Answered: In a survey conducted to determine the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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13011303In a survey conducted to determine the costs of holidays, 196 individuals were randomly sampled. Each was asked to assess the total cost of his or her most recent holiday. The average cost was $1386.

Part A

Assuming that the population standard deviation was $500, estimate the population mean cost of holidays with 99% confidence. Give the lower and upper limits of this confidence interval to the nearest whole number of dollars in the form xxxx

(Do not include a dollar sign.)

Part B

What is the width of the confidence interval? Give your answer to the nearest whole number

Part C

True or false:

The width of a 95% confidence interval would be larger. Answer by placing T or F in the space provided.

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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