Only information from question 1 on this practice problem was that the mean was 35,000 kg. And the standard deviation was 3,500 kg 2) Refer to problem 1. Now assume you take a sample of n = 9 dinosaurs.a) What is the probability of the sample average being within 1,000 kg of the population mean(35,000 kg)?In other words, you need to figure out Pr{μ- 1,000 < Y < µ+ 1,000}b) What is the probability of the sample average being within 1,000 kg of the population mean ifthe population mean is actually μ = 38,000 kg?Are you surprised? Why or why not? You should make sure you understand whathappened here.c) Now assume a sample of n = 16 dinosaurs and repeat (a).What is the effect of sample size?

a)The probability of the sample average being within 1,000 kg of the population mean (35,000 kg) is…

Answered: 2) Refer to problem 1. Now assume you…

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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Only information from question 1 on this practice problem was that the mean was 35,000 kg. And the standard deviation was 3,500 kg

2) Refer to problem 1. Now assume you take a sample of n = 9 dinosaurs.
a) What is the probability of the sample average being within 1,000 kg of the population mean
(35,000 kg)?
In other words, you need to figure out Pr{μ- 1,000 < Y < µ+ 1,000}
b) What is the probability of the sample average being within 1,000 kg of the population mean if
the population mean is actually μ = 38,000 kg?
Are you surprised? Why or why not? You should make sure you understand what
happened here.
c) Now assume a sample of n = 16 dinosaurs and repeat (a).
What is the effect of sample size?

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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