True or False: 1.Suppose we are studying the tonnage of hay produced on all the

Question

True or False:

1.Suppose we are studying the tonnage of hay produced on all the 1-acre hayfields in the Great Basin. Is it true or false that the mean tonnage for all those hayfields will be smaller than the mean of the sampling distribution of tonnage for samples with N=40 hayfields.

2.Suppose we are studying "color time", how long aspen leaves remain on the tree after they begin to turn yellow. Is it true or false that the standard deviation of color time for all aspen leaves is larger than the standard deviation of color time in the sampling distribution for samples of size 502 from this population?

3.If the number of eggs in quail nests has a Poisson distribution in the population, the sampling distribution of the mean number of eggs in quail nests of in sample of N=44 from this population will have a normal distribution.

Explanation / Answer

1) The mean of the sampling distribution of tonnage for a sample size of 40, should be a true representative of the average tonnage across all fields in the population. Hence, it should be very close to the population mean, if not exactly same. Hence, the given statement is not True. (Ans).

2) Since the sample size is large enough, the sample and population standard deviations should be same. So the given statement is not True. (Ans).

3) Since, the sample size is greater than 30, we can use Normal approximation. Hence, the given statement is True. (Ans).

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