Use the mean and standard deviation formula for a Uniform Distribution for our population distribution.Take the mean and standard deviation from your population distribution to find the mean and standard error of your sampling distribution. Don’t forget to label your axes and do not forget to write out your calculator command.Don’t forget the units on your percentile. Every statistic has the same units as your variable.All this information that is above goes with the image attached Please please answer everything please at least try to answer everything please I would really appreciate it thank you Suppose that the length of research papers is uniformly distributed from 10 to 25 pages.We survey a class in which 55 research papers were turned into a professor. The 55research papers are considered a random collection of all papers. Let X denote theaverage length of the research papers.(a) Calculate the probability that the average length of the papers is at most 17 pageslong. Shade the appropriate area on the distribution. Scale and label your axes.n(b) What is the 90th percentile for the average length of the papers? Shade theappropriate area on the distribution. Scale and label your axes. Use proper units.n(c) How would your answers for parts (a) and (b) change if the sample size had been20?

Answered: Suppose that the length of research…

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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Use the mean and standard deviation formula for a Uniform Distribution for our population distribution. Take the mean and standard deviation from your population distribution to find the mean and standard error of your sampling distribution. Don’t forget to label your axes and do not forget to write out your calculator command. Don’t forget the units on your percentile. Every statistic has the same units as your variable. All this information that is above goes with the image attached Please please answer everything please at least try to answer everything please I would really appreciate it thank you

Suppose that the length of research papers is uniformly distributed from 10 to 25 pages.
We survey a class in which 55 research papers were turned into a professor. The 55
research papers are considered a random collection of all papers. Let X denote the
average length of the research papers.
(a) Calculate the probability that the average length of the papers is at most 17 pages
long. Shade the appropriate area on the distribution. Scale and label your axes.
n
(b) What is the 90th percentile for the average length of the papers? Shade the
appropriate area on the distribution. Scale and label your axes. Use proper units.
n
(c) How would your answers for parts (a) and (b) change if the sample size had been
20?

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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