Applied Statistics in Business and Economics

5th Edition

ISBN: 9780077837303

Author: David Doane, Lori Seward Senior Instructor of Operations Management

Publisher: McGraw-Hill Education

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Chapter 9, Problem 77CE

Malcheon Health Clinic claims that the average waiting time for a patient is 20 minutes or less. A random sample of 15 patients shows a mean wait time of 24.77 minutes with a standard deviation of 7.26 minutes. (a) Write the hypotheses for a right-tailed test, using the clinic’s claim as the null hypothesis. (b) Calculate the t test statistic to test the claim. (c) At the 5 percent level of significance (α = .05), does the sample contradict the clinic’s claim? (d) Use Excel to find the p-value and compare it to the level of significance. Did you come to the same conclusion as you did in part (c)?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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Chapter 9, Problem 76CE

Chapter 9, Problem 78CE

Chapter 9 Solutions

Applied Statistics in Business and Economics

Ch. 9.2 - If you repealed a hypothesis test 1,000 times (in...Ch. 9.2 - Define Type I and Type II errors for each...Ch. 9.2 - A firm decides to test its employees for illegal...Ch. 9.2 - A hotel installs smoke detectors with adjustable...Ch. 9.2 - What is the consequence of a false negative in an...Ch. 9.2 - Prob. 6SE Ch. 9.3 - A manufacturer claims that its compact fluorescent...Ch. 9.3 - Prob. 8SE Ch. 9.3 - Prob. 9SE Ch. 9.3 - The average age of a part-time seasonal employee...

Ch. 9.3 - Prob. 11SE Ch. 9.3 - Prob. 12SE Ch. 9.4 - Find the zcalc test statistic for each hypothesis...Ch. 9.4 - Prob. 14SE Ch. 9.4 - Prob. 15SE Ch. 9.4 - Prob. 16SE Ch. 9.4 - Green Beam Ltd. claims that its compact...Ch. 9.4 - The mean potassium content of a popular sports...Ch. 9.4 - Calculate the test statistic and p-value for each...Ch. 9.4 - Determine the p-value for each test statistic. a....Ch. 9.4 - Procyon Mfg. produces tennis balls. Weights are...Ch. 9.4 - The mean arrival rate of flights at OHare Airport...Ch. 9.4 - Prob. 23SE Ch. 9.4 - The Scottsdale fire department aims to respond to...Ch. 9.4 - The lifespan of xenon metal halide arc-discharge...Ch. 9.4 - Discuss the issues of statistical significance and...Ch. 9.4 - The target activation force of the buttons on a...Ch. 9.5 - Find the tcalc test statistic for each hypothesis...Ch. 9.5 - Find the critical value of Students t for each...Ch. 9.5 - Find the critical value of Students t for each...Ch. 9.5 - Find the tcalc test statistic for each hypothesis...Ch. 9.5 - Estimate the p-value as a range using Appendix D...Ch. 9.5 - Prob. 33SE Ch. 9.5 - Prob. 34SE Ch. 9.5 - Prob. 35SE Ch. 9.5 - The manufacturer of an airport baggage scanning...Ch. 9.5 - Prob. 37SE Ch. 9.5 - The average weight of a package of rolled oats is...Ch. 9.5 - According to J.D. Power & Associates, the mean...Ch. 9.5 - Prob. 40SE Ch. 9.5 - Prob. 41SE Ch. 9.5 - Prob. 42SE Ch. 9.5 - Prob. 43SE Ch. 9.6 - Interpret each p-value in your own words: a....Ch. 9.6 - Prob. 45SE Ch. 9.6 - Prob. 46SE Ch. 9.6 - May normality of the sample proportion p be...Ch. 9.6 - Prob. 48SE Ch. 9.6 - In a hospitals shipment of 3,500 insulin syringes,...Ch. 9.6 - Prob. 50SE Ch. 9.6 - Prob. 51SE Ch. 9.6 - The recent default rate on all student loans is...Ch. 9.6 - Prob. 53SE Ch. 9.6 - Prob. 54SE Ch. 9.6 - BriteScreen, a manufacturer of 19-inch LCD...Ch. 9.6 - Perfect pitch is the ability to identify musical...Ch. 9.7 - A quality expert insects 400 items to test whether...Ch. 9.7 - Prob. 58SE Ch. 9.7 - For a certain wine, the mean pH (a measure of...Ch. 9.7 - Repeat the previous exercise, using = .05. For...Ch. 9.8 - A sample of size n = 15 has variance s2 = .35. At ...Ch. 9.8 - Prob. 62SE Ch. 9.8 - A sample of size n = 19 has variance s2 = .1.96....Ch. 9.8 - Prob. 64SE Ch. 9.8 - Prob. 65SE Ch. 9 - (a) List the steps in testing a hypothesis, (b)...Ch. 9 - (a) Explain the difference between the null...Ch. 9 - (a) Why do we say fail to reject H0 instead of...Ch. 9 - (a) Define Type I error and Type II error. (b)...Ch. 9 - (a) Explain the difference between a left-tailed...Ch. 9 - Prob. 6CR Ch. 9 - Prob. 7CR Ch. 9 - (a) Why do we prefer low values for and ? (b) For...Ch. 9 - Prob. 10CR Ch. 9 - Prob. 11CR Ch. 9 - (a) Explain what a p-value means. Give an example...Ch. 9 - Prob. 13CR Ch. 9 - (a) What does a power curve show? (b) What factors...Ch. 9 - (a) In testing a hypothesis about a variance, what...Ch. 9 - Suppose you always reject the null hypothesis,...Ch. 9 - Suppose the judge decides to acquit all...Ch. 9 - High blood pressure, if untreated, can lead to...Ch. 9 - A nuclear power plant replaces its ID card...Ch. 9 - A test-preparation company advertises that its...Ch. 9 - Prob. 71CE Ch. 9 - Prob. 72CE Ch. 9 - Prob. 73CE Ch. 9 - Pap smears are a test for abnormal cancerous and...Ch. 9 - Prob. 75CE Ch. 9 - Prob. 76CE Ch. 9 - Malcheon Health Clinic claims that the average...Ch. 9 - The sodium content of a popular sports drink is...Ch. 9 - A can of peeled whole tomatoes is supposed to...Ch. 9 - At Ajax Spring Water, a half-liter bottle of soft...Ch. 9 - Prob. 81CE Ch. 9 - Prob. 82CE Ch. 9 - A U.S. dime weighs 2.268 grams when minted. A...Ch. 9 - A coin was flipped 60 times and came up heads 38...Ch. 9 - Prob. 85CE Ch. 9 - Prob. 86CE Ch. 9 - Prob. 87CE Ch. 9 - Prob. 88CE Ch. 9 - Prob. 89CE Ch. 9 - Prob. 90CE Ch. 9 - Prob. 91CE Ch. 9 - Prob. 92CE Ch. 9 - The average service time at a Noodles Company...Ch. 9 - Prob. 94CE Ch. 9 - Prob. 95CE Ch. 9 - Beer shelf life is a problem for brewers and...Ch. 9 - Prob. 97CE Ch. 9 - Prob. 99CE Ch. 9 - Prob. 100CE Ch. 9 - Prob. 101CE Ch. 9 - Prob. 102CE Ch. 9 - An experimental medication is administered to 16...Ch. 9 - The historical on-time percentage for Amtraks...Ch. 9 - After 7 months, none of 238 angioplasty patients...Ch. 9 - A certain brand of flat white interior latex paint...Ch. 9 - Prob. 107CE Ch. 9 - Prob. 108CE Ch. 9 - Prob. 109CE

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Solution Summary: The author states the hypotheses for a right-tailed test.

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Chapter 9 Solutions