You measure 3333 turtles' weights, and find they have a mean weight of 6767 ounces and standard deviation 4.94.9 ounces. You construct a 99%99% confidence interval for the true population mean turtle weight to be 64.8<μ<69.264.8<μ<69.2.Do your results support the claim that the mean turtle weight is 6363 ounces?Since the claimed mean is outside of the 99% confidence interval, we can not support this claim.Since the accepted population average is outside of the 99% confidence interval, we conclude that the sample results are not significantly different.Since the claimed mean is inside of the 99% confidence interval, we can support this claim.Since the claimed mean is outside of the 99% confidence interval, we conclude that the sample results are significantly different.

The problem is asking whether the claim that the mean turtle weight is 63 ounces is supported by the…

Answered: You measure 3333 turtles' weights, and…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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You measure 3333 turtles' weights, and find they have a mean weight of 6767 ounces and standard deviation 4.94.9 ounces. You construct a 99%99% confidence interval for the true population mean turtle weight to be 64.8<μ<69.264.8<μ<69.2.

Do your results support the claim that the mean turtle weight is 6363 ounces?

Since the claimed mean is outside of the 99% confidence interval, we can not support this claim.
Since the accepted population average is outside of the 99% confidence interval, we conclude that the sample results are not significantly different.
Since the claimed mean is inside of the 99% confidence interval, we can support this claim.
Since the claimed mean is outside of the 99% confidence interval, we conclude 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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