The scores of students on the SAT college entrance examinations at a certain 535.9 and standard deviation high school had a normal distribution with mean u = 25.1. %3D (a) What is the probability that a single student randomly chosen from all those taking the test scores 540 or higher? ANSWER: For parts (b) through (d), consider a simple random sample (SRS) of 25 students who took the test. (b) What are the mean and standard deviation of the sample mean score , of 25 students? The mean of the sampling distribution for a is: The standard deviation of the sampling distribution for is: (c) What z-score corresponds to the mean score of 540? ANSWER: (d) What is the probability that the mean score a of these students is 540 or higher? ANSWER:

The scores of students on the SAT college entrance examinations at a certain 535.9 and standard deviation high school had a normal distribution with mean u = 25.1. %3D (a) What is the probability that a single student randomly chosen from all those taking the test scores 540 or higher? ANSWER: For parts (b) through (d), consider a simple random sample (SRS) of 25 students who took the test. (b) What are the mean and standard deviation of the sample mean score , of 25 students? The mean of the sampling distribution for a is: The standard deviation of the sampling distribution for is: (c) What z-score corresponds to the mean score of 540? ANSWER: (d) What is the probability that the mean score a of these students is 540 or higher? ANSWER:

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

The scores of students on the SAT college entrance examinations at a certain
535.9 and standard deviation
high school had a normal distribution with mean u
25.1.
(a) What is the probability that a single student randomly chosen from all those taking
the test scores 540 or higher?
ANSWER:
For parts (b) through (d), consider a simple random sample (SRS) of 25 students who
took the test.
(b) What are the mean and standard deviation of the sample mean score , of 25
students?
The mean of the sampling distribution for a is:
The standard deviation of the sampling distribution for is.
(c) What z-score corresponds to the mean score i of 540?
ANSWER:
(d) What is the probability that the mean score a of these students is 540 or higher?
ANSWER:

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