Suppose that for a population of a particular bird species in an area, the average wingspan (length between the two wing tips when spread out) is 283 centimeters with a standard deviation of 9 centimeters. Also suppose that the wingspans are Normally distributed for this population. Using information above and either the Normal distribution calculator or Inverse Normal distribution calculator please answer the following: d. Is it more unusual to randomly select a single bird with a wingspan of 280 centimeters or less OR a sample of 30 birds with an average wingspan of 280 centimeters or less? Briefly explain how you know. e. There is only a 4% chance that the 30-bird sample’s average wingspan is greater than what value?

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Suppose that for a population of a particular bird species in an area, the average wingspan (length between the two wing tips when spread out) is 283 centimeters with a standard deviation of 9 centimeters. Also suppose that the wingspans are Normally distributed for this population.

Using information above and either the Normal distribution calculator or Inverse Normal distribution calculator please answer the following:

d. Is it more unusual to randomly select a single bird with a wingspan of 280 centimeters or less OR a sample of 30 birds with an average wingspan of 280 centimeters or less? Briefly explain how you know.

e. There is only a 4% chance that the 30-bird sample’s average wingspan is greater than what value? Include units in your answer.
(To show your work: Write down which calculator you are using and what values you are entering into the calculator.)

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