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Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 41 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that σ = 7.70 ml/kg for the distribution of blood plasma.
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- A water company wants to analyze the the level of a particular contaminant in a water supply. The contaminant level is to be checked at several locations. Assume that the observed contaminant level is normally distributed and that each observation is independent of the others. A scientist measures the contaminant level at 10 different locations in the water supply and finds the mean level of the substance is T = 120 parts per billion (ppb) with standard deviation s = 25 ppb. Estimate the true mean contaminant level in the water supply with a 99% upper confidence bound. Answer requires 2 decimal places accuracy.arrow_forwardSheila's doctor is worried that she might develop gestational diabetes during her pregnancy. There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if their glucose level is above 140 mg/dl one hour after consuming a sugary drink. Sheila's measured glucose level one hour after the sugary drink varies according to the Normal distribution, with p = 125 mg/dl ando = 10 mg/dl. Fill in the following blanks with the correct options: (a) If a single glucose measurement is made, the probability that Sheila is diagnosed as having gestational diabetes is (0.0668, 0.1587, 0.2525, or 0.3173?). (b) Assuming that the population mean is 125 mg/dl, imagine that we repeat taking all possible samples of size 4 from the population, then only about 1.3 out of (10, 100, or 1,000?) sample means will have values as large as (125 or 140?) cm or even larger.arrow_forwardThe systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean u = 125 and standard deviation o = 12. (a) Calculate the z-scores for the male systolic blood pressures 110 and 140 millimeters. (Round your answers to two decimal places.) 110 mm z = 140 mm z = (b) If a male friend of yours said he thought his systolic blood pressure was 2.5 standard deviations below the mean, but that he believed his blood pressure was between 110 and 140 millimeters, what would you say to him? (Enter your numerical answer to the nearest whole number.) He is ---Select--- because 2.5 standard deviations below the mean would give him a blood pressure reading of millimeters, which is ---Select--- the range of 110 to 140 millimeters.arrow_forward
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- Overproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia, or lymphoma.t Over a period of months, an adult male patient has taken nine blood tests for uric acid. The mean concentration was x = 5.41 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with o = 1.75 mg/dl. (a) Find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. What is the margin of error? (Round your answers to two decimal places.) lower limit upper limit margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) normal distribution of uric acid On is large O o is unknown O uniform distribution of uric acid O o is known (c) Interpret your results in the context of this problem. The probability that this interval contains the true average uric acid level for this patient is 0.95. The probability that this…arrow_forwardData consistent with summary quantities in the article "Effects of Fast-Food Consumption on Energy Intake and Diet Quality Among Children" on total calorie consumption on a particular day are given for a sample of children who did not eat fast food on that day and for a sample of children who did eat fast food on that day. Assume that it is reasonable to regard these samples as representative of the population of children in the United States. No Fast Food 2342 1929 1020 1741 1480 2064 2154 1992 1863 1788 1776 1838 1659 1517 2680 Fast Food 2522 1757 933 2327 2433 2266 2525 1194 889 1510 874 2206 1810 1249 2116 (a) Use the given information to estimate the mean calorie intake for children in the United States on a day when no fast food is consumed. (Give the answer to one decimal place.) 1856.2 (b) Use the given information to estimate the mean calorie intake for children in the United States on a day when fast food is consumed. (Give the answer to one decimal place.) 1774.1 (c) Use the…arrow_forwardOverproduction of uric acid in the body can be an indication of cell breakdown. This may be an advance indication of illness such as gout, leukemia, or lymphoma.f Over a period of months, an adult male patient has taken seven blood tests for uric acid. The concentration was x = 5.35 mg/dl. The distribution of uric acid in healthy adult males can be assumed to be normal, with o = 1.77 mg/dl. (a) Find a 95% confidence interval for the population mean concentration of uric acid in this patient's blood. What is the margin of error? (Round your answers to two decimal places.) lower limit upper limit margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) O o is unknown O normal distribution of uric acid O n is large Oo is known O uniform distribution of uric acid (c) Interpret your results in the context of this problem. O The probability that this interval contains the true average uric acid level for this patient is 0.05. O The probability that…arrow_forward
- Listed below are pulse rates (beats per minute) from samples of adult males and females. Does there appear to be adifference? Find the coefficient of variation for each of the two samples; then compare the variation. A. The coefficient of variation for the male pulse rates iS (Type an integer or decimal rounded to one decimal place as needed.) B. The coefficient of variation for the female pulse rates is (Type an integer or decimal rounded to one decimal place as needed.)arrow_forwardA researcher collected data from a sample of correctional officers and found that, on average, they made 47,173 dollars a year with S=6,364. Assuming that their salaries were normally distributed what proportion of correctional officers make less than 40,000 dollars a year?arrow_forwardThe systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean u = 125 and standard deviation o = 18. (a) Calculate the z-scores for the male systolic blood pressures 120 and 130 millimeters. (Round your answers to two decimal places.) 120 mm z = 130 mm Z = (b) If a male friend of yours said he thought his systolic blood pressure was 2.5 standard deviations below the mean, but that he believed his blood pressure was between 120 and 130 millimeters, what would you say to him? (Enter your numerical answer to the nearest whole number.) He is ---Select- v because 2.5 standard deviations below the mean would give him a blood pressure reading of ---Select--- v the range of 120 to 130 millimeters. millimeters, which isarrow_forward
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