(a) Explanation Calculation: Mean and standard deviation for x 1 : Use Ti 83 calculator to find the mean and standard deviation as follows: Select STAT > Edit > Enter the values of x 1 as L1 . Click 2 nd button; STAT ; take the arrow to the MATH menu, and then ‘ 3 ’ numbered key. Click 2 nd button; then ‘ 1 ’ numbered key to get L1 , and close the ‘ ) ’ bracket. Click Enter . Click 2 nd button; STAT ; take the arrow to the MATH menu, and then ‘ 7 ’ numbered key. Click 2 nd button; then ‘ 1 ’ numbered key to get L1 , and close the ‘ ) ’ bracket. Click Enter . Output using Ti 83 calculator is given below: From the Ti 83 calculator output, the mean value is 259.6, and standard deviation value is 12.1. Mean and standard deviation for x 2 : Use Ti 83 calculator to find the mean and standard deviation as follows: Select STAT > Edit > Enter the values of x 2 as L2 (b) To determine Find the 99% confidence interval for μ 1 − μ 2 . (c) To determine Interpret the confidence interval in the context of the problem. Identify whether the interval consist of numbers that are all positive or all negative or of different signs. Explain whether professional football players tend to have a higher population mean weight than professional basketball players at 99% level of confidence. (d) To determine Identify and explain the distribution that is used for calculating interval.

WebAssign Printed Access Card for Brase/Brase's Understandable Statistics: Concepts and Methods, 12th Edition, Single-Term

12th Edition

ISBN: 9781337652551

Author: Charles Henry Brase, Corrinne Pellillo Brase

Publisher: Cengage Learning

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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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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 + ...

Chapter 7.4, Problem 14P

(a)

To determine

Check the sample mean by using the calculator.

Check the sample standard deviation by using the calculator.

(b)

To determine

Find the 99% confidence interval for μ1−μ2.

(c)

To determine

Interpret the confidence interval in the context of the problem.

Identify whether the interval consist of numbers that are all positive or all negative or of different signs.

Explain whether professional football players tend to have a higher population mean weight than professional basketball players at 99% level of confidence.

(d)

To determine

Identify and explain the distribution that is used for calculating interval.

Expert Solution & Answer

Chapter 7 Solutions

WebAssign Printed Access Card for Brase/Brase's Understandable Statistics: Concepts and Methods, 12th Edition, Single-Term

Ch. 7.1 - Basic Computation: Confidence Interval Suppose x...Ch. 7.1 - Basic Computation: Confidence Interval Suppose x...Ch. 7.1 - Basic Computation: Sample Size Suppose x has a...Ch. 7.1 - Basic Computation: Sample Size Suppose x has a...Ch. 7.1 - Zoology: Hummingbirds Allens hummingbird...Ch. 7.1 - Diagnostic Tests: Uric Acid Overproduction of uric...Ch. 7.1 - Diagnostic Tests: Plasma Volume Total plasma...Ch. 7.1 - Agriculture: Watermelon What price do farmers get...Ch. 7.1 - Prob. 19P Ch. 7.1 - Confidence Intervals: Values of A random sample...Ch. 7.1 - Confidence Intervals: Sample Size A random sample...Ch. 7.1 - Ecology: Sand Dunes At wind speeds above 1000...Ch. 7.1 - Prob. 23P Ch. 7.1 - Prob. 24P Ch. 7.1 - Prob. 25P Ch. 7.2 - Use Table 6 of Appendix II to find tc for a 0.95...Ch. 7.2 - Prob. 2P Ch. 7.2 - Prob. 3P Ch. 7.2 - Prob. 4P Ch. 7.2 - Prob. 5P Ch. 7.2 - Prob. 6P Ch. 7.2 - Prob. 7P Ch. 7.2 - Prob. 8P Ch. 7.2 - Prob. 9P Ch. 7.2 - Prob. 10P Ch. 7.2 - Basic Computation: Confidence Interval Suppose x...Ch. 7.2 - Basic Computation: Confidence Interval A random...Ch. 7.2 - In Problems 1319, assume that the population of x...Ch. 7.2 - In Problems 1319, assume that the population of x...Ch. 7.2 - In Problems 1319, assume that the population of x...Ch. 7.2 - In Problems 1319, assume that the population of x...Ch. 7.2 - In Problems 1319, assume that the population of x...Ch. 7.2 - Prob. 18P Ch. 7.2 - Prob. 19P Ch. 7.2 - Prob. 20P Ch. 7.2 - Prob. 21P Ch. 7.2 - Prob. 22P Ch. 7.2 - Prob. 23P Ch. 7.3 - For all these problems, carry at least four digits...Ch. 7.3 - Prob. 2P Ch. 7.3 - Prob. 3P Ch. 7.3 - Prob. 4P Ch. 7.3 - For all these problems, carry at least four digits...Ch. 7.3 - Prob. 6P Ch. 7.3 - Prob. 7P Ch. 7.3 - Prob. 8P Ch. 7.3 - Prob. 9P Ch. 7.3 - For all these problems, carry at least four digits...Ch. 7.3 - Prob. 11P Ch. 7.3 - Prob. 12P Ch. 7.3 - Prob. 13P Ch. 7.3 - For all these problems, carry at least four digits...Ch. 7.3 - Prob. 15P Ch. 7.3 - Prob. 16P Ch. 7.3 - Prob. 17P Ch. 7.3 - Prob. 18P Ch. 7.3 - Prob. 19P Ch. 7.3 - Prob. 20P Ch. 7.3 - Prob. 21P Ch. 7.3 - Prob. 22P Ch. 7.3 - Prob. 23P Ch. 7.3 - Prob. 24P Ch. 7.3 - Prob. 25P Ch. 7.3 - Prob. 26P Ch. 7.3 - Prob. 27P Ch. 7.3 - Prob. 28P Ch. 7.4 - Prob. 1P Ch. 7.4 - Prob. 2P Ch. 7.4 - Prob. 3P Ch. 7.4 - Prob. 4P Ch. 7.4 - Prob. 5P Ch. 7.4 - Prob. 6P Ch. 7.4 - Prob. 7P Ch. 7.4 - Prob. 8P Ch. 7.4 - Prob. 9P Ch. 7.4 - Prob. 10P Ch. 7.4 - Prob. 11P Ch. 7.4 - Prob. 12P Ch. 7.4 - Prob. 13P Ch. 7.4 - Prob. 14P Ch. 7.4 - Prob. 15P Ch. 7.4 - Prob. 16P Ch. 7.4 - Answers may vary slightly due to rounding....Ch. 7.4 - Prob. 18P Ch. 7.4 - Prob. 19P Ch. 7.4 - Prob. 20P Ch. 7.4 - Prob. 21P Ch. 7.4 - Prob. 22P Ch. 7.4 - Prob. 23P Ch. 7.4 - Prob. 24P Ch. 7.4 - Prob. 25P Ch. 7.4 - Prob. 26P Ch. 7.4 - Prob. 27P Ch. 7.4 - Prob. 28P Ch. 7.4 - Prob. 29P Ch. 7.4 - Prob. 30P Ch. 7.4 - Prob. 31P Ch. 7 - Prob. 1CRP Ch. 7 - Critical Thinking Suppose you are told that a 95%...Ch. 7 - Prob. 3CRP Ch. 7 - Prob. 4CRP Ch. 7 - Prob. 5CRP Ch. 7 - For Problems 419, categorize each problem...Ch. 7 - Prob. 7CRP Ch. 7 - For Problems 419, categorize each problem...Ch. 7 - Prob. 9CRP Ch. 7 - For Problems 419, categorize each problem...Ch. 7 - For Problems 419, categorize each problem...Ch. 7 - For Problems 419, categorize each problem...Ch. 7 - Prob. 13CRP Ch. 7 - Prob. 14CRP Ch. 7 - Prob. 15CRP Ch. 7 - For Problems 419, categorize each problem...Ch. 7 - Prob. 17CRP Ch. 7 - Prob. 18CRP Ch. 7 - Prob. 19CRP Ch. 7 - Prob. 1DH Ch. 7 - Prob. 2DH Ch. 7 - Prob. 3DH Ch. 7 - Prob. 1LC Ch. 7 - Prob. 2LC Ch. 7 - Prob. 3LC Ch. 7 - Prob. 1UT

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Check the sample mean by using the calculator. Check the sample standard deviation by using the calculator.

Solution Summary: The author explains how to calculate the mean and standard deviation for x_1 using Ti 83 calculator.

Concept explainers

Videos

Check the sample mean by using the calculator. Check the sample standard deviation by using the calculator.

Find the 99% confidence interval for μ1−μ2.

Identify and explain the distribution that is used for calculating interval.

Chapter 7 Solutions

Check the sample mean by using the calculator.

Check the sample standard deviation by using the calculator.