Suppose x has a distribution with a mean of 20 and a standard deviation of 4. Random samples of size n = 64 are drawn. A USE SALT (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has Select--- v distribution with mean u = and standard deviation o, = (b) Find the z value corresponding to x = 19.5. (c) Find P(x < 19.5). (Round your answer to four decimal places.) P(x < 19.5) = (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 19.5? Explain. O Yes, it would be unusual because less than 5% of all such samples have means less than 19.5. O No, it would not be unusual because more than 5% of all such samples hare means less than 19.5. O Yes, it would be unusual because more than 5% of all such samples have means less than 19.5. O No, it would not be unusual because less than 5% of all such samples have means less than 19.5.

Suppose x has a distribution with a mean of 20 and a standard deviation of 4. Random samples of size n = 64 are drawn. A USE SALT (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has Select--- v distribution with mean u = and standard deviation o, = (b) Find the z value corresponding to x = 19.5. (c) Find P(x < 19.5). (Round your answer to four decimal places.) P(x < 19.5) = (d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 19.5? Explain. O Yes, it would be unusual because less than 5% of all such samples have means less than 19.5. O No, it would not be unusual because more than 5% of all such samples hare means less than 19.5. O Yes, it would be unusual because more than 5% of all such samples have means less than 19.5. O No, it would not be unusual because less than 5% of all such samples have means less than 19.5.

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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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Suppose x has a distribution with a mean of 20 and a standard deviation of 4. Random samples of size n = 64 are drawn.
LUSE SALT
(a) Describe the x distribution and compute the mean and standard deviation of the distribution.
x has
-Select---
v distribution with mean µ,
and standard deviationo- =
(b) Find the z value corresponding to x = 19.5.
(c) Find P(x < 19.5). (Round your answer to four decimal places.)
P(x < 19.5) =
(d) Would it be unusual for a random sample of size 64 from the x distribution to have a sample mean less than 19.5? Explain.
O Yes, it would be unusual because less than 5% of all such samples have means less than 19.5.
O No, it would not be unusual because more than 5% of all such samples hare means less than 19.5.
O Yes, it would be unusual because more than 5% of all such samples have means less than 19.5.
O No, it would not be unusual because less than 5% of all such samples have means less than 19.5.
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A person's blood glucose level and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the
random variable x will have a distribution that is approximately normal with mean u
81 and standard deviation o = 25. Note: After 50 years of age, both the mean and standard deviation tend to increas
For an adult (under 50) after a 12-hour fast, find the following probabilities. (Round your answers to four decimal places.)
A USE SALT
(a) x is more than 60
(b) x is less than 110
(c) x is between 60 and 110
(d) x is greater than 125 (borderline diabetes starts at 125)
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