Which of the following statements is true with respect to a Poisson distribution?
A) The Poisson distribution is symmetrical when the mean is close to 5.
B) The Poisson distribution is more right-skewed for smaller values of the mean.
C) The variance of the Poisson distribution is equal to the square root of the expected value.
D) The Poisson distribution is an example of a continuous probability distribution.
Q. 2If the hypothesis test you are conducting is a two-tailed test, which of the following is a possible step that you could take to increase the power of the test?
A) Reduce the sample size
B) Increase alpha
C) Increase beta
D) Use the t-distribution
Q. 3The number of weeds that remain living after a specific chemical has been applied averages 1.3 per square yard and follows a Poisson distribution. Based on this, what is the probability that a 3-square yard section will contain less than 4 weeds?
A) 0.4532
B) 0.2001
C) 0.6482
D) 0.1951
Q. 4A recent report in which a major pharmaceutical company released the results of testing that had been done on the cholesterol reduction that people could expect if they use the company's new drug indicated that the Type II error probability for a
given true mean was 0.1250 based on the sample size of n = 64 subjects. Given this, what was the power of the test under these same conditions? The alpha level used in the test was 0.05.A) 0.95
B) 0.875
C) Essentially zero
D) Power would be undefined in this case since the hypothesis would be rejected.
Q. 5The number of weeds that remain living after a specific chemical has been applied averages 1.3 per square yard and follows a Poisson distribution. Based on this, what is the probability that a 1-square yard section will contain less than 4 weeds?
A) 0.0324
B) 0.0998
C) Nearly 0.5000
D) 0.9569