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A random ample of 18 ize AA batterie for toy yield a mean of 2. 76 hour with tandard deviation, 1. 03 hour. (a) Find the critical value, t*, for a 99% CI. T* =

(b) Find the margin of error for a 99% CI

Sagot :

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Therefore the solution of this problem is a)critic value t = 2.8982 b)margin of error=  2.985146

What is standard deviation?

In statistics, the standard deviation measures how widely distributed or how much a set of values might vary. In contrast to a high standard deviation, which indicates that values are widely dispersed, a low standard deviation indicates that values are typically close to the set's mean.

Here ,

where s is the sample's standard deviation

Finding the number of degrees of freedom is the first step in solving this problem. The sample size has been reduced by 1.

So

df = 18 - 1 = 17

99% confidence interval

We must now determine the value of T, which can be done by consulting the t table, which has 17 degrees of freedom (on the y-axis) and a confidence level of).

[tex]1 - \frac{1-0.99}{2} =0.995[/tex]

So we have T = 2.8982.

The margin of error is:

M = T*s = 2.8982*1.03 = 2.985146

To know more about Standard deviation , visit

https://brainly.com/question/13905583

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