(iii) Find (or estimate) the P-value.OP-value > 0.250O 0.125 < P-value < 0.250O 0.050 < P-value < 0.125O 0.025 < P-value < 0.050O 0.005 < P-value < 0.025O P-value < 0.005Sketch the sampling distribution and show the area corresponding to the P-value.02MA-20OO-4-224DO0-Responses/last?dep=3258714024DO^0(iv) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant.O At the α = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.O At the α = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant.O At the α = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant.(v) Interpret your conclusion in the context of the application.O Fail to reject the null hypothesis, there is insufficient evidence that violent crime in the Rocky Mountain region is higher than in New England.O Fail to reject the null hypothesis, there is sufficient evidence that violent crime in the Rocky Mountain region is higher than in New England.O Reject the null hypothesis, there is sufficient evidence that violent crime in the Rocky Mountain region is higher than in New England.O Reject the null hypothesis, there is insufficient evidence that violent crime in the Rocky Mountain region is higher than in New England.2E A random sample of n₁ = 10 regions in New England gave the following violent crime rates (per million population).X₁: New England Crime Rate3.3 3.7 4.0 3.9 3.3 4.1 1.8 4.8 2.9 3.1Another random sample of n₂ = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population).X2: Rocky Mountain Crime Rate4.3 4.7 5.5 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.83.5USE SALTAssume that the crime rate distribution is approximately normal in both regions.(a) Use a calculator to calculate X₁, S1, X2, and S₂. (Round your answers to four decimal places.)X1 =S1 =x₂ =S₂ =(1)(b) Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use a = 0.01.What is the level of significance?State the null and alternate hypotheses.о но н1 = Hzi H1: H1> H20 Ho: H1 = Hzi H1: H1 + H2O Ho: M1 0.250

Sample sizes:Data values are:x1x23.33.53.74.344.73.95.53.33.34.14.81.83.54.82.42.93.13.13.55.22.8

Answered: A random sample of n₁ = 10 regions in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A statistical program is recommended. A paper gave the following data on n = 11 female black bears. Age(years) Weight(kg) Home-RangeSize (km2) 10.5 54 43.0 6.5 40 46.6 28.5 62 57.4 6.5 55 35.7 7.5 56 62.0 6.5 62 33.8 5.5 42 39.7 7.5 40 32.3 11.5 59 57.2 9.5 51 24.3 5.5 50 68.6 (a) Fit a multiple regression model to describe the relationship between y = home-range size and the predictors x1 = age and x2 = weight. (Round your numerical values to four decimal places.) = (b) If appropriate, carry out a model utility test with a significance level of 0.05 to determine if at least one of the predictors age and weight is useful for predicting home range size. State the null and alternative hypotheses. H0: ?1 = ?2 = 1Ha: at least one of ?1 or ?2 is not 1.H0: At least one of ?1 or ?2 is not 1.Ha: ?1 = ?2 = 1 H0: ?1 = ?2 = 0Ha: at least one of ?1 or ?2 is not 0.H0: At least one of ?1 or ?2 is not 0.Ha: ?1 = ?2 = 0 Calculate the test…
Given the following frequency table, the 10. sample Variance (S ) is 3 4 1. 12 13 15 10
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