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ISBN: 9781260722031

Author: Navidi

Publisher: McGraw-Hill Publishing Co.

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Chapter 10.1, Problem 24E

Low-fat or low-carb? Are low-fat diets or low-carb diets more effective for weight loss? A sample of 77 subjects on a low-carbohydrate diet for six months. At the end of that time, the sample mean weight loss was 4.7 kilograms with a sample standard deviation of 7.2 kilograms. A second sample of 79 subjects went on a low-fat diet. Their sample mean weight loss was 2.6 kilograms with a standard deviation of 5.9 kilograms.

Construct a 98% confidence interval for the difference in mean weight loss between the low-fat and low-carb diets.
A dietitian claims that both diets are equally effective. Does the confidence interval contradict this claim?

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 10.1, Problem 23E

Chapter 10.1, Problem 25E

Chapter 10 Solutions

ELEM. STATISTICS TEXT W/ MANUAL+CONNECT

Ch. 10.1 - In Exercises 5 and 6, fill in each blank with e...Ch. 10.1 - In Exercises 5 and 6, fill in each blank with e...Ch. 10.1 - Prob. 7E Ch. 10.1 - Prob. 8E Ch. 10.1 - In Exercises 9-14, construct the confidence...Ch. 10.1 - Prob. 10E Ch. 10.1 - In Exercises 9-14, construct the confidence...Ch. 10.1 - Prob. 12E Ch. 10.1 - Prob. 13E Ch. 10.1 - Prob. 14E

Ch. 10.1 - Does this diet help? A group of 78 people enrolled...Ch. 10.1 - Contaminated water: The concentration of benzene...Ch. 10.1 - Fertilizer: In an agricultural experiment, the...Ch. 10.1 - Computer crashes: A computer system administrator...Ch. 10.1 - Are you smarter than your older brother? In a...Ch. 10.1 - Effectiveness of distance learning: A study was...Ch. 10.1 - Boys and girls: The National Health Statistics...Ch. 10.1 - Body mass index: In a survey of adults with...Ch. 10.1 - Energy drinks: A survey of college students...Ch. 10.1 - Low-fat or low-carb? Are low-fat diets or low-carb...Ch. 10.1 - Online testing: Do you prefer taking tests on...Ch. 10.1 - Drive safely: How often does the average driver...Ch. 10.1 - Interpret calculator display: The following TI-84...Ch. 10.1 - Prob. 28E Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Prob. 31E Ch. 10.2 - In Exercises 3 and 4, fill in each blank with the...Ch. 10.2 - Prob. 4E Ch. 10.2 - Prob. 5E Ch. 10.2 - Prob. 6E Ch. 10.2 - In Exercises 7-12, construct the confidence...Ch. 10.2 - In Exercises 7-12, construct the confidence...Ch. 10.2 - In Exercises 7-12, construct the confidence...Ch. 10.2 - In Exercises 7-12, construct the confidence...Ch. 10.2 - In Exercises 7-12, construct the confidence...Ch. 10.2 - Prob. 12E Ch. 10.2 - Traffic accidents: Traffic engineers compared...Ch. 10.2 - Computers in the classroom: In a new experimental...Ch. 10.2 - Pain after surgery: In a random sample of 50...Ch. 10.2 - Pretzels: In order to judge the effectiveness of...Ch. 10.2 - Defective electronics: A team of designers was...Ch. 10.2 - Satisfied? A poll taken by the General Social...Ch. 10.2 - Cancer prevention: Colonoscopy is a medical...Ch. 10.2 - Social media: A Pew poll found that in a sample of...Ch. 10.2 - Interpret calculator display: The following TI-84...Ch. 10.2 - Prob. 22E Ch. 10.2 - Prob. 23E Ch. 10.2 - Prob. 24E Ch. 10.2 - Finding the sample size: Polls are to be conducted...Ch. 10.3 - In Exercises 3 and 4, fill in each blank with the...Ch. 10.3 - Prob. 4E Ch. 10.3 - Prob. 5E Ch. 10.3 - In Exercises 5 and 6, determine whether the...Ch. 10.3 - Fast computer: microprocessors are compared on a...Ch. 10.3 - Brake wear: For a sample of 9 automobiles, the...Ch. 10.3 - Strength of concrete: The compressive strength, m...Ch. 10.3 - Truck pollution: In an experiment to determine the...Ch. 10.3 - High cholesterol: A group of eight individuals...Ch. 10.3 - Tires and fuel economy: A tire manufacturer is...Ch. 10.3 - Growth spurt: It is generally known that boys grow...Ch. 10.3 - SAT coaching: A sample of 32 students took a class...Ch. 10.3 - Interpret calculator display: The following TI-84...Ch. 10.3 - Interpret calculator display: The following TI-84...Ch. 10.3 - Prob. 17E Ch. 10.3 - Prob. 18E Ch. 10.3 - Advantage of matched pairs: Refer to Exercise 12....Ch. 10.3 - Paired or independent? To construct a confidence...Ch. 10 - In Exercises 1 and 2, determine whether the...Ch. 10 - Prob. 2CQ Ch. 10 - Prob. 3CQ Ch. 10 - Prob. 4CQ Ch. 10 - Prob. 5CQ Ch. 10 - Prob. 6CQ Ch. 10 - Prob. 7CQ Ch. 10 - Prob. 8CQ Ch. 10 - Prob. 9CQ Ch. 10 - Prob. 10CQ Ch. 10 - Prob. 11CQ Ch. 10 - Refer to Exercise 11. Find the critical value for...Ch. 10 - Prob. 13CQ Ch. 10 - Prob. 14CQ Ch. 10 - Prob. 15CQ Ch. 10 - Prob. 1RE Ch. 10 - Prob. 2RE Ch. 10 - Prob. 3RE Ch. 10 - Prob. 4RE Ch. 10 - Prob. 5RE Ch. 10 - Prob. 6RE Ch. 10 - Prob. 7RE Ch. 10 - Prob. 8RE Ch. 10 - Prob. 9RE Ch. 10 - Prob. 10RE Ch. 10 - Prob. 11RE Ch. 10 - Prob. 12RE Ch. 10 - Prob. 13RE Ch. 10 - Prob. 14RE Ch. 10 - Prob. 15RE Ch. 10 - Prob. 1WAI Ch. 10 - Prob. 2WAI Ch. 10 - Prob. 3WAI Ch. 10 - Prob. 4WAI Ch. 10 - Prob. 1CS Ch. 10 - Prob. 2CS Ch. 10 - Prob. 3CS

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Solution Summary: The author explains how the confidence interval for difference in mean weight loss between the low fat and low-carb diet is (-0.38,4.58).

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Chapter 10 Solutions