Use the ALEKS calculator to solve the following problems. (a) Consider at distribution with 8 degrees of freedom. Compute P (t<1.14). Round your answer to at least three decimal places. P(t<1.14)= I (b) Consider at distribution with 13 degrees of freedom. Find the value of c such that P(-c
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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- The following Minitab display gives information regarding the relationship between the body weight of a child (in kilograms) and the metabolic rate of the child (in 100 kcal/ 24 hr). Predictor Coef SE Coef T P Constant 0.8678 0.4148 2.06 0.84 Weight 0.40376 0.02978 13.52 0.000 S = 0.517508 R-Sq = 94.6% (a) Write out the least-squares equation. = + x (b) For each 1 kilogram increase in weight, how much does the metabolic rate of a child increase? (Use 5 decimal places.)(c) What is the value of the correlation coefficient r? (Use 3 decimal places.) 4.The following Minitab display gives information regarding the relationship between the body weight of a child (in kilogramS) and the metabolic rate of the child (in 100 kcal/ 24 hr). Predictor Сoef SE Coef T P Constant 0.8489 0.4148 2.06 0.84 Weight 0.39647 0.02978 13.52 0.000 S = 0.517508 R-Sq = 97.4% (a) Write out the least-squares equation. (b) For each 1 kilogram increase in weight, how much does the metabolic rate of a child increase? (Use 5 decimal places.) (c) What is the value of the correlation coefficient r? (Use 3 decimal places.)(a) Consider at distribution with 15 degrees of freedom. Compute P (t>-1.83). Round your answer to at least three decimal places. P(t>-1.83)= [ (b) Consider at distribution with 4 degrees of freedom. Find the value of c such that P(-cIn baseball there are many ways to estimate what a team's winning percentage (w) should be against its opponents, given the total runs it has scored and the total runs it has allowed in a certain number of games. Bill James's Pythagorean Formula for the winning percentage estimator is given below. wpe = w = [(# runs scored)2]/[(# runs scored)2 + (# runs allowed)2] A team has currently scored 369 runs and allowed 329 runs. If the team does not allow any more runs for the rest of the season, how many additional runs must they score in order to have a wpe of 80%? (Hint: Let x = the number of runs additional scored.)Stoaches are fictional creatures, sometimes mistaken for mome raths. Suppose a two-tailed t-test is conducted to test for a difference between the population means of adult female stoach weights and adult male stoach weights. The female sample has 13 weights, and the male sample has 7 weights. The t-statistic for the test is -0.20542. What is the p-value? (Give your answer to 4 decimal places.) p-value:(a) Let X be a normal r.v. with mean u =12 and standard deviation o = 1.5. Find P( X 13 ) = (c) Let X be a normal r.v. with mean u =7 and standard deviation o = 1.5. Find P( 5Use the ALEKS calculator to solve the following problems. (a) Consider at distribution with 15 degrees of freedom. Compute P (t<-1.86). Round your answer to at least three decimal places. P (t<-1.86)=[] (b) Consider at distribution with 10 degrees of freedom. Find the value of c such that P(-cThe average time to handle a call in a call center has a specification of 6 ± 1.25 minutes. The loss resulting from a mishandled call is $10. Five consecutive calls were drawn from the process and the results, in minutes, are as follows: 7.3 6.6 6.2 4.3 6.7 1. According to the conventional perspective, the quality loss per call = 2. The value of k in the Taguchi loss function = 3. The Quality loss per call according to the Taguchi perspective =Suppose that tax paid by a certain person per year is denoted T;, and is calculated using the following relationship to that persons gross income (G₁): Ti = 0.25(G₁ - 10000) (i.e, only people who have an income over $10,000 per year are taxed, and only the income beyond $10,000). You are told that the total gross income for an area with 200 people is $6,000,000. Assume that all the people measured make over $10,000 a year. (a) Find the total taxes collected for the 200 people. (b) Find ΣT; for the 200 people. 100 (c) Find (2G₁ – 40) for the 200 people.Recommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. 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