wing concepts to their definitions
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Q: Solve it and explain the answer on the paper!
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Matching the following concepts to their definitions
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- Suppose that we have two attributes, gender and programs and, we observe the values of bothvariables through a random sample as given below: a. selected student is male or from the Computing Engineering b. selected student is female given that she is from Electronics and Instrumentation c. selected student is not from the Computing Engineering T =28What is the Discrete Variable Standard Deviation for the following numbers:x = 0 and P(X = x) = 0.51x = 1 and P(X = x) = 0.11x = 2 and P(X = x) = 0.09x = 3 and P(X = x) = 0.16x = 4 and P(X = x) = 0.13Check the hypotheses of Rolle’s Theorem and the Mean Value Theorem and find avalue of c that makes the appropriate conclusion true for ?(?) = ?3 − ?2 − 2? onthe interval [1, 3].
- If Y has a binomial distribution with n trials and a probability of success p, show that the functiongenerator of moments for Y is: m(t) = (pe' +q)n with q = 1− pA researcher is using a two-tailed hypothesis test with α = 0.05 to evaluate the effect of a treatment. If the boundaries for the critical region are t = ± 2.080, then how many individuals are in the sample?A tax accountant would like to test the claim that the proportion of individuals who owe when filing their taxes is greater than 0.20. If the z− test statistic was calculated as z=1.94, does the tax accountant have enough evidence to reject the null hypothesis? Assume α=0.05.
- "On average, which value is expected for the F-ratio if the null hypothesis is true?" F = 0 F = k 1 F = N k F = 1the null and alternative hypothesis are given. h0: p= 0.84 h1: pgreater than .84 determine left, right or two tailed and the parameter that is being testedA statistician has to decide on the basis of two obser-vations whether the parameter θ of a binomial distribu-tion is 1 4 or 12 ; his loss (a penalty that is deducted from hisfee) is $160 if he is wrong.(a) Construct a table showing the four possible values ofthe loss function. (b) List the eight possible decision functions and con-struct a table showing all the values of the corresponding risk function.(c) Show that three of the decision functions are notadmissible.(d) Find the decision function that is best according to theminimax criterion.(e) Find the decision function that is best according to theBayes criterion if the probabilities assigned to θ = 14 and θ = 12 are, respectively, 23 and 13 .
- For each of the following situations, state whether you would use a chi-square goodness-of-fit test, a chi-square test of homogeneity, a chi-square test of independence, or some other statistical test. Complete parts a) through c) below. a) Is the quality of a car affected by what day it was built? A car manufacturer examines a random sample of the warranty claims filed over the past two years to test whether defects are randomly distributed across days of the work week. Choose the correct answer below. A. Chi-square test of independence. You have data on two variables, day and quality, for one manufacturer. B. Chi-square goodness-of-fit test. You want to see if the distribution of defects is uniform over the variable day. C. Chi-square test of homogeneity. You have two samples and one variable, day. You want to see if the distribution of quality is the same in the two years. D. Some other statistical test. The variable day is…Show that for ν > 2 the variance of the t distributionwith ν degrees of freedom is νν − 2 . (Hint: Make the sub-stitution 1 + t2ν = 1u.)A veterinarian claims that the mean weight of adult German shepherd dogs is 75 pounds. The test statistic is -2.01 when a researcher applied hypothesis test to test a veterinarian's claim at ?=0.05α=0.05. Find the critical value(s) and state the conclusion.