Chi-square critical at D.F = 4 is 9.488
Expected Frequency is found by using the Poisson distribution -λ χ)-__ where λ-[0(24) + 1(30) +...
The following table presents the observed and expected data on the number of plants found in each of 50 sampling quadrants. # of plants 0 1 2 Observed Frequency (0) 5 18 10 12 5 Expected Frequency (E) 6.767 13.534 13.534 9.022 7.144 24 Ho: The distribution is Poisson H : The distribution is not Poisson Part b (5 points): Using a = 0.01, find the test statistic and critical region to make a conclusion about this goodness of fit...
The following table presents the observed and expected data on the number of plants found in each of 50 sampling quadrants. # of plants Observed Frequency (0) Expected Frequency (E) 5 6.767 18 13.534 2 10 13.534 3 12 9.022 24 5 7.144 Ho: The distribution is Poisson Hy: The distribution is not Poisson Part a (5 points): Justify why the assumption of the Poisson distribution seem appropriate as a probability model for this data? Find the value of the...
The following table presents the observed and expected data on the number of plants found in each of 50 sampling quadrants. # of plants 0 Observed Frequency (0) 5 18 10 1 Expected Frequency (E;) 6.767 13.534 13.534 9.022 7.144 2 3 >4 12 5 Ho: The distribution is Poisson H7: The distribution is not Poisson A) Justify why the assumption of the Poisson distribution seem appropriate as a probability model for this data? Find the value of the only...
Please help me with this one The following table presents the observed and expected data on the number of plants found in each of 50 sampling quadrants. # of plants Observed Frequency (0) Expected Frequency (E) 5 6.767 18 13.534 2 10 13.534 3 12 9.022 24 5 7.144 Ho: The distribution is Poisson Hy: The distribution is not Poisson Part a (5 points): Justify why the assumption of the Poisson distribution seem appropriate as a probability model for this...
Compute the expected value of the Poisson distribution with parameter λ X ∼ Poisson(λ). Show E[X(X − 1)(X − 2)· · ·(X − k)] = λ ^(k+1) Use this result, and that in question above, to calculate the variance of X
The following table presents the observed and expected data on the number of plants found in each of 50 sampling quadrants. # of plants Observed Frequency (Oi) Expected Frequency (Ei) 0 5 6.676 1 18 13.534 2 10 13.534 3 12 9.022 4 5 7.144 H0 : The distribution is Poisson H1 : The distribution is not Poisson a.) Justify why the assumption of the Poisson distribution seem appropriate as a probability model for this data? Find the value of...
Excel was asked to generate 50 Poisson random numbers with mean λ = 5. x Frequency 0 1 1 1 2 4 3 7 4 7 5 8 6 10 7 3 8 3 9 4 10 1 11 1 (a) Calculate the sample mean. (Round your sample mean value to 2 decimal places.) Sample mean (b) Carry out the chi-square test at α = .05, combining end categories as needed to ensure that all expected frequencies are at least...
show work The following table presents the observed and expected data on the number of plants found in each of 50 sampling quadrants. # of plants Observed Frequency (0) Expected Frequency (E) 0 5 6.767 18 13.534 2 10 13.534 3 12 9.022 5 7.144 24 Ho: The distribution is Poisson H: The distribution is not Poisson Part a (5 points): Justify why the assumption of the Poisson distribution seem appropriate as a probability model for this data? Find the...
In a book the characters are trying to determine whether the Poisson probabilistic model can be used to describe the locations that rockets landed in a city. They divided the city into 0.25-kmregions. They then counted the number of rockets that landed in each region, with the results shown in the table below. Complete parts (a) through (e). Number of rocket hits 0 1 2 3 4 5 6 7 Observed number of regions 221 215 100 32 8 0...
Recall that a discrete random variable X has Poisson distribution with parameter λ if the probability mass function of X Recall that a discrete random variable X has Poisson distribution with parameter λ if the probability mass function of X is r E 0,1,2,...) This distribution is often used to model the number of events which will occur in a given time span, given that λ such events occur on average a) Prove by direct computation that the mean of...