Consider the null hypotheses for the following multinomial experiments. (Give your answers correct to two decimal places.) (a) Determine the critical value and critical region that would be used in the classical approach to test Ho: P(1) = P(2) = P(3) = P(4) = 0.25, with a = 0.005. X2   (b) Determine the critical value and critical region that would be used in the classical approach to test Ho: P(1) = 0.25, P(2) = 0.40, P(3) = 0.35, with a = 0.1. X2

Consider a test of H 0: μ = 50 performed with the computer. SPSS reports a two-tailed p-value of 0.0574. Come to the appropriate conclusion for the given situation: H a: μ <50, z = -1.9, α = 0.05

See the attached image for the introduction.  Is there evidence that Square Feet(x1), Price/Square Feet(x2), and Bathrooms(x3) together provide important information for predicting price? In terms of variables xi and parameters βi, write the null and alternative hypotheses. Find the statistics and its corresponding p-value.State your conclusion.

12-6. A regression model is to be developed for predicting the ability of soil to absorb chemical contaminants. Ten obser- vations have been taken on a soil absorption index (y) and two regressors: x₁ = amount of extractable iron ore and x₂ = amount of bauxite. We wish to fit the model y = Bo + B₁ x₁ + B₂x₂ + €. Some necessary quantities are: 1.17991 -7.30982 E-3 7.3006 E-4 (X'X)¹ = -7.30982 E-3 7.9799 E-5 -1.23713 E-4, 7.3006 E-4 -1.23713 E-4 4.6576 E-4 220 X'y = 36,768 9,965 (a) Estimate the regression coefficients in the model specified. (b) What is the predicted value of the absorption index y when x₁ = 200 and x₂ = 50?

Find the critical value, to, from the t table for the given parameters. α-0.01 n=31 two – tailed test Give a single number answer. Positive or Negative