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differ between the two companies The standard deviation of concentration in a random sample of n1 10 batches produced by company 1 is s1 47 grams per liter, while for company 2, a random sample of n2 16 batches yields s2 58 grams per liter Is there suf cient evidence to conclude that the two population variances differ Use 005 10-48 Consider the etch rate data in Exercise 10-21 Test 2 2 2 the hypothesis H0: 2 1 2 against H1: 1 2 using 005, and draw conclusions 10-49 Consider the etch rate data in Exercise 10-21 Suppose that if one population variance is twice as large as the other, we want to detect this with probability at least 090 (using 005) Are the sample sizes n1 n2 10 adequate 10-50 Consider the diameter data in Exercise 10-17.

Work Area The area where you add and work with data in a program. Depending on the Office program, the work area may be a document, a worksheet or a slide.

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Construct the following: (a) A 90% two-sided con dence interval on 1 2 (b) A 95% two-sided con dence interval on 1 2 Comment on the comparison of the width of this interval with the width of the interval in part (a) (c) A 90% lower-con dence bound on 1 2 10-51 Consider the foam data in Exercise 10-18 Construct the following: (a) A 90% two-sided con dence interval on 2 2 1 2 (b) A 95% two-sided con dence interval on 2 2 Comment 1 2 on the comparison of the width of this interval with the width of the interval in part (a) (c) A 90% lower-con dence bound on 1 2 10-52 Consider the lm speed data in Exercise 10-24 Test 2 2 2 H0: 2 002 2 using 1 2 versus H1: 1 10-53 Consider the gear impact strength data in Exercise 10-22.

Add Imports System.Reflection to top of this code file. Public Shared ReadOnly Property Version() As Version Get Dim a As [Assembly] = [Assembly].GetExecutingAssembly() Dim aName As AssemblyName = a.GetName() Return aName.Version End Get End Property

Is there suf cient evidence to conclude that the variance of impact strength is different for the two suppliers Use 005 10-54 Consider the melting point data in Exercise 10-25 Do the sample data support a claim that both alloys have the.

same variance of melting point Use 0.05 in reaching your conclusion. 10-55. Exercise 10-28 presented measurements of plastic coating thickness at two different application temperatures. 2 2 2 Test H0: 2 0.01. 2 using 1 2 against H1: 1 10-56. A study was performed to determine whether men and women differ in their repeatability in assembling components on printed circuit boards. Random samples of 25 men and 21 women were selected, and each subject assembled the units. The two sample standard deviations of assembly time were smen 0.98 minutes and swomen 1.02 minutes. Is there evidence to support the claim that men and women differ in repeatability for this assembly task Use 0.02 and state any necessary assumptions about the underlying distribution of the data. 10-57. Reconsider the assembly repeatability experiment described in Exercise 10-56. Find a 98% con dence interval on the ratio of the two variances. Provide an interpretation of the interval. 10-58. Reconsider the lm speed experiment in Exercise 10-24. Suppose that one population standard deviation is 50% larger than the other. Is the sample size n1 n2 8 adequate to detect this difference with high probability Use 0.01 in answering this question. 10-59. Reconsider the overall distance data for golf balls in Exercise 10-31. Is there evidence to support the claim that the standard deviation of overall distance is the same for both brands of balls (use 0.05) Explain how this question can be answered with a 95% con dence interval on 1 2 . 10-60. Reconsider the coef cient of restitution data in Exercise 10-32. Do the data suggest that the standard deviation is the same for both brands of drivers (use 0.05) Explain how to answer this question with a con dence interval on 1 2 .

This code requires the Imports System.Reflection directive at the top of the code file because the System.Reflection namespace contains the Assembly class and the AssemblyName class. The Assembly class is enclosed within brackets because Assembly is also a keyword. The Assembly class has several shared methods for obtaining a reference to an assembly. In this case, GetExecutingAssembly method returns a reference to the DataComponent assembly. The Version class contains properties called Major, Minor, Revision, and Build. The ToString method provides the version as a string. Also, the operators =, <>, <, >, >=, <= are overloaded to allow comparison of version instances. Visual Basic .NET does not support operator overloading, but methods exist that Visual Basic .NET can use to perform comparisons as shown in Figure 15.4. These methods are static methods, and can be called as follows:

10-6

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