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Use the following data. It has been previously established that for a certain type of AA battery (when newly produced), the voltages are distributed normally with $\mu=1.50 \mathrm{V}$ and $\sigma=0.05 \mathrm{V}$.

According to the empirical rule, what percent of the batteries have voltages between 1.45 V and 1.55 V?

Intro Stats / AP Statistics

Chapter 22

Introduction to Statistics

Section 4

Normal Distributions

Descriptive Statistics

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08:49

(II) Determine the magnitu…

03:57

(II) Suppose two batteries…

05:32

Consider the circuit shown…

01:04

A variable DC battery is c…

17:23

03:20

Determine (a) the equivale…

04:44

In Fig. $25.28,$ take all …

05:40

(III) $(a)$ Determine the …

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07:57

(III) ($a$) Determine the …

Welcome to new Madrid in the current problem we are given that the name of a certain type of life bang oh E batteries is a variable and under consideration over here and uh, can claim is considered and the variable and under consideration is that's the whole pages of those deputies what we wanted this off the Latins no x is for distributed with normal, I mean is it goes to 1.50 cold and sigma is equal to zero point 05 boots. Okay. Therefore the values of The standard distribution would be over here, 1.5 And one sigma distance will be 1.55 two. Sigma will be one point 60 And then 1.65. And the same with this side, it will be 1.45, 1.4, 1.3 Files. Now we have to find what percent of the batteries We have uh between 1.45, 1.56. Now, if you see 1.45, is one sigma limit, right? This is plus new, plus sigma, and this is a mule minus sigma. And that Interval contains 68% of the data. Therefore 68% of the entire data will be having voltages between 1.45-1.55.

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