6. In Excel make a histogram of Xį = − ln(U₁), for i=1,2,..., 10000, where the U₂'s are independent Unif(0,1)RV's. Also answer questions below.(a) Compute the estimate of the mean and its 95% confidence interval. Explain in words the meaning of theconfidence interval.(b) What kind of distribution does it look like?

Xi=−ln⁡(Ui) for i = 1, 2, . . . , 10000, where the U's are independent Unif(0, 1) RV's.

Answered: 6. In Excel make a histogram of X; = —…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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.
Of 100 students, 27 can speak French F, 36 can speak German G, and 14 can speak both French and German. How many students speak neither French nor German? Oa. 49 O b.35 O c. 51 Od. 63 O e. 14
One group of accounting students took a distance learning class, while another group took the same course in a traditional classroom. At α = .10, is there a significant difference in the mean scores listed below? Exam Scores for Accounting Students Statistic Distance Classroom Mean scores x¯1x¯1 = 9.7 x¯2x¯2 = 10.0 Sample std. dev. s1 = 2.7 s2 = 2.9 Number of students n1 = 23 n2 = 23 Specify the decision rule. (Round your answers to 3 decimal places. A negative value should be indicated by a minus sign.) Find the test statistic tcalc. (Round your answer to 4 decimal places. A negative value should be indicated by a minus sign.) Use Excel to find the p-value. (Round your answer to 3 decimal places.)
From the following data calculate (i) Correlation coefficient (ü) Standard Deviation of Y (Gy) X=-85 Y Y= 89 X Gz=3
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The mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally distributed with standard deviation 1 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible.a. What is the distribution of X? ~ N( , )b. What is the median giraffe height? ________ ft.c. What is the Z-score for a giraffe that is 20 foot tall? _________

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