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Determine if the data come from a poisson distribution

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Reference no: EM131115738

1. An experiment is run that is claimed to have a binomial distribution with p = 0.15 and n = 18 and the number of successes is recorded. The experiment is conducted 200 times with the following results:

Number of Successes

0

1

2

3

4

5

Observed Frequency

80

75

39

6

0

0

Using a significance level of 0.01, is there sufficient evidence to conclude that the distribution is binomially distributed with p = 0.15 and n = 18?

2. Data collected from a hospital emergency room reflect the number of patients per day that visited the emergency room due to cardiac-related symptoms. It is believed that the distribution of the number of cardiac patients entering the emergency room per day over a two-month period has a Poisson distribution with a mean of 8 patients

per day.

6

7

9

7

5

6

7

7

5

10

9

9

7

2

8

5

7

10

6

7

12

12

10

8

8

14

7

9

10

7

4

9

6

4

11

9

10

7

5

10

8

8

10

7

9

2

10

12

10

9

8

11

7

9

11

7

16

7

9

10

Use a chi-square goodness-of-fit test to determine if the data come from a Poisson distribution with mean of 8. Test using a significance level of 0.01.

Reference no: EM131115738

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