The following table gives the number of days in a 50-day period đuring which auto-mobile accidents occurred in a certain part of a city. Fit a Poisson distribution to the data.3No. of defects :24No. of units1918841

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Answered: The following table gives the number of…

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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(b) Predict what will happen to the data distribution if outlier exists in the data.
3. The number of planes landing in a busy airport during 10-minute intervals is thought to have a Poisson distribution. To test this hypothesis 500 trials were recorded. The table shows the number of trials when 0, 1, 2, 3, 4 or more planes landed during each 10-minute interval. Number of planes 0 1 2 3 4 or more Number of trials 408 81 10 1 0 i. Fit a Poisson distribution to the above data. ii. Test the hypothesis that the variable, X 'the number of planes landing in the airport during 10-minute intervals' has a Poisson distribution using a 0.01 level of significance.
j) The data in the table below represents the number of small factories in northern England in which industrial injuries resulted in claims for compensation within a certain period. Number of Number of Claims factories reporting number of claims 144 1 91 2 32 10 4 2 5 and above It is suspected that the number of injuries per factory follows a Poisson distribution with mean of 0,71. Using the 5% level of significance, test if the Poisson distribution suspected, is of good fit to the data.
(c) The problem of illegal parking in front of a busy shopping center has been monitored by the building management. The frequency distribution of the number of violation tickets issued per day (from Monday to Friday during business hour) is as follows. Determine whether the Poisson distribution provides a good fit to the data at a confident level of 95% or not. Number of violation tickets Number of days 1 1 11 2 19 3 23 4 14 5 10 6. 4 7 2 >=8
Hi, I'd really appreciate your help with this question. I'm not sure how to calculate the mean if the values greater than 8 are unknown.
The number of times a machine broke down each week was observed over a period of 100 weeks and recorded in the accompanying table. It was found that the average number of breakdowns per week over this period was 2.1. Test the null hypothesis that the population distribution of breakdown is Poisson.Number of breakdowns 0 1 2 3 4 5 or moreNumber of weeks 10 24 3 2 23 6 5
An author showed that the number of soldiers in a country's cavalry killed due to a certain type of accident in each of 14 cavalry corps over a 20-year period followed a Poisson distribution. The data summary follows. Number of deaths 0 1 2 3 4 Frequency 147 88 35 14 (a) Find the mean number of deaths per year per cavalry unit. [HINT: Use the formula for the mean of grouped data.] (Round your answer to two decimal places.) (b) Use the result of part (a) and the Poisson distribution to find the probability of exactly one death per unit per year. (Round your answer to three decimal places.) (c) Find the probability of at most two deaths per year. (Round your answer to three decimal places.) (d) How do the probabilities in parts (b) and (c) compare to the observed relative frequencies in the table? (Round your answers to three decimal places.) From the table, the proportion of times that one soldier was killed is The probability calculated from the Possion probability is Based on the…
From reviewing the temperature data for one of the regions of Iraq for a period of time, it was found that 15% of the days of the month of July (the number of days is 31) have a maximum temperature of more than 42 degrees Celsius and that 5% of the days of July have a temperature of less than 36 degrees Celsius. If you know that the temperature for the month of July in this region is subject to a normal distribution, then the mean and standard deviation S for this distribution are equal to:
In a random sample of sixteen different industries the percentage employment x in STEM (science, technology, engineering, mathematics) and mean annual compensation y(in thousands of dollars) were recorded, with the following results. The scatter diagram showed a linear trend. SSx = 1303.9 SSsy= 1503.0 SSy = 2660.2 Ey = 915 n= 16 %3D Ex = 150 .1 1sx<34 36.7 s y < 90.5 Predict the mean annual compensation in industries in which 30 percent of the workforce are in a Stem field. You answer should be entered in thousands of dollars. Example: If you calculate y-hat as 40.6 then the answer you enter should be 40,600
Historically it has been observed that patients admitted to a certain hospital for treatment of influenza spend a MEAN length of 4.4 days in the hospital. Every flu season, different strains of the flu circulate: Some years the primary strain causes more severe illness (and presumably longer than average hospital stays) and other years less so (meaning presumably shorter than average stays). We assume the hospital stays are NORMALLY distributed. a. A hospital wants to see how this year's flu season compares to previous years. Therefore, state the null and alternate hypotheses that would be used to test whether the hospital is seeing a mean hospital stay that is significantly DIFFERENT than the historical mean of 4.4 days. b. FIFTEEN patients admitted for influenza treatment are then randomly sampled and the length of their hospital stay in days is given below. 4641056443743774 SAMPLE MEAN =? SAMPLE STANDARD DEVIATION =? c. Using the results of part (b), determine what type of test is…
An immunologist wants to compare two rabies vaccines. People who had previously received the vaccine were divided into two groups. The first group received a booster dose of type I vaccine and the second group received a booster dose of type II vaccine. Two weeks later the antibody level was measured. The average number of antibodies in each group appears in the following table Do these data indicate that there is a difference in the effectiveness of the two vaccines used for booster doses? Assume a normal distribution and equal population variances. The test statistic that will determine if there is a difference in the effectiveness of the two vaccines..... A. 2,579 B. 2.76 C. 0.58 D. 0.787

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The following table gives the number of days in a 50-day period đuring which auto- mobile accidents occurred in a certain part of a city. Fit a Poisson distribution to the data. 3 No. of defects : 2 4 No. of units : 19 18 4 1