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 μ = 7650 and estimated standard deviation σ = 2850. A test result of x < 3500 is 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 approximately normal with μx = 7650 and σx = 2015.25.The probability distribution of x is approximately normal with μx = 7650 and σx = 1425.00. The probability distribution of x is not normal.The probability distribution of x is approximately normal with μx = 7650 and σx = 2850.
What is the probability of x < 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 decreased as n increased.The probabilities increased as n increased. The probabilities stayed the same as n increased.
If a person had x < 3500 based on three tests, what
conclusion would you draw as a doctor or a nurse?
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. 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 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.
Let x be a random variable that represents white blood cell count per cubic milliliter of whole b...
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 μ = 6100 and estimated standard deviation σ = 2750. A test result of x < 3500 is 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...
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 u = 6900 and estimated standard deviation o = 2800. A test result of x < 3500 is 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...
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 μ = 8050 and estimated standard deviation σ = 2900. A test result of x < 3500 is 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...
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 μ = 6200 and estimated standard deviation σ = 2300. A test result of x < 3500 is 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...
Suppose an x distribution has mean μ = 4. Consider two corresponding x distributions, the first based on samples of size n = 49 and the second based on samples of size n = 81. (a) What is the value of the mean of each of the two x distributions? For n = 49, μ x = For n = 81, μ x = Suppose the heights of 18-year-old men are approximately normally distributed, with mean 70 inches and standard...
Lat x be a random variable that represents the levd of ( ucose in the blood (misgra ns per deciliter of blood after a 12 hour fast. Assume that for people under 50 years old x has distribution that is approxim ately norm al with mean μ-56 and estimated standard deviation σ-48. A test result x 40 is an indication o severe excess insulin, and medication is usually prescribed. (a) What is the probability that, on a single test, x...
Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normal. For the population of healthy female adults, suppose the mean of the x distribution is about 4.74. Suppose that a female patient has taken six laboratory blood tests over the past several months and that the RBC Count data sent to the patient's doctor are as follows. 4.9...
Let x be a random variable that represents red blood cell count (RBC) in millions of cells per cubic millimeter of whole blood. Then x has a distribution that is approximately normas For the population of healthy female adults, suppose the mean of the x distribution is about 4.76. Suppose that a female patient has taken six laboratory blood tests over the past several months and that the RBC count data sent to the patient's doctor are as follows. 4.9...
1. In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities. It is known that 76% of all new products introduced in grocery stores fail (are taken off the market) within 2 years. If a grocery store chain introduces 63 new products, find the following probabilities. (Round your answers to four decimal places.) (a) within 2 years 47 or more fail (b) within...
Let x = red blood cell (RBC) count in millions per cubic millimeter of whole blood. Suppose for healthy females, x has an approximately normal distribution with mean u=4.8 and standard deviation o=04. Convert the following x interval from a laboratory test to a z interval. 5.2 <x