You measure 3030 turtles' weights, and find they have a mean weight of 6262 ounces and standard deviation 10.910.9 ounces. Based on this, you construct a 90%90% confidence interval for the true population mean turtle weight to be 58.73<μ<65.2758.73<μ<65.27.Do these results show that the mean turtle weight has significantly changed from the previously determined weight of 5656 ounces?Since the claimed population mean is outside of the 90% confidence interval, we conclude that there is a 90% chance that the sample results are significantly different.Since the claimed population mean is outside of the 90% confidence interval, we conclude that the sample results are significantly different.Since the accepted population average is outside of the 90% confidence interval, we conclude that the sample results are not significantly different.Since the accepted population average is outside of the 90% confidence interval, we conclude that there is a 10% chance that the sample results are significantly different.

The problem is asking whether the mean turtle weight has significantly changed from the previously…

Answered: You measure 3030 turtles' weights, and…

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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You measure 3030 turtles' weights, and find they have a mean weight of 6262 ounces and standard deviation 10.910.9 ounces. Based on this, you construct a 90%90% confidence interval for the true population mean turtle weight to be 58.73<μ<65.2758.73<μ<65.27.

Do these results show that the mean turtle weight has significantly changed from the previously determined weight of 5656 ounces?

Since the claimed population mean is outside of the 90% confidence interval, we conclude that there is a 90% chance that the sample results are significantly different.
Since the claimed population mean is outside of the 90% confidence interval, we conclude that the sample results are significantly different.
Since the accepted population average is outside of the 90% confidence interval, we conclude that the sample results are not significantly different.
Since the accepted population average is outside of the 90% confidence interval, we conclude that there is a 10% chance that the sample results are significantly different.

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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