Answer: (a) ![13.046](https://tex.z-dn.net/?f=13.046%3C%5Cmu%3C%2022.15)
(b) The best point estimate of
is the sample mean ![=17.598](https://tex.z-dn.net/?f=%3D17.598)
The margin of error = 4.552
Step-by-step explanation:
Given : The confidence interval for the population mean = (13.046 , 22.15)
Sample mean : ![\overline{x}=17.598](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D17.598)
Standard deviation : ![\sigma= 16.01712719](https://tex.z-dn.net/?f=%5Csigma%3D%2016.01712719)
Sample size : ![n=50](https://tex.z-dn.net/?f=n%3D50)
a. Let
represents the population mean.
Then we can write the confidence interval for the population mean as :-
![13.046](https://tex.z-dn.net/?f=13.046%3C%5Cmu%3C%2022.15)
b. The best point estimate of
is the sample mean ![=17.598](https://tex.z-dn.net/?f=%3D17.598)
Also, the lower limit of confidence interval can be written as
![\overlien{x}-E](https://tex.z-dn.net/?f=%5Coverlien%7Bx%7D-E)
i.e. ![\overlien{x}-E=13.046](https://tex.z-dn.net/?f=%5Coverlien%7Bx%7D-E%3D13.046)
![E=\overline{x}-13.046=17.598 -13.046=4.552](https://tex.z-dn.net/?f=E%3D%5Coverline%7Bx%7D-13.046%3D17.598%20-13.046%3D4.552)
Hence, the margin of error = 4.552
Sure the sin function is an odd function because sin (-Ф) = - sin (Ф)
Example: sin (- 30°) = - sin (30°) = -1/2
Answer:
10: 5%
11: 11.1%
12: 11.1%
Step-by-step explanation:
take each one and do its chances.
10: 1/3 * 1/3 * 1/2
11: 2/3 * 1/2 * 1/3
12: 1/3 * 1/2 * 2/3
:)
Answer:
6
Step-by-step explanation:
(y1-y2)/(x1-x2) = (-1-5)/(0-1) = -6/-1 = 6
The expression that represents the volume of the composite figure is: 1/3(8)(6)(6) + (8)(6)(4).
<h3>What is the Volume of a Composite Figure?</h3>
The volume for the given composite figure = volume of the rectangular pyramid + volume of rectangular prism.
= 1/3(l)(w)(h) + (l)(w)(h)
Thus, with the given dimensions, plug in the values to get the expression represents the volume of the composite figure:
Volume = 1/3(8)(6)(6) + (8)(6)(4)
Learn more about the volume of a composite figure on:
brainly.com/question/24187665
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