the AZ100. That is, which model of drill produces holes with a smaller variance? The variance for the T2005 is that of the AZ100 drill, indicating .

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 order to make a purchase decision. Consider the complete data set. T2005 AZ100 3.26 3.11 3.25 3.51 3.33 3.01 3.21 3.21 3.15 3.14 3.22 3.37 3.22 3.45 3.32 3.59 3.20 3.43 3.24 3.17 3.23 3.13 3.25 3.17 3.21 3.26 2.93 3.15 3.32 3.12 3.23 2.91 3.30 2.97 3.22 2.92 3.11 3.38 3.21 3.15 3.35 3.06 2.89 3.36 3.24 3.25 3.21 3.45 3.15 3.02 3.35 3.42 3.51 3.13 3.21 3.44 3.13 2.97 3.20 3.14 3.24 3.51 1 Compute the mean, variance, and standard deviation of the hole diameters (in centimeters) for the T2005 and AZ100 drills. (Round your answers to four decimal places.) Mean Variance Standard Deviation T2005 AZ100 Discuss the accuracy of the holes drilled by the T2005 and the AZ100. That is, which model of drill produces holes with a mean diameter closer to 3 centimeters? The sample mean of the hole diameters produced by the T2005 drill is that of the AZ100 drill. Thus, the accuracy may be . Discuss the precision of the holes drilled by the T2005 and the AZ100. That is, which model of drill produces holes with a smaller variance? The variance for the T2005 is that of the AZ100 drill, indicating .

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Description: 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 al

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 order to make a purchase decision.

Consider the complete data set.

T2005	AZ100
3.26	3.11
3.25	3.51
3.33	3.01
3.21	3.21
3.15	3.14
3.22	3.37
3.22	3.45
3.32	3.59
3.20	3.43
3.24	3.17
3.23	3.13
3.25	3.17
3.21	3.26
2.93	3.15
3.32	3.12
3.23	2.91
3.30	2.97
3.22	2.92
3.11	3.38
3.21	3.15
3.35	3.06
2.89	3.36
3.24	3.25
3.21	3.45
3.15	3.02
3.35	3.42
3.51	3.13
3.21	3.44
3.13	2.97
3.20	3.14
3.24	3.51

Compute the mean, variance, and standard deviation of the hole diameters (in centimeters) for the T2005 and AZ100 drills. (Round your answers to four decimal places.)

	Mean	Variance	Standard Deviation
T2005
AZ100

Discuss the accuracy of the holes drilled by the T2005 and the AZ100. That is, which model of drill produces holes with a mean diameter closer to 3 centimeters?

The sample mean of the hole diameters produced by the T2005 drill is that of the AZ100 drill. Thus, the accuracy may be .

Discuss the precision of the holes drilled by the T2005 and the AZ100. That is, which model of drill produces holes with a smaller variance?

The variance for the T2005 is that of the AZ100 drill, indicating .

You may need to use the appropriate technology to answer this question.

Conduct a test of the hypothesis that the T2005 and the AZ100 are equally precise (that is, have equal variances) at

? = 0.05.

State the null and alternative hypotheses. (Enter != for ≠ as needed.)

H₀:

H_a:

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to four decimal places.)

Discuss your findings.

The null hypothesis be rejected. There sufficient evidence to conclude that the population variance for the T2005 drill differs from that of the AZ100 drill.

Which drill do you recommend to MD&R? Why?

The data indicate that the variance of the T2005 drill is the variance of the AZ100 drill. The claim that the variances for the drills differ confirmed by the hypothesis test. Therefore, drill should be recommended based on the accuracy and precision of the holes drilled.

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