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Name: Is sea level the same along all coastal regions? To examine this a sam
Uploaded: 2024-03-20T07:07:12.000Z
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Description: Is sea level the same along all coastal regions? To examine this a sample of 12 coastal locations in the Gulf Coast had mean sea level 5.3953m and standard deviation 2.2559m. A sample of 17 locations along the eastern seaboard had a mean 3.4028m and

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 26PFA

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Is sea level the same along all coastal regions? To examine this a sample of 12 coastal locations in the Gulf Coast had mean sea level 5.3953m and standard deviation 2.2559m. A sample of 17 locations along the eastern seaboard had a mean 3.4028m and a standard deviation of 1.036m.

a. What is the point estimate for the difference in mean sea level?

b. What is the standard error of the difference in means?

c. What is the margin of error for a 99% confidence interval?

d. Construct and interpret the confidence interval for the difference in mean sea level between the Gulf Coast and the eastern seaboard.

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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