It is thought that the number of goals scored in a sports match can be modelled...
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It is thought that the number of goals scored in a sports match can be modelled by a Poisson distribution. To test this theory the number of goals in 50 games was collected and the data is shown in the table below. Goals 0 1 2 3 4 4 5 26 Frequency 7 10 11 10 6 4 2 It is known that the average number of goals per game over a season is 2.4. a Taking the mean as 2.4 and assuming a Poisson distribution, calculate the missing entries in the table below. Goals 0 1 2 3 4 5 ≥6 Probability Expected frequency b Use a hypothesis test at the 10% signi- ficance level to test whether the number of goals scored in a game follows a Poisson distribution with a mean of 2.4. It is thought that the number of goals scored in a sports match can be modelled by a Poisson distribution. To test this theory the number of goals in 50 games was collected and the data is shown in the table below. Goals 0 1 2 3 4 4 5 26 Frequency 7 10 11 10 6 4 2 It is known that the average number of goals per game over a season is 2.4. a Taking the mean as 2.4 and assuming a Poisson distribution, calculate the missing entries in the table below. Goals 0 1 2 3 4 5 ≥6 Probability Expected frequency b Use a hypothesis test at the 10% signi- ficance level to test whether the number of goals scored in a game follows a Poisson distribution with a mean of 2.4.
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a The expected frequency is calculated by taking the probability of each goal s... View the full answer
Related Book For
Advanced Accounting
ISBN: 978-1934319307
2nd edition
Authors: Susan S. Hamlen, Ronald J. Huefner, James A. Largay III
Posted Date:
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