Problem 5. Let X1,..., Xn be independent random variables with X; having a Poisson(j0) distributionfor j = 1,..., n.(1) Find a complete and sufficient statistic.Find the BUE of 0.(3) Find the BUE of 02.(4) Find the BUE of exp(0).

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The linear correlation coefficient is r=0.9780.978. (Round to three decimal places as needed.) Determine the null and alternative hypotheses. H0:ρ ____ ______ H1:ρ _____ _______ (Type integers or decimals. Do not round.) The test statistic is t= (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) Because the P-value of the linear correlation coefficient is less than or equal to: the significance level, there is: sufficient evidence to support the claim that there is a linear correlation between bill amounts and tip amounts. If everyone were to tip with the same percentage, then r= (Round to three decimal places as needed.)
A special education teacher did research on whether or not there is a relationship between the number of students in his class and the number incidents of “acting out” behaviors exhibited by the autistic students in the classroom. He collects data for a year and aggregates them by month. He obtained the statistics below, r= -.863 R2=.74 b= -1.212294 a= 131.176598 10.) How does the presence of more students affect the incidents in the class? a) as students are added the incidences increase b) as students are added the incidences decrease c) the number of students does not affect acting out d) the number of students caused more incidents How much of the variability of acting out is explained by the number of students in the class?___________
The data below are the final exam scores of 10 randomly selected statistics students and the number of hours they slept the night before the exam. Calculate the linear correlation coefficient. n = 10 Σx = 70 Σy = 700 Σx 2= 504.4 Σy 2 = 53410 Σxy = 5126.8
To measure the relation between the gender and education level, which one is the appropriate statistic? Select one: O a. Cramer's V b. Phi (f) c. Spearman's rank correlation d. Correlation coefficient e. Gamma
Travis does research with a marine biology research team. His job is to catch lobsters, weigh them, tag them, and return them to the water. Over the years, the team has determined that the average weight in pounds of the lobsters caught at a particular location was µ = 2.1 lbs. with a σ of 1.8 lbs. As part of an annual survey, Travis catches 27 lobsters with a mean of 3.1 lbs. Is he correct in assuming that the lobsters he caught are significantly heavier that those usually found in that location? Please use α = .05 and a two-tailed test.
The multiple correlation (R) is: The correlation between predicted and observed scores. The sum of the simple r's. The highest simple r. Always between 0 and 1 (inclusive).
Test Scores An instructor who taught an online statistics course and a classroom course feels that the variance of the final exam scores for the students who took the online course is greater than the variance of the final exam scores of the students who took the classroom final exam. The following data were obtained. At =α0.05 is there enough evidence to support the claim? Use σ21 for the variance of the online scores. Use the critical value method and tables. State the Hypothesis and Identify the claim: H0: Claim or not a claim H1: Claim or not a claim Find the critical Value: Round the answer to at least two decimal places. Compute the test value: Make the decision reject or accept the null hypothesis. Summarize the results. Is there enough evidence to support the claim? Online Course Classroom Course =s13.4 =s22.2 =n121 =n231
(b) x = 25.1 Find the value of the test statistic. Find the p-value. p-value - State your concluslon. O Reject Ho. There is sufficient evidence to conclude that u z 22. Reject Hg. There is insufficient evidence to conclude that u = 22. O Do not reject Ho. There is insufficient evidence to conclude that u + 22. O Do not reject Ho: There is sufficient evidence to conclude that u + 22. (c) x = 21 Find the value of the test statistlc. Find the p-value. p-value = State your conclusion. O Reject Ho. There Is sufficlent evidence to conclude that u + 22. O Reject Hg. There is insufficient evidence to conclude that u + 22. O Do not reject Ho- There is insufficient evidence to conclude that pu + 22. O Do not reject Hp. There is sufficient evidence to conclude that u + 22.
Which of the following tables can be used as a more exact substitute for the empirical rule? t table chi squared table O F table O z table
The proportion of students who get an undergraduate degree in statistics in four years was compared for meals and females. Random sample of 200 male statistics majors and 200 female statistics majors were taken. Choose the appropriate parameter(s) for this situation. [Hint: The .parameter(s) to be used in your hypothesis] ule u 2.00 jo None of these .A O P1-P2.B O H.C O Hi- H2.D O P.E O إنهاء المحاولة . . . PREVIOUS ACTIVITY Note P Type here to search Ae Ps 近

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(1) Find a complete and sufficient statistic. (2) Find the BUE of 0. (3) Find the BUE of 0².