(a)Consider a t distribution with 7 degrees of freedom. Compute P(−1.95 < t < 1.95). Round your answer to at least three decimal places. P(−1.95 < t < 1.95) = (b)Consider a t distribution with 2 degrees of freedom. Find the value of c such that P(t≤c) = 0.10. Round your answer to at least three decimal places. c =
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- Let X be normally distributed with mean = 3.3 and standard deviation o=1.8. a. Find P(X> 6.5). Note: Round your final answer to 4 decimal places. P(X> 6.5) b. Find P(5.5 ≤ x ≤7.5). Note: Round your final answer to 4 decimal places. P(5.5 ≤ x ≤ 7.5)Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15. A graph with a bell-shaped curve, divided into 3 regions by 2 lines from top to bottom, one on the left side and one on the right side. The region between the lines is shaded. Moving from left to right, the x-axis below the first line is labeled 75. The x-axis below the second line is labeled 110.Determine the t-value in each of the cases. Click the icon to view the table of areas under the t-distribution. (a) Find the t-value such that the area in the right tail is 0.005 with 7 degrees of freedom. (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.025 with 16 degrees of freedom. (Round to three decimal places as needed.) (c) Find the t-value such that the area left of the t-value is 0.02 with 22 degrees of freedom. [Hint: Use symmetry.] (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to 90% confidence. Assume 9 degrees of freedom. (Round to three decimal places as needed.)
- Determine the rejection region for a hypothesis test for the population mean using the give information. Assume that the population standard deviation is unknown, the sample size is small, and the population distribution is approximately normal. Write your answer in a format exactly as in the following examples, "t <= -2.203", or "t >= 1.706", or "|t| >= 1.305". Do not forget the SPACE after t and the SPACE before the number. Also make sure to enter the digit 0 before the decimal point. ?=0.90,??=18 two-tailed test Reject H0 ifThe round off errors when measuring the distance that a long jumper has jumped is uniformly distributed between 0 and 5.8 mm. Round values to 4 decimal places when possible. b. The standard deviation is c. The probability that the round a. The mean of this distribution is off error for a jumper's distance is exactly 0.3 is P(x-03)-d. The probability that the round off error for the distance that a long jumper has jumped is between 0 and 5 8 mm is PC1.7 x 5.2)- that the jump's round off error is greater than 1.76 is P(x > 1.76) Find the 81st percentile. e. The probability f P(x > 1.4 x > 0.6) h. Find the mnmum for the upper quartile.Find the standard deviation, s, of sample data summarized in the frequency distribution table below by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values, 11.1. n[Σ(f•x?)] - [Σ(-x)]2 n(n −1) Interval 58-64 65-71 72-78 30-36 1 37-43 4 44-50 4 51-57 2 Frequency 31 39 CO Standard deviation = (Round to one decimal place as needed.)
- Let Xbe normally distributed with mean u=2.5 and standard deviation o = 1.8. [You may find it useful to reference the z table.] a. Find PX> 6.5). (Round your final answer to 4 decimal places.) P(X>6.5) b. Find A5.5 sXs7.5). (Round your final answer to 4 decimal places.) P(5.5 sXs7.5) c. Find x such that PX> x) = 0.0869. (Round your final answer to 3 decimal places.) b. Find P5.5 sXs7.5). (Round your final answer to 4 decimal places.) P(5.5 sXs7.5) c. Find x such that PX> x) = 0.0869. (Round your final answer to 3 decimal places.) d. Find x such that P(xs Xs 2.5) = 0.1255. (Negative value should be indicated by a minus sign. Round your final answer to 3 decimal places.)Use the ALEKS calculator to solve the following problems. (a) Consider a t distribution with 22 degrees of freedom. Compute P(-1.89The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/20 where x goes between 1 and 21 minutes. Round answers to 4 decimal places when possible. a. This is a Select an answer distribution. b. It is a Select an answer v distribution. c. The mean of this distribution is d. The standard deviation is e. Find the probability that the time will be at most 13 minutes. f. Find the probability that the time will be between 6 and 16 minutes. g. Find the 30th percentile. h. Find the probability that the time is more than 17 minutes given (or knowing that) it is at least 3 minutes.Use the ALEKS calculator to solve the following problems. |(a) Consider a t distribution with 17 degrees of freedom. Compute P (-1.46Find the z-score corresponding to the given value and use the z-score to determine whether the value is significantly low or high. Consider a score to be significantly low if its z-score is less than or equal to -2. Consider a z-score to be significantly high if it is greater than or equal to 2. Round the z-score to the nearest tenth if necessary. A body temperature of 96.7° F given that human body temperatures have a mean of 98.20° F and a standard deviation of 0.62°.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