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Use the appropriate alphabet (a, b, d, etc) to indicate your answer for each que

ID: 3226058 • Letter: U

Question

Use the appropriate alphabet (a, b, d, etc) to indicate your answer for each question To determine the distribution mode of a certain species of crickets, 200 quadrats were randomly established in a field known to be their habitat. The number of crickets found in each quadrat is recorded in the frequency distribution below? a. From the data calculated for problem 1, were the crickets randomly distributed over the 200 quadrats. You must show proof to obtain credit. b. What is the probability of walking into that field and seeing a cricket?

Explanation / Answer

a)

H0: Crickets were randomly distributed.

Ha: Crickets were not randomly distributed.

Consider the following table:

²= (O-E)²/E = 71.520.

df=k-1=4-1=3

P-value = Chidist(71.520,3)=0.000

P-value is very small, reject null hypothesis. We can conclude that crickets are not randomly distributed.

b) Out of 200 quads, 52+28+22=102 quads have at least 1 cricket. Therefore,

probability=102/200=0.51

No. of Crickets O E=N/4 (O-E)²/E 0 98 50.00 46.0800 1 52 50.00 0.0800 2 28 50.00 9.6800 3 22 50.00 15.6800 SUM 200 200 71.520