💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

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

Intro Stats / AP Statistics

Chapter 22

Introduction to Statistics

Section 4

Normal Distributions

Descriptive Statistics

Temple University

University of St. Thomas

Boston College

Lectures

0:00

08:01

Using the empirical rule, …

10:13

Find the variance and stan…

01:35

Suppose the data have a be…

05:23

A machine fills containers…

04:43

04:57

05:01

01:09

Find the mean and the stan…

01:21

Find the mean and standard…

01:38

01:22

The given values represent…

05:50

03:53

A set of 250 data values i…

02:21

Ten male Harvard students …

01:18

A set of data has a normal…

01:00

04:02

Use a computer or calculat…

07:42

04:35

Find the mean, variance, a…

06:16

An experiment was designed…

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%.

View More Answers From This Book

Find Another Textbook

Numerade Educator

Using the empirical rule, determine the approximate percentage of a normal d…

Find the variance and standard deviation of each set of data to the nearest …

Suppose the data have a bell-shaped distribution with a mean of 30 and a sta…

A machine fills containers with a mean weight per container of 16.0 oz. If n…

Find the mean and the standard deviation for each data set.$$1 \math…

Find the mean and standard deviation for the binomial random variable $x$ wi…

A machine fills containers with a particular product. The standard deviation…

The given values represent data for a population. Find the variance and the …

A set of 250 data values is normally distributed with a mean of 50 and a sta…

Ten male Harvard students were weighed in $1916 .$ Their weights are given h…

A set of data has a normal distribution with a mean of 50 and a standard dev…

The given values represent data for a sample. Find the variance and the stan…

Use a computer or calculator to complete the hypothesis test with alternativ…

Find the mean, variance, and standard deviation foreach of the values of…

An experiment was designed to estimate the mean difference in weight gain fo…