The number of deaths caused by accidents on a stretch of motorway havebeen measured for the 30 years since its construction. The results areshown in the table below.Deaths013-Years151041If X is the random variable representing the number of deaths, show thatit has a Poisson distribution and determine its mean value and standarddeviation.

As Prof. P. K. Giri said "A chi-square test, or specifically Pearson's chi-square test is performed…

Answered: The number of deaths caused by…

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 weights of 40 watermelons coming out of a farm are normally distributed with a mean of 6 Kg and a standard deviation of 1.945 Kg. Find the standard normal distribution mean and standard deviation for these watermelons? Mean = Standard Deviation = %3D
A math teacher claims that she has developed a review course that increases the scores of students on the math portion of a college entrance exam. Based on data from the administrator of the exam, scores are normally distributed with u = 520. The teacher obtains a random sample of 2200 students, puts them through the review class, and finds that the mean math score of the 2200 students is 525 with a standard deviation of 110. Complete parts (a) through (d) below. (a) State the null and alternative hypotheses. Let u be the mean score. Choose the correct answer below. O A. Ho: H= 520, H,: µ> 520 %3D B. Ho: μ 520 С. Но: и> 520, Hа: p#520 D. Ho: и%3D520, Hа: p#520 (b) Test the hypothesis at the a = 0.10 level of significance. Is a mean math score of 525 statistically significantly higher than 520? Conduct a hypothesis test using the P-value approach. Find the test statistic. to = %3D
Times for a surgical procedure are normally distributed. There are two methods. Method A has a mean of 35 minutes and a standard deviation of 3 minutes, while method B has a mean of 39 minutes and a standard deviation of 1.5 minutes. Which procedure is preferred if the procedure must be completed within 34 minutes? Which procedure is preferred if the procedure must be completed within 40.0 minutes? Which procedure is preferred if the procedure must be completed within 43 minutes?
High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam. Students who score in the top 13 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly recognized? (Round your answer to 2 decimal places.)
(a) Approximate the mean and standard deviation. Round each to two decimals. (b) Complete the last two columns in the table above for relative frequency and cumulative frequency. Round any decimals to 3 places. Do not include the zero before the decimal. For example for 0.56, enter .56 (c) What is the shape of the distribution?
IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. The middle 30% fall between what two values? (round to 2 decimal places)
The time spent (in days) waiting for a heart transplant in two states for patients with type A+ blood can be approximated by a normal distribution, as shown in the graph to the right. Complete parts (a) and (b) below. u= 134 0=18.1 What is the shortest time spent waiting for a heart that would still place a patient in the top 30% of waiting times?
he average amount of time boys and girls spend playing sports each week is believed to be the same. A sample of equal size n is taken from boys and girls , the mean of the boys is 29 hours with standard deviation 4 hours and the mean of the girls is 27 hours with standard deviation 3 hours Both populations have a normal distribution. The calculated value is 1.2 n =
Exam scores in a large class are normally distributed with a mean of 55 and standard deviation of 10. The teacher decides to boost the scores by adding 20 points to everyone’s score. Elizabeth’s original score on the exam was 75, so her new score is 95. The z-score corresponding to her new score (relative to the other new scores) will be:

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