Consider a sample ₁, 2,...,n and suppose that the values of and s² have been calculated. Let y₁ = axi + b for i=1,2,. n. How do the sample mean and the sample variance of the yi's relate to and s² respectively? Verify your conjectures.
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- Let T be the time that is needed for a specific task in a factory to be completed. In order to estimate the mean and variance of T, we observe a random sample T1,T2,T6. Thus, T's are i.i.d. and have the same distribution as T. We obtain the following values (in minutes): 18, 21, 17, 16, 24, 20. Find the values of the sample mean, the sample variance, and the sample standard deviation for the observed sample.An analysis of variance produces SSbetween = 40, SSwithin = 60, and an F-ratio with df = 2, 15. For this analysis, what is the F-ratio?Help pls
- A sample of 3 measurements are taken and recorded: a =8, y = 10 and z = 7 The sample mean is: x = = 8.33 Fill in the table below. aj (a; - x)2 Ex: 5.34 Ex: 5.34 Ex: 5.34 82 = (z-z)*+(y-a)* +(z-z) Ex: 5.34 (z-2)*+(y-z)* +(z-) = Ex: 5.34Please read the following question carefully and type the solution down accordingly. 1. X₁, X₂, X3, X₁ is the sample from x that has the normal distribution N(0,4) and a(X₁-2X₂2)² +b(3X₂-4X₂)² has a x² (n), Find the values of a, b and n. distrbituionAnswer T for true or F for false: a. Nonparametric methods rely on fewer assumptions about populations being sampled than do parametric methods. ____ b. Statistical power is about the same with nonparametric and parametric methods. ______
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