Statistics for Business and Economics (13th Edition)
13th Edition
ISBN: 9780134506593
Author: James T. McClave, P. George Benson, Terry Sincich
Publisher: PEARSON
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Chapter 5, Problem 5.73ACI
Errors in filling prescriptions A large number of preventable errors (e.g., overdoses, botched operations, misdiagnoses) are being made by doctors and nurses in U.S. hospitals. A study of a major metropolitan hospital revealed that of every 100 medications prescribed or dispensed, 1 was in error, but only 1 in 500 resulted in an error that caused significant problems for the patient. It is known that the hospital prescribes and dispenses 60,000 medications per year.
- a. What is the expected proportion of errors per year at this hospital? The expected proportion of significant errors per year?
- b. Within what limits would you expect the proportion significant errors per year to fall?
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Chapter 5 Solutions
Statistics for Business and Economics (13th Edition)
Ch. 5.1 - The probability distribution shown here describes...Ch. 5.1 - Consider the population described by the...Ch. 5.1 - Refer to Exercise 5.3 and find E (x) = Then use...Ch. 5.1 - Refer to Exercise 5.3. Assume that a random sample...Ch. 5.1 - In Example 5.3 we used a computer to generate 1...Ch. 5.2 - Consider the following probability distribution: x...Ch. 5.2 - Consider the following probability distribution: x...Ch. 5.2 - Consider the following probability distribution: x...Ch. 5.2 - Refer to Exercise 5.31. a. Show that x is an...Ch. 5.2 - Refer to Exercise 5.3. a. Find the sampling...
Ch. 5.2 - Refer to Exercise 5.5, in which we found the...Ch. 5.3 - Will the sampling distribution of x always be...Ch. 5.3 - Suppose a random sample of n = 25 measurements is...Ch. 5.3 - Suppose a random sample of n measurements is...Ch. 5.3 - A random sample of n = 64 observations is drawn...Ch. 5.3 - Refer to Exercise 5.18. Find the probability that...Ch. 5.3 - A random sample of n = 900 observations is...Ch. 5.3 - A random sample of n = 100 observations is...Ch. 5.3 - Open the applet Sampling Distributions. On the...Ch. 5.3 - Open the applet Sampling Distributions. On the...Ch. 5.3 - Voltage sags and swells. Refer to the Electrical...Ch. 5.3 - Salary of a travel management professional....Ch. 5.3 - Corporate sustainability of CPA firms. Refer to...Ch. 5.3 - Critical-part failures in NASCAR vehicles. Refer...Ch. 5.3 - Tomato as a taste modifier. Miraculin is a protein...Ch. 5.3 - Prob. 5.28ACICh. 5.3 - Levelness of concrete slabs. Geotechnical...Ch. 5.3 - Video game players and divided attention tasks....Ch. 5.3 - Exposure to a chemical in Teflon-coated cookware....Ch. 5.3 - Rental car fleet evaluation. National Car Rental...Ch. 5.3 - Prob. 5.34ACACh. 5.3 - Handwashing vs. handrubbing. The British Medical...Ch. 5.4 - Suppose a random sample of n measurements is...Ch. 5.4 - Suppose a random sample of n = 500 measurements is...Ch. 5.4 - A random sample of n = 80 measurements is drawn...Ch. 5.4 - A random sample of n = 250 measurements is drawn...Ch. 5.4 - A random sample of n = 1, 500 measurements is...Ch. 5.4 - Consider a population with values of x equal to 0...Ch. 5.4 - Dentists use of laughing gas. According to the...Ch. 5.4 - Cable TV subscriptions and cord cutters ....Ch. 5.4 - Do social robots walk or roll? Refer to the...Ch. 5.4 - Working on summer vacation. According to a Harris...Ch. 5.4 - Hospital work-related injuries. According to an...Ch. 5.4 - Hotel guest satisfaction. Refer to the results of...Ch. 5.4 - Stock market participation and IQ. Refer to The...Ch. 5.4 - Fingerprint expertise. Refer to the Psychological...Ch. 5.4 - Who prepares your tax return? As part of a study...Ch. 5.4 - Apps not working on smartphone. In a survey titled...Ch. 5 - The standard deviation (or, as it is usually...Ch. 5 - Consider a sample statistic A. As with all sample...Ch. 5 - A random sample of 40 observations is to be drawn...Ch. 5 - A random sample of n = 68 observations is selected...Ch. 5 - A random sample of n = 500 observations is...Ch. 5 - A random sample of n = 300 observations is...Ch. 5 - Use a statistical software package to generate 100...Ch. 5 - Use a statistical software package to generate 100...Ch. 5 - Suppose x equals the number of heads observed when...Ch. 5 - A random sample of size n is to be drawn from a...Ch. 5 - Requests to a Web server. In Exercise 4.175 (p....Ch. 5 - Improving SAT scores. Refer to the Chance (Winter...Ch. 5 - Study of why EMS workers leave the job. A study of...Ch. 5 - Downloading apps to your cell phone. Refer to...Ch. 5 - Surface roughness of pipe. Refer to the...Ch. 5 - Analysis of supplier lead time. Lead time is the...Ch. 5 - Producing machine bearings. To determine whether a...Ch. 5 - Quality control. Refer to Exercise 5.68. The mean...Ch. 5 - Length of job tenure. Researchers at the Terry...Ch. 5 - Switching banks after a merger. Banks that merge...Ch. 5 - Piercing rating of fencing safety jackets. A...Ch. 5 - Errors in filling prescriptions A large number of...Ch. 5 - Purchasing decision. A building contractor has...Ch. 5 - Motivation of drug dealers. Refer to the Applied...Ch. 5 - Soft-drink bottles. A soft-drink bottler purchases...
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- Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There are three main types of cholesterol: HDL (high-density lipoproteins), LDL (low-density lipoproteins), and VLDL (very low-density lipoproteins). HDL is considered “good” cholesterol; LDL and VLDL are considered “bad” cholesterol. A standard fasting cholesterol blood test measures total cholesterol, HDL cholesterol, and triglycerides. These numbers are used to estimate LDL and VLDL, which are difficult to measure directly. Your doctor recommends that your combined LDL/VLDL cholesterol level be less than 130 milligrams per deciliter, your HDL cholesterol level be at least 60 milligrams per deciliter, and your total cholesterol level be no more than 200 milligrams per deciliter. (a) Write a system of linear inequalities for the recommended cholesterol levels. Let x represent the HDL cholesterol level, and let y represent the combined LDL VLDL cholesterol level. (b) Graph the system of inequalities from part (a). Label any vertices of the solution region. (c) Is the following set of cholesterol levels within the recommendations? Explain. LDL/VLDL: 120 milligrams per deciliter HDL: 90 milligrams per deciliter Total: 210 milligrams per deciliter (d) Give an example of cholesterol levels in which the LDL/VLDL cholesterol level is too high but the HDL cholesterol level is acceptable. (e) Another recommendation is that the ratio of total cholesterol to HDL cholesterol be less than 4 (that is, less than 4 to 1). Identify a point in the solution region from part (b) that meets this recommendation, and explain why it meets the recommendation.arrow_forwardUrban Travel Times Population of cities and driving times are related, as shown in the accompanying table, which shows the 1960 population N, in thousands, for several cities, together with the average time T, in minutes, sent by residents driving to work. City Population N Driving time T Los Angeles 6489 16.8 Pittsburgh 1804 12.6 Washington 1808 14.3 Hutchinson 38 6.1 Nashville 347 10.8 Tallahassee 48 7.3 An analysis of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population. a Construct a power model of driving time in minutes as a function of population measured in thousands b Is average driving time in Pittsburgh more or less than would be expected from its population? c If you wish to move to a smaller city to reduce your average driving time to work by 25, how much smaller should the city be?arrow_forwardWhat is an experiment? Give two examples.arrow_forward
- Population Genetics In the study of population genetics, an important measure of inbreeding is the proportion of homozygous genotypesthat is, instances in which the two alleles carried at a particular site on an individuals chromosomes are both the same. For population in which blood-related individual mate, them is a higher than expected frequency of homozygous individuals. Examples of such populations include endangered or rare species, selectively bred breeds, and isolated populations. in general. the frequency of homozygous children from mating of blood-related parents is greater than that for children from unrelated parents Measured over a large number of generations, the proportion of heterozygous genotypesthat is, nonhomozygous genotypeschanges by a constant factor 1 from generation to generation. The factor 1 is a number between 0 and 1. If 1=0.75, for example then the proportion of heterozygous individuals in the population decreases by 25 in each generation In this case, after 10 generations, the proportion of heterozygous individuals in the population decreases by 94.37, since 0.7510=0.0563, or 5.63. In other words, 94.37 of the population is homozygous. For specific types of matings, the proportion of heterozygous genotypes can be related to that of previous generations and is found from an equation. For mating between siblings 1 can be determined as the largest value of for which 2=12+14. This equation comes from carefully accounting for the genotypes for the present generation the 2 term in terms of those previous two generations represented by for the parents generation and by the constant term of the grandparents generation. a Find both solutions to the quadratic equation above and identify which is 1 use a horizontal span of 1 to 1 in this exercise and the following exercise. b After 5 generations, what proportion of the population will be homozygous? c After 20 generations, what proportion of the population will be homozygous?arrow_forwardWhat is an experiment?arrow_forward
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