Problem

Use the following information. If the weights of …

Problem 6 Easy Difficulty

Use the following information. If the weights of cement bags are normally distributed with a mean of 60 lb and a standard deviation of 1 lb, use the empirical rule to find the percent of the bags that weigh the following:
Between 59 lb and 61 lb

Answer

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Intro Stats / AP Statistics

Basic Technical Mathematics with Calculus

Chapter 22

Introduction to Statistics

Section 4

Normal Distributions

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Video Transcript

Welcome to new Madrid. In the current problem we are given that X. The variable is weight off semen bags. Okay. And the units are in L. B. Now it is given that X follows a normal distribution with mean 60 MB. And sigma is supposed to from anything that means what if we had incorporated a normal curve over here then for example this so in that case this in the middle we will have 60 then one sigma distance will be one. So that will be 60 plus one, next will be 62 next will be 60 ft and here it will be 59. This meant this will be 58 this would be 15 7. Now the question we are asked that what is the probability that the and of course using empirical room. Okay, so here we are going to use her empirical rules according to which probability that X lies between meal plus sigma plus minus sigma. There will be 68% and X lying between new plus minus two sigma will be 95% and X line between new plans, Ministry sigma will be 99%. Okay, so now in this question they're asking what is it person date of bags that will weigh between 59? Yeah to 61 Right? The probability that X lies between X two 61 would be nothing but one sigma. Distin's correct because the mean if it is at 60 plus one will be 61 minus one or one sigma would be $50. So whatever we consider in terrible we are considering that is one sigma distance correct. And that shows that books this will have 68% of the data. So the probability is 68%.

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Allyn J. Washington, Richard S. Evans

Basic Technical Mathematics with Calculus

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