Let x be a random variable that represents white blood cell count per cubic milliliter of whole blood Assume that x has a distribution that is approximately normal, with mean 6300and estimated standard deviation 1650 A test result of x 3500is an indication of leukopenia This indicates bone marrow depression that may be the result of a viral infection (a) What is the probability that, on a single test, x is less than 3500 (Round your answer to four decimal places ) (b) Suppose a doctor uses the average x for two tests taken about a week apart What can we say about the probability distribution of x The probability distribution of x is not normal The probability distribution of x is approximately normal with x 6300 and x 1650 The probability distribution of x is approximately normal with x 6300 and x 1166 73 The probability distribution of x is approximately normal with x 6300 and x 825 00 What is the probability of xbar 3500 (Round your answer to four decimal places ) (c) Repeat part (b) for n 3 tests taken a week apart (Round your answer to four decimal places ) (d) Compare your answers to parts (a), (b), and (c) How did the probabilities change as n increased The probabilities increased as n increased The probabilities stayed the same as n increased The probabilities decreased as n increased If a person had xbar 3500 based on three tests, what conclusion would you draw as a doctor or a nurse It would be a common event for a person to have two or three tests below 3,500 purely by chance The person probably does not have leukopenia It would be a common event for a person to have two or three tests below 3,500 purely by chance The person probably has leukopenia It would be an extremely rare event for a person to have two or three tests below 3,500 purely by chance The person probably has leukopenia It would be an extremely rare event for a person to have two or three tests below 3,500 purely by chance The person probably does not have leukopenia

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Let x be a random variable that represents white blood cell count per cubic milliliter of whole blood. Assume that x has a distribution that

Letxbe a random variable that represents white blood cell count per cubic milliliter of whole blood. Assume thatxhas a distribution that is approximately normal, with mean=6300and estimated standard deviation=1650.A test result ofx<3500is an indication of leukopenia. This indicates bone marrow depression that may be the result of a viral infection.

(a) What is the probability that, on a single test,xis less than 3500? (Round your answer to four decimal places.)

(b) Suppose a doctor uses the averagexfor two tests taken about a week apart. What can we say about the probability distribution ofx?

The probability distribution ofxis not normal.

The probability distribution ofxis approximately normal with_x= 6300 and_x= 1650.

The probability distribution ofxis approximately normal with_x= 6300 and_x= 1166.73.

The probability distribution ofxis approximately normal with_x= 6300 and_x= 825.00.

What is the probability ofxbar<3500? (Round your answer to four decimal places.)

(d) Compare your answers to parts (a), (b), and (c). How did the probabilities change asnincreased?

The probabilities increased asnincreased.

The probabilities stayed the same asnincreased.

The probabilities decreased asnincreased.

If a person hadxbar<3500 based on three tests, what conclusion would you draw as a doctor or a nurse?

It would be a common event for a person to have two or three tests below 3,500 purely by chance. The person probably does not have leukopenia.

It would be a common event for a person to have two or three tests below 3,500 purely by chance. The person probably has leukopenia.

It would be an extremely rare event for a person to have two or three tests below 3,500 purely by chance. The person probably has leukopenia.

It would be an extremely rare event for a person to have two or three tests below 3,500 purely by chance. The person probably does not have leukopenia.