Suppose x has a normal distribution with mean u = 42 and standard deviation o = 13. Describe the distribution of x values for sample size n = 4. (Round o, to two decimal places.) H = Describe the distribution of x values for sample size n = 16. (Round o, to two decimal places.) Describe the distribution of x values for sample size n = 100. (Round o, to two decimal places.) Hj = How do the x distributions compare for the various samples sizes? The means are the same, but the standard deviations are decreasing with increasing sample size. The standard deviations are the same, but the means are increasing with increasing sample size. The standard deviations are the same, but the means are decreasing with increasing sample size. The means and standard deviations are the same regardless of sample size. The means are the same, but the standard deviations are increasing with increasing sample size.

Suppose x has a normal distribution with mean u = 42 and standard deviation o = 13. Describe the distribution of x values for sample size n = 4. (Round o, to two decimal places.) H = Describe the distribution of x values for sample size n = 16. (Round o, to two decimal places.) Describe the distribution of x values for sample size n = 100. (Round o, to two decimal places.) Hj = How do the x distributions compare for the various samples sizes? The means are the same, but the standard deviations are decreasing with increasing sample size. The standard deviations are the same, but the means are increasing with increasing sample size. The standard deviations are the same, but the means are decreasing with increasing sample size. The means and standard deviations are the same regardless of sample size. The means are the same, but the standard deviations are increasing with increasing sample size.

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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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

100%

Suppose x has a normal distribution with mean u = 42 and standard deviation o = 13.
Describe the distribution of x values for sample size n = 4. (Round o, to two decimal places.)
Describe the distribution of x values for sample sizen =
16. (Round o, to two decimal places.)
Describe the distribution of x values for sample size n = 100. (Round o, to two decimal places.)
How do the x distributions compare for the various samples sizes?
The means are the same, but the standard deviations are decreasing with increasing sample size.
The standard deviations are the same, but the means are increasing with increasing sample size.
The standard deviations are the same, but the means are decreasing with increasing sample size.
The means and standard deviations are the same regardless of sample size.
The means are the same, but the standard deviations are increasing with increasing sample size.

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