The breaking strength of a fiber is required to be

The breaking strength of a fiber is required to be at least 150 psi. Past experience has indicated that the standard deviation of breaking strength is σ = 3 psi. A random sample of four specimens is tested, and the results are y1 = 145, y2 = 153, y3 = 150, and y4, = 147. […]

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Consider the shelf life data in Problem 2-5. Can shelf

Consider the shelf life data in Problem 2-5. Can shelf life be described or modeled adequately by a normal distribution? What effect would violation of this assumption have on the test procedure you used in solving Problem 2-5? Problem 2-5 The shelf life of a carbonated beverage is of interest. Ten bottles are randomly selected […]

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Two machines are used for filling plastic bottles with a

Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The filling processes can be assumed to be normal, with standard deviations of σ1 = 0.015 and σ2 = 0.018. The quality engineering department suspects that both machines fill to the same net volume, whether or not this volume is […]

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An article in Solid State Technology, Orthogonal Design for Process

An article in Solid State Technology, “Orthogonal Design for Process Optimization and Its Application to Plasma Etching” by G. Z. Yin and D. W. Jillie (May, 1987) describes an experiment to determine the effect of the C2F6 flow rate on the uniformity of the etch on a silicon wafer used in integrated circuit manufacturing. Data […]

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Two types of plastic are suitable for use by an

Two types of plastic are suitable for use by an electronic calculator manufacturer. The breaking strength of this plastic is important. It is known that σ1, = σ2 = 1.0 psi. From random samples of n1 = 10 and n2 = 12 we obtain y̅1 = 1623 and y̅2 = 155.0. The company will not […]

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The shelf life of a carbonated beverage is of interest.

The shelf life of a carbonated beverage is of interest. Ten bottles are randomly selected and tested, and the following results are obtained: Days 108 138 124 163 124 159 106 134 115 139 (a) We would like to demonstrate that the mean shelf life exceeds 120 days. Set up appropriate hypotheses for investigating this […]

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Three brands of batteries are under study. It is suspected

Three brands of batteries are under study. It is suspected that the lives (in weeks) of the three brands are different. Five batteries of each brand are tested with the following results: (a) Are the lives of these brands of batteries different? (b) Analyze the residuals from this experiment. (c) Construct a 95 percent confidence […]

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An article in Environment International (Vol. 18, No. 4, 1992)

An article in Environment International (Vol. 18, No. 4, 1992) describes an experiment in which the amount of radon released in showers was investigated. Radon-enriched water was used in the experiment, and six different orifice diameters were tested in shower heads. The data from the experiment are shown in the following table:   (a) Does […]

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The response time in milliseconds was determined for three different

The response time in milliseconds was determined for three different types of circuits that could be used in an automatic valve shutoff mechanism. The results are shown in the following table: (a) Test the hypothesis that the three circuit types have the same response time. Use α = 0.01. (b) Use Tukey’s test to compare […]

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An article in the ACI Materials Journal (Vol. 84,1987, pp.

An article in the ACI Materials Journal (Vol. 84,1987, pp. 213-216) describes several experiments investigating the rodding of concrete to remove entrapped air. A 3-inch × 6-inch cylinder was used, and the number of times this rod was used is the design variable. The resulting compressive strength of the concrete specimen is the response. The […]

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