(a) Consider a t distribution with 10 degrees of freedom. Compute P(t2-1.33). Round your answer to at least thre decimal places. P(t2-1.33)= (b) Consider a t distribution with 15 degrees of freedom. Find the value of c such that P(-c
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- #5 Find the probabilityD=20 answer part c only please!SAT scores are normally distributed with mean = 1000 and standard deviation = 200. 15) Take a sample of 30 students. According to the Central Limit Theorem, what is the distribution N(A,B) of the sample mean SAT scores x of the 30 students? Put the value of A in the top box and the value of B in the bottom box. (Round B to 2 decimal places) a. b. 16) Using the distribution you found in #15, if you have a sample of 30 students, find the z-score if the sample mean SAT score ("x-bar") for the 30 students is 972. 17) Find the Table A entry for the z-score you found in # 16. ( 18) Using the previous answers in this section, determine the probability that the mean SAT score of the 30 students is below 972.
- Fill in the blanks to complete the following statements. (a) For the shape of the distribution of the sample proportion to be approximately normal, it is required that np(1 -p) 2 (D) Suppose the proportion of a population that has a certain characteristic is 0.3. The mean of the sampling distribution of p from this population is u. = (a) For the shape of the distribution of the sample proportion to be approximately normal, it is required that np(1 - p) 2 (Type an integer or a decimal.)Q3Q1
- Number 2(a) Consider a t distribution with 9 degrees of freedom. Compute P(-1.48Comment on the shape of the distribution. Images attached.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