3.The number of planes landing in a busy airport during 10-minute intervals is thoughtto have a Poisson distribution. To test this hypothesis 500 trials were recorded. Thetable shows the number of trials when 0, 1, 2, 3, 4 or more planes landed duringeach 10-minute interval.Number of planes01234 or moreNumber of trials408811010i. Fit a Poisson distribution to the above data.ii. Test the hypothesis that the variable, X 'the number of planes landing inthe airport during 10-minute intervals' has a Poisson distribution using a 0.01level of significance.

The distribution of the number of planes landing in a busy airport is given by: Number of planes…

Answered: The number of planes landing in a busy…

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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A new car dealer is leasing various brand new randomly selected models for the monthly rates listed below. Estimate the true population variance in leasing rates with 90% confidence. Assume the variable is normally distributed. Round to the nearest hundredth for all calculations. 170 172 198 240 241 248
A scientist claims that pneumonia causes weight loss in mice. The table shows the weights (in grams) of six mice before infection and two days after infection. At a=0.05, is there enough evidence to support the scientist's claim? Assume the samples are random and dependent, and the population is normally distributed. Mouse 1 4 6. Weight (before) Weight (after) 20.8 22.4 21.7 23.6 19.6 19.9 20.8 22.5 21.5 23.7 19.5 19.8 1) Find the standardized t test 2) Find the P-value 3) Decide whether to reject or fail to reject the null hypothesis. 4) Interpret the decision in the context of the original claim. 19,600
A merchant sells on the average 2.3 cakes on a round of his route. Cakes are packaged two to a box but are sold individually. At the end of the round, the salesman eats any cake left over in a box that has been opened. He only opens a box after emptying the previous box. If the number of cakes sold has a Poisson distribution, then on what proportion of rounds does he have a cake to eat? (4 decimal accuracy).
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…
The table gives information on majors at a certain college. Sketch an appropriate graph of the distribution, and comment on its important features. Click the icon to view the table of majors information. One type of graph appropriate for showing this distribution is a bar chart. Which of the following bar charts correctly shows the given distribution? ○ A. Porcentage О в. Q 50- 50- 40- 40- 30- 20 30- 20- G 10- 10- 0+ 0+ HSS MS T Major H'SS'MS' T Major A. Pie chart ○ C. 50- Q 40- Percentage 30- 20 10- 0+ HSS MSI Major Which of the following would also be appropriate graphs for showing the given distribution? Select all that apply. ☐ ☐ ☐ ☐ B. Stemplot C. Pareto chart D. Histogram E. Dotplot F. None of the above Which of the following is the best description of the distribution's important features? OA. The mode is Social Science (SS). OB. The mode is Humanities (H). Majors ○ D. 50- Q Percentage 40- 30- 20- 10- 0+ H SS MSI Major Major H. Humanities SS. Social Science Percentage 39 17 MS.…
Hi, I need your help. I would be very happy, if you give detailed explanation. Thanks
Hi, I need your help.I would be very happy if you could give detailed explanation. Thanks
Question 2: At her job, Jackie has been working at her job for a few years now and feels like she, as well as everybody else in her department, is well overdue for a raise. Instead of collecting signatures of her colleagues in support of a pay raise, her boss sends out a poll to all employees in all departments to get a feel for what the others think. Assuming Jackie's boss wants only a 5% margin of error and a 99% confidence interval, what sample size is needed? Even though nobody that works there is not missing half of their body, it is okay if the sample size needed includes a decimal.
Fit a Poisson distribution to the following set of data : No. of Death: 1 4 Frequency: 142 156 69 27 1
The data is as follows: 2 0's, 6 1's, 10 2's, 32 3's, 50 4's, 69 5's, 50 6's, 38 7's, 19 8's, 12 9's, and 4 10's.
In this exercise involving paired differences, consider that it is reasonable to assume the populations being compared have approximately the same shape and that the distribution of paired differences is approximately symmetric. Percents of on-time arrivals for flights in 2006 and 2007 were collected for 11 randomly selected airports. Suppose data for these airports follow. Airport 1 2 3 4 5 6 7 9 10 11 Percent On-Time 2006 71.78 68.23 78.98 78.71 78.59 76.67 What is your conclusion? 77.67 75.29 70.39 79.91 74.55 2007 68.69 65.88 79.40 Find the value of the test statistic. T = 63 ✓ 75.78 73.45 78.68 75.38 71.98 62.84 76.49 Use a = 0.05 to test the hypothesis that there is no difference between the median percent of on-time arrivals for the two years. State the null and alternative hypotheses. 72.42 O Ho: Median percent on-time in 2006 - Median percent on-time in 2007 = 0 H₂: Median percent on-time in 2006 - Median percent on-time in 2007 + 0 O Ho: Median percent on-time in 2006 -…

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