Answer from A to C Also, please use the Statistical tables provided ProbabilityPoisson distributionP(A or B) = P(A) + P(B) – P(A and B)P(A and B) = P(A) x P(B) for independent eventsX- Po(A)P(A and B) = P(A) x P(B|A) for dependent eventsP(X - x) = **x!P(A and B)P(B|A) =P(A)Confidence IntervalNormal Distribution1. z-confidenceinterval:X- N(4, ơ)X-u2. t-confidenceinterval:1. Standard normal: Z -(df -n-1)3. Confidence intervalfor proportion:P(1 – P)nSampling Distribution1. 4 =42.Test StatisticsX-41. z-test for p : 2=3.X - µ2.t-test for u: t =(d.f. = n-1)S/ VnDiscrete Probability Distribution3. z-test forp: z-» np 2 51. EÇX) = µ, = Ex,P,P(1 - P),and np z 5 (where q = 1-p)Var(X) = o = 2(x, -4,)°p,%3D%3D4. Chi-square test statistic = y0- E)(0-E)Binomial DistributionΣX- Bin(n, p)n-kP(X - k) -P" (1-n!p (1-n-kk!(n -k)! Question 4Beachcomber Ltd in a local car dealership that sells used and new vehicles. The manager of thecompany wants to know how different variables affect the sales of his vehicles. A random sample ofyearly data was taken with the view to testing the model:SALĖS-a+BAGE+YMIL+8ENGWhere SALES= amount that a vehicle is sold for($000's), AGE = age of the vehicle, MIL= the totalmileage of the vehicle at the point of sale and ENG = the size of the engine. The sample of data wasprocessed using MINITAB and the following is an extract of the output obtained:The regression equation is *****PredictorCoefStDevt-ratiop-valueConstant1.75860.25256.96480.0000AGE0.21240.31750.5042MIL-0.75270.3586-2.0991ENG4.81240.61967.76640.0000Analysis of VarianceSourceDFMSFRegression3413.1291138.7097+**0.00Error50457.76072.2888Total53a) What is dependent and independent variables?b) Fully write out the regression equationc) Fill in the missing values ***, ****, and **d) Hence test whether 8 is significant. Give reasons for your answer.e) Perform the F Test making sure to state the null and alternative hypothesis.f) Given an interpretation of the term "R-sq" and comment on its value.

Name: Answer from A to C Also, please use the Statistical tables provided Pr
Uploaded: 2024-03-20T07:07:12.000Z
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Description: Answer from A to C Also, please use the Statistical tables provided ProbabilityPoisson distributionP(A or B) = P(A) + P(B) – P(A and B)P(A and B) = P(A) x P(B) for independent eventsX- Po(A)P(A and B) = P(A) x P(B|A) for dependent eventsP(X - x) = **