We want to know whether the variance of the aerobic capacity of smokers is greater than the variance in aerobic capacity of smokers. We test the aerobic capacity of n1=21 smokers and n2=18 nonsmokers and obtain s12=13 and s22=3. Test the null hypothesis that the variances are the same against the alternative hypothesis that they are different using alpha=0.01.

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A: Given  σ2=1.36, n=16, s2=1.27, ɑ=0.01

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A: The population variance is 0.03, sample standard deviation for 10 containers is 0.24585.

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Q: Y is a random variable and "a" and "b" two real constants. Without resorting to the properties of…

A: Given that, Y is a random variable and "a" and "b" two real constants. Without resorting to the…

Q: Let X~N(0, 0?). Find the CRLB for variances of the unbiased estimator of T(0)= 0²

A: Given  N~(0,θ2), t(θ)=θ2

Q: One sample has a variance of s2 = 10 and a second sample has a variance of s2 = 6. If the two…

A: Obtain the pooled variance for the two samples. The value of pooled variance is obtained below: The…

Q: Suppose that X and Y are unknowns with E(X) = 10, Var (X) = 4, E(Y)=12 and Var (Y) = 100. In…

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Q: he variance of the event of a coin being thrown four times equal to the center of gravity is the…

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Q: The following table gives the total endothermic reactions involving sodium bicarbonate   Final…

A: Note:Hi! Thank you for posting the question. However, from the given data, the problem was not…

Q: Derive the mean and he variance of X ~ Beta Ca, f).

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A: Solution: Given information: Test statistic t(25) = 2.071 α=0.05  Level of significance

Q: If X1 is the mean of a random sample of size n from a normal population with the mean u and the…

A: Here,      X1  is mean of r.s  of size n  from Nμ, σ12  &  X2  is mean of r.s of size   n…

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Q: ne sample has a variance of s2 = 10 and the second sample has a variance of s2 = 20.   If the pooled…

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Q: One sample has SS = 60 and a second sample has %3D SS = 48. %3D a. If n = 7 for both samples, find…

A: SS for one sample =60 SS for second sample =48

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A: The distribution of z scores follows standard normal distribution.

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Q: Then the value of the variance of X+Y is:

A: Variance of X + Y can be calculated as V(X + Y) = V(X) + V(Y) + 2Cov(X, Y)

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Q: 2) Let G and H be two independent unbiased estimators of 0. Assume that the variance of G is two…

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Q: Let G and H be two independent unbiased estimators of 0. Assume that the variance of G is two times…

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A: sigma^2   = ∑ (x −  μ)2 / n

Q: 6. Show that 1 s2 = TE2-1(Xi – x)² is unbiased estimator of the population variance o?

A: Show that S^2 is unbiased estimator of population variance

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Q: A sample of n = 4 scores has a variance of s2 = 16 and an estimated standard error of 2.

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Q: The accounting department analyzes the variance of the weekly unit costs reported by two production…

A: Given data: Variances  are ; S12 = 2.3 and  S22 = 5.4 Significance level = 0.10 To calculate : the…