The number of goals scored per match in the first 10 matches, by theEnglish football premier league top goal scorer of the 2022/23 season,were recorded. The data are given in the following table. Assume thatthe number of goals scored by the player in a match follows a Poissondistribution and let 0 denote the mean of the distribution.Number of goals (x) 0 1 2 3 >3Frequency2 4 1 3 0(a) Show that the likelihood for these data is:-100 015432L(0) ==e(b) Using the likelihood function in part (a), calculate the maximumlikelihood estimate (MLE) of 0.

x be the number of goals scored per match in the first 10 matches x~poisson(?) with pmf…

Answered: (a) Show that the likelihood for these…

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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Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 43 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that σ = 7.50 ml/kg for the distribution of blood plasma. (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limit 1 upper limit 2 margin of error 3 (b) What conditions are necessary for your calculations? (Select all that apply.) n is large the distribution of weights is normal σ is known the distribution of weights is uniform σ is unknown (c) Interpret your results in the context of this problem. 1% of the intervals created using…
For the situation described below, state the null and alternative hypotheses to be tested. (Enter != for ≠ as needed.) A new variety of pearl millet is expected to provide an increased yield over the variety presently in use, which has a mean yield of about 55 bushels per acre.
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Victims of Violence A random survey of 85 women who were victims of violence found that 28 were attacked by relatives. A random survey of 46 men found that 5 were attacked by relatives. At α=0.10, can it be shown that the percentage of women who were attacked by relatives is greater than the percentage of men who were attacked by relatives? Use p1 for the proportion of women who were attacked by relatives. Use the critical value method with tables and round all intermediate calculations to at least three decimal places. State the hypotheses and identify the claim with the correct hypothesis. H0: claim/do not claim? H1: claim/do not claim? This hypothesis test is one tailed/two tailed? Compute the test value. Round all intermediate steps to four decimal places and always round z score values to tow decimal places. Z= Compute the P-value. Round the answer to four decimal places. P -value = Make the decision. Reject/do not reject the null hypothesis. Summarize the results. There…
Victims of Violence A random survey of 73 women who were victims of violence found that 21 were attacked by relatives. A random survey of 40 men found that 5 were attacked by relatives. At =α0.05 , can it be shown that the percentage of women who were attacked by relatives is greater than the percentage of men who were attacked by relatives? Use p1 for the proportion of women who were attacked by relatives. Use the critical value method with tables and round all intermediate calculations to at least three decimal places.
A large automobile insurance company selected samples of single and married male policyholders and recorded the number who made an insurance claim over the preceding three-year period. Single Policyholders Married Policyholders 721 = 575 n2 = 740 Number making claims = 115 Number making claims = 111 a. Use α = 0.05. Test to determine whether the claim rates differ between single and married male policyholders. z-value p-value We can conclude (to 2 decimals) X (to 4 decimals) that there is the difference between claim rates. b. Provide a 95% confidence interval (to 4 decimals) for the difference between the proportions for the two populations. Enter negative answer as negative number.
Can i have a worked example please. Thanks!
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(a) Show that the likelihood for these data is: e-100015 432 L(0) - (b) Using the likelihood function in part (a), calculate the maximum likelihood estimate (MLE) of 0.