For a random sample of 300 bears, what is the probability of obtaining a sample mean less than 680 pounds? Round to 4 digits beyond the decimal point. (image for reference) Alaska's Katmnai National Park celebrates fat bear week every yearin the beginning of October, when brown bears are getting readyto go into hibernation. During the fat bear week, the public voteson bears to advance in the bracket through single-eliminationrounds. Adult male bears regularly weigh around and even over1000 pounds for their peak fall weights, while adult female bearsgenerally weigh 1/3 less than the males. Suppose the weights ofall ready-to-hibernate brown bears in the national park aredistributed as shown in the following histogram.Weights of Bears251020040060080010001200Weight in poundsThe mean of all the peak fall bear weights is 695 pounds, and thestandard deviation is 279 pounds.15)

Given Data : Population Mean,μ = 695 Population Standard Deviation,σ = 279

Answered: Alaska's Katmai National Park…

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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For a random sample of 300 bears, what is the probability of obtaining a sample mean less than 680 pounds? Round to 4 digits beyond the decimal point. (image for reference)

Alaska's Katmnai National Park celebrates fat bear week every year
in the beginning of October, when brown bears are getting ready
to go into hibernation. During the fat bear week, the public votes
on bears to advance in the bracket through single-elimination
rounds. Adult male bears regularly weigh around and even over
1000 pounds for their peak fall weights, while adult female bears
generally weigh 1/3 less than the males. Suppose the weights of
all ready-to-hibernate brown bears in the national park are
distributed as shown in the following histogram.
Weights of Bears
25
10
200
400
600
800
1000
1200
Weight in pounds
The mean of all the peak fall bear weights is 695 pounds, and the
standard deviation is 279 pounds.
15)

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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