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ISBN: 9780077836351

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Publisher: McGraw Hill

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Chapter 11.3, Problem 9E

Crossover trial: A crossover trial is a type of experiment used to compare two drugs. Subjects take one drug for a period of time, then switch to the other. The responses of the subjects are then compared using matched-pair methods. In an experiment to compare two pain relievers, seven subjects took one pain reliever for two weeks, then switched to the other. They rated their pain level from 1 to 10, with larger numbers representing higher levels of pain. The results were:

Chapter 11.3, Problem 9E, Crossover trial: A crossover trial is a type of experiment used to compare two drugs. Subjects take

Can you conclude that the mean pain level is less with drug B?

State the null and alternate hypotheses.
Compute the test statistic.
State a conclusion. Use the α = 0.05 level of significance.

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 11.3, Problem 8E

Chapter 11.3, Problem 10E

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Chapter 11 Solutions

Elementary Statistics (Text Only)

Ch. 11.1 - In Exercises 3 and 4, fill in each blank with the...Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Prob. 6E Ch. 11.1 - A test was made of H0:1=2 versus H1:12. The sample...Ch. 11.1 - A test was made of H0:1=2 versus H1:12. The sample...Ch. 11.1 - More time on the Internet: The General Social...Ch. 11.1 - Low-fat or low-carb? Are low-fat diets or low-carb...Ch. 11.1 - Are you smarter than your older brother? In a...Ch. 11.1 - Recovering from surgery: A new postsurgical...

Ch. 11.1 - Contaminated water: The concentration of benzene...Ch. 11.1 - Exercise: Medical researchers conducted a study to...Ch. 11.1 - Mummys curse: King Tut was an ancient Egyptian...Ch. 11.1 - Baby weights: Following are weights in pounds for...Ch. 11.1 - Empathy: The Interpersonal Reactivity Index is a...Ch. 11.1 - Prob. 18E Ch. 11.1 - Prob. 19E Ch. 11.1 - Prob. 20E Ch. 11.1 - Interpret calculator display: The following TI-84...Ch. 11.1 - Prob. 22E Ch. 11.1 - Prob. 23E Ch. 11.1 - Prob. 24E Ch. 11.1 - Prob. 25E Ch. 11.2 - In Exercises 3 and 4, fill in each blank with the...Ch. 11.2 - Prob. 4E Ch. 11.2 - Prob. 5E Ch. 11.2 - Prob. 6E Ch. 11.2 - In a test for the difference between two...Ch. 11.2 - In a test for the difference between two...Ch. 11.2 - Childhood obesity: The National Health and...Ch. 11.2 - Pollution and altitude: In a random sample of 340...Ch. 11.2 - Preventing heart attacks: Medical researchers...Ch. 11.2 - Cholesterol: An article in the Archives of...Ch. 11.2 - Treating circulatory disease: Angioplasty is a...Ch. 11.2 - Hurricane damage: In August and September 2005,...Ch. 11.2 - Prob. 15E Ch. 11.2 - Prob. 16E Ch. 11.2 - Prob. 17E Ch. 11.2 - Interpret calculator display: The following TI-84...Ch. 11.2 - Prob. 19E Ch. 11.2 - Prob. 20E Ch. 11.2 - Prob. 21E Ch. 11.3 - In Exercises 3 and 4, fill in each blank with the...Ch. 11.3 - In Exercises 3 and 4, fill in each blank with the...Ch. 11.3 - Prob. 5E Ch. 11.3 - Prob. 6E Ch. 11.3 - Prob. 7E Ch. 11.3 - Prob. 8E Ch. 11.3 - Crossover trial: A crossover trial is a type of...Ch. 11.3 - Comparing scales: In an experiment to determine...Ch. 11.3 - Strength of concrete: The compressive strength. in...Ch. 11.3 - Truck pollution: In an experiment to determine the...Ch. 11.3 - Growth spurt: It is generally known that boys grow...Ch. 11.3 - Prob. 14E Ch. 11.3 - Prob. 15E Ch. 11.3 - Interpret calculator display: The following TI-84...Ch. 11.3 - Interpret computer output: The following MINITAB...Ch. 11.3 - Prob. 18E Ch. 11.3 - Prob. 19E Ch. 11.4 - In Exercises 5 and 6, fill in each blank with the...Ch. 11.4 - Prob. 6E Ch. 11.4 - Prob. 7E Ch. 11.4 - Prob. 8E Ch. 11.4 - Find the critical value f0.05 for F7,20.Ch. 11.4 - Prob. 10E Ch. 11.4 - An F-test with 12 degrees of freedom in the...Ch. 11.4 - Prob. 12E Ch. 11.4 - Sugar content: A broth used to manufacture a...Ch. 11.4 - Hockey sticks: The breaking strength of hockey...Ch. 11.4 - Prob. 15E Ch. 11.4 - Are you smarter than your older brother? In a...Ch. 11.4 - Prob. 17E Ch. 11.5 - In Exercises 3 and 4, fill in each blank with the...Ch. 11.5 - Prob. 4E Ch. 11.5 - Prob. 5E Ch. 11.5 - Prob. 6E Ch. 11.5 - Prob. 7E Ch. 11.5 - Prob. 8E Ch. 11.5 - Prob. 9E Ch. 11.5 - Prob. 10E Ch. 11.5 - Prob. 11E Ch. 11.5 - Prob. 12E Ch. 11.5 - Prob. 13E Ch. 11 - Prob. 1CQ Ch. 11 - Prob. 2CQ Ch. 11 - Prob. 3CQ Ch. 11 - Prob. 4CQ Ch. 11 - Prob. 5CQ Ch. 11 - Prob. 6CQ Ch. 11 - Prob. 7CQ Ch. 11 - Prob. 8CQ Ch. 11 - Prob. 9CQ Ch. 11 - Prob. 10CQ Ch. 11 - Prob. 11CQ Ch. 11 - Prob. 12CQ Ch. 11 - Prob. 13CQ Ch. 11 - Refer to Exercise 12. Can you reject H0 at the...Ch. 11 - Prob. 15CQ Ch. 11 - Prob. 1RE Ch. 11 - Prob. 2RE Ch. 11 - Prob. 3RE Ch. 11 - Prob. 4RE Ch. 11 - Prob. 5RE Ch. 11 - Prob. 6RE Ch. 11 - Prob. 7RE Ch. 11 - Prob. 8RE Ch. 11 - Prob. 9RE Ch. 11 - Prob. 10RE Ch. 11 - Prob. 11RE Ch. 11 - Prob. 12RE Ch. 11 - Prob. 13RE Ch. 11 - Prob. 14RE Ch. 11 - Prob. 15RE Ch. 11 - Prob. 1WAI Ch. 11 - Prob. 2WAI Ch. 11 - Describe the differences between performing a...Ch. 11 - Prob. 4WAI Ch. 11 - Prob. 5WAI Ch. 11 - Prob. 1CS Ch. 11 - Prob. 2CS Ch. 11 - Prob. 3CS Ch. 11 - Prob. 4CS

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Solution Summary: The author explains the null and alternative hypotheses. The t test statistics is -1.37.

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Chapter 11 Solutions