Example The superintendent of a large school district, having once had a course in probability and statistics, believes that the number of teachers absent on any given day has a Poisson distribution with parameter A. Using the accompanying data on absences for 50 days to derive a large-sample 95% confidence interval for A. Number of absences | 0 1 2 Frequency 3 4 5 6 7 8 9 10 1 4 8 10 8 7 5 3 2 1 1 [Hint: The Poisson population has mean A and variance d, so basically speaking, we are still trying to estimate the population mean using sample mean. And, by the central limit theorem, approximately X ~ N ( A, n

Example The superintendent of a large school district, having once had a course in probability and statistics, believes that the number of teachers absent on any given day has a Poisson distribution with parameter A. Using the accompanying data on absences for 50 days to derive a large-sample 95% confidence interval for A. Number of absences | 0 1 2 Frequency 3 4 5 6 7 8 9 10 1 4 8 10 8 7 5 3 2 1 1 [Hint: The Poisson population has mean A and variance d, so basically speaking, we are still trying to estimate the population mean using sample mean. And, by the central limit theorem, approximately X ~ N ( A, n

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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Question #8
Figure 1 shows the no. of Australian tourist arrivals to Malaysia from the year 2010 to 2019. 2010 2011 2012 2013 2014 2015 2016 2017 2018 2019 0.58 0.56 0.51 0.53 0.57 0.49 0.38 0.35 0.35 0.37 Figure 1: Average no. of Australian tourist arrivals to Malaysia per year Based on the data in Figure 1, construct a 95% confidence interval to estimate the mean no. of Australian tourist arrivals per year to Malaysia. 2. Based on the data in Figure 1, at 0.05 level of significance, can we claim that in general, the mean no. of Australian tourist arrivals per year to Malaysia is lower than 4 million. Use the critical value approach. 3. Compare the result in 1(a) and 1(b) and make your final conclusion.
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