Pearson eText Introductory Statistics: Exploring the World Through Data -- Instant Access (Pearson+)

3rd Edition

ISBN: 9780136880882

Author: Robert Gould, Rebecca Wong

Publisher: PEARSON+

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Chapter 11, Problem 57CRE

Triglycerides and Gender Using the NHANES data, we performed an ANOVA to test whether gender is associated with level of triglycerides, a form of fat, in the blood. ANOVA and t-test output from a two-sample t-test is shown. In both cases, we are testing the hypothesis that the mean triglyceride levels for men and women are different. Assume that conditions for both tests have been met.

Chapter 11, Problem 57CRE, Triglycerides and Gender Using the NHANES data, we performed an ANOVA to test whether gender is

Compare the output by comparing p-values. Square the t-value to see what you get for comparison. Explain.

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, Problem 56CRE

Chapter 11, Problem 58CRE

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Chapter 11 Solutions

Pearson eText Introductory Statistics: Exploring the World Through Data -- Instant Access (Pearson+)

Ch. 11 - In Exercises 11.1 and 11.2, for each situation,...Ch. 11 - In Exercises 11.1 and 11.2, for each situation,...Ch. 11 - Bonferroni Correction (Example 1) Suppose you have...Ch. 11 - Prob. 4SE Ch. 11 - Apartment Rents Random samples of rents for...Ch. 11 - Prob. 6SE Ch. 11 - Gas Prices The website Gasbuddy.com reports the...Ch. 11 - More Gas Prices The following table shows the...Ch. 11 - Prob. 9SE Ch. 11 - Prob. 10SE

Ch. 11 - Gas Price Intervals Use the data from exercise...Ch. 11 - Gas Price Intervals Use the data from exercise...Ch. 11 - Prob. 13SE Ch. 11 - Baseball Position and Hits Use the data in the...Ch. 11 - Comparing F -Values from Boxplots (Example 3)...Ch. 11 - Comparing F -Values from Boxplots Refer to the...Ch. 11 - Marital Status and Cholesterol (Example 4) Refer...Ch. 11 - Marital Status and Blood Pressure Test the...Ch. 11 - Schoolwork and Class (Example 5) A random survey...Ch. 11 - TV Hours A random survey was done at a small...Ch. 11 - Schoolwork and Class Use the information for...Ch. 11 - TV Hours Use the information for exercise 11.20....Ch. 11 - Schoolwork Again Go back to the information in...Ch. 11 - TV Hours Again Go back to the information in...Ch. 11 - Pulse Rates (Example 6) Pulse rates were taken for...Ch. 11 - UCLA Music Survey The figure shows side-by-side...Ch. 11 - Commute Times by Method A survey was given to...Ch. 11 - Gas Price ANOVA Based on the following output,...Ch. 11 - Apartment Rents (Example 7) Samples of rents for...Ch. 11 - Study Hours by Major Three independent random...Ch. 11 - Salary by Type of College Information was gathered...Ch. 11 - Draft Lottery When the draft lottery for military...Ch. 11 - Reaction Times for Athletes A random sample of...Ch. 11 - Tomato Plants and Colored Light Jennifer Brogan, a...Ch. 11 - GPAs by Seating Choice A random sample of students...Ch. 11 - Reading Comprehension Sixty-six reading students...Ch. 11 - Hours of Steep and Health Status In a study done...Ch. 11 - Happiness and Age Category StatCrunch surveyed...Ch. 11 - Prob. 41SE Ch. 11 - House Prices Tukey HSD confidence intervals (with...Ch. 11 - GPA and Row (Example 8) A random sample of...Ch. 11 - Reading Scores by Teaching Method Refer to...Ch. 11 - Reaction Distances Use the data given in exercise...Ch. 11 - Study Hours Use the data given in exercise 11.32....Ch. 11 - Prob. 47SE Ch. 11 - Tomatoes Use the data given in exercise 11.36....Ch. 11 - Concern over Nuclear Power Following the...Ch. 11 - Social Media Use A StatCrunch survey asked...Ch. 11 - Happiness and Age Consider the data from the...Ch. 11 - GPA and Row Number Suppose you collect data on...Ch. 11 - Contacting Mother Professors of ethics (Eth),...Ch. 11 - Ideal Percentage to Charity Professors of ethics...Ch. 11 - Actual Percentage to Charity Professors of ethics...Ch. 11 - Hours of Television by Age Group The StatCrunch...Ch. 11 - Triglycerides and Gender Using the NHANES data, we...Ch. 11 - Cholesterol and Gender Using NHANES data, we...

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Solution Summary: The author compares the output of ANOVA and two sample t-test. The following hypothesis is constructed for both the tests for comparison of the means.

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