Answered: The filling procedure is not perfect,…

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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Transcribed Image Text:A certain brand of jelly beans are made so that each package contains about the same number of beans. The filling procedure is not perfect, however. The packages are filled with an average of 375 Jelly beans, but the number going into each bag is normally distributed with a standard deviation of 8. Yesterday, Jane went to the store and purchased four of these packages in preparation for a Spring party. Jane was curious, and she counted the number of jelly beans in these packages - her four bags contained an average of 382 jelly beans.

Transcribed Image Text:3.1 In the above scenario, which of the following is a parameter? a. The average number of Jelly beans in Jane's packages, which is 382 b. The average number of jelly beans in Jane's packages, which is unknown C. The average number of jelly beans in all packages made, which is 375 d. The average number of jelly beans in all packages made, which is unknown 3.2 If you went to the store and purchased six bags of this brand of jelly beans, what is the probability that the average number of jelly beans in your bags is less than 373? a. 0.2709 b. 0.3085 C. 0.4013 d. 0.7291 Calculations: 3.3 According to the central limit theorem, what is the standard deviation of the sampling distribution of the sample mean? a. The standard deviation of the population b. The standard deviation of the sample e, C. The standard deviation of the population divided by the square root of the sample size d. The standard deviation of the sample divided by the square root of the sample size

Expert Solution

Step 1

3.1

Parameter describes the characteristics of the population whereas the statistic defines the characteristics of the sample.

In this case, the population mean is 375 and the sample mean is 382.

Hence, we see that population parameter will be the average number of jelly beans in all packages made, i.e 375.
The sample statistics will be defined as the average number of jelly beans in Jane’s packages, i.e, 382.

Hence, the correct option is:

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