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Name: How often do people who live near the beach actually visit the beach?
Uploaded: 2024-03-20T07:07:12.000Z
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Description: How often do people who live near the beach actually visit the beach? A random sample of 25 residents in a coastal town revealed that the residents visited the beach 28.1 days a year on average. The standard deviation of the sample is 5.5 days. We wi

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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How often do people who live near the beach actually visit the beach? A random sample of 25 residents in a coastal town revealed that the residents visited the beach 28.1 days a year on average. The standard deviation of the sample is 5.5 days. We wish to use the data to estimate the average number of days in a year that all coastal dwellers visit the beach.

a. Find the point estimate for the mean number of days at the beach.

b. What is the standard error for the sample mean?

c. Find the multiplier for a 95% confidence interval for the mean.

d. State the margin of error.

e. Construct and interpret the 95% confidence interval for the mean number of days coastal dwellers visit the beach each year.

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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