Check my wRequired informationTo assess the effect of piston ring type and oil type on piston ring wear, three types of piston rings and four types of oilwere studied. Three replications of an experiment, in which the number of milligrams of material lost from the ring infour hours of running was measured, were carried out for each of the 12 combinations of oil type and piston ring type.With oil type as the row effect and piston ring type as the column effect, the following sums of squares were observed:SSA 1.293, SSB = 0.9340, SSAB = 0.2485, SSE = 1.7034.How many degrees of freedom are there for the effect of piston ring type?

To find the degrees of freedom for the piston ring type, we need to subtract the number of…

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Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.3: Least Squares Approximation

Problem 31EQ

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Many young men in North America and Europe (but not in Asia) tend to think they need more muscle to be attractive. One study presented 200 young American men with 100 images of men with various levels of muscle. Researchers measure level of muscle in kilograms of fat‑free body mass per square meter of body surface area (kg/m2). Typical young men have about 20 kg/m2.. Each subject chose two images, one that represented his own level of body muscle and one that he thought represented "what women prefer." The mean gap between self‑image and "what women prefer" was 2.35 kg/m2.. Suppose that the "muscle gap" in the population of all young men has a Normal distribution with standard deviation 2.5 kg/m2.. If young men thought that their own level of muscle was about what women prefer, the mean "muscle gap" in the study would be 0. We suspect (before seeing the data) that (most) young men tend to think women prefer more muscle than they themselves have. What is the value of the test…
How was the effect size calculated?
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Snow avalanches can be a real problem for travelers in the western United States and Canada. A very common type of avalanche is called the slab avalanche. These have been studied extensively by David McClung, a professor of civil engineering at the University of British Columbia. Suppose slab avalanches studied in a region of Canada had an average thickness of μ = 68 cm. The ski patrol at Vail, Colorado, is studying slab avalanches in its region. A random sample of avalanches in spring gave the following thicknesses (in cm). 59 51 76 38 65 54 49 62 68 55 64 67 63 74 65 79 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) x = cm s = cm (ii) Assume the slab thickness has an approximately normal distribution. Use a 1% level of significance to test the claim that the mean slab thickness in the Vail region is different from that in the region of Canada. (a) What is the level of significance?
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Many young men in North America and Europe (but not in Asia) tend to think they need more muscle to be attractive. One study presented 200 young American men with 100 images of men with various levels of muscle. Researchers measure level of muscle in kilograms of fat-free body mass per square meter of body surface area (kg/m2). Typical young men have about 20 kg/m?. Each subject chose two images, one that represented his own level of body muscle and one that he thought represented "what women prefer." The mean gap between self-image and "what women prefer" was 2.35 kg/m?. Suppose that the "muscle gap" in the population of all young men has a Normal distribution with standard deviation 2.5 kg/m2. If young men thought that their own level of muscle was about what women prefer, the mean "muscle gap" in the study would be 0. We suspect (before seeing the data) that (most) young men tend to think women prefer more muscle than they themselves have. What is the value of the test statistic z?…

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