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- Use the ALEKS calculator to solve the following problems. (a) Consider at distribution with 11 degrees of freedom. Compute P(-1.97Compute the upper and lower limits for the following data at a 95% CI, when M1 = 20, M2 = 15, t = 2.145 (this is the t-value you would get from the table), and S(M1-M2) = 1.34.Use the ALEKS calculator to solve the following problems. (a) Consider at distribution with 19 degrees of freedom. Compute P (t>1.67). Round your answer to at least three decimal places. P(121.67)-0 (b) Consider at distribution with 22 degrees of freedom. Find the value of c such that P(-cUse the ALEKS calculator to solve the following problems. (a) Consider at distribution with 4 degrees of freedom. Compute P(-1.35Use the ALEKS calculator to solve the following problems. (a) Consider at distribution with 30 degrees of freedom. Compute P(tz1.68). Round your answer to at least three decimal places. P(t2 1.68) = ] (b) Consider at distribution with 15 degrees of freedom. Find the value of c such that P(-cHighway engineers use f(x) = (0.905)* to estimate the likelihood, or probability, that no vehicle will enter a particular intersection within an interval of x seconds. Construct a table of f(x) = (0.905)* starting at x = 0 and incrementing by 10, until x = 50. a. Evaluate f(1) and interpret the result. b. For a time interval of what length is there only a 2% chance that no cars will enter the intersection?t has been suggested that gossiping about others may affect how likeable you are. Two groups of participants are asked to read a vignette describing a fictional person. They are then asked to rate how much they would like the person described in the vignette on a continuous scale from 1-15, where higher scores represent a higher likability. The first group of participants (n=20) reads a vignette describing a person that frequently gossips and obtains an average likability score of (M1) with a variance of (S12). The second group of different participants (n=20) reads a vignette describing a person that never gossips and obtains an average likability score of (M2) with a variance of (S22). Given that there is not much research in this area, test the hypothesis that gossiping impacts likability at an alpha=0.05. 1, Are the results you obtained meaningful? report the results here for your effect size showing all your work and your interpretation 2. Report the results of the study…Use 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(-cHarper collected data on students who make appointments to see their advisor to see how many failed to show up. The student records were divided into two groups: male (group 1) and female (group 2). A 93% confidnece interval for pi – P2 was found to be as follows: (0.03, 0.09) Interpret the endpoints of this interval in the context of this problem. Do not use the word "difference" in your answer.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. FreemanMATLAB: 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. Freeman