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3.34 Making tablets. A pharmaceutical granular material that contains the ac kilograms (kg) applied to the tablets The process specifications call for ap- (a) What percent of tablets are sub (b) The manufacturer adjusts the the specifications, µ = 11.7 kg E percent now meet the specific:

3.34 Making tablets. A pharmaceutical granular material that contains the ac kilograms (kg) applied to the tablets The process specifications call for ap- (a) What percent of tablets are sub (b) The manufacturer adjusts the the specifications, µ = 11.7 kg E percent now meet the specific:

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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I need help with 3.34 and 3.36 and 3.38 it all uses the miles per gallon in 3.34

eak at 0 on the horizontal axis but ons in a distribution. To illustrate th e that it is areas under a density cun 3.33 A milling machine. Automated manufacturing ope often with distributions that are close to Normal. The width in inches of slots vary, cut by a milling machine follows approximately the N(0.8750, 0.0012) distribution. The specifications allow slot widths between 0.8720 and 0.8780 inch. What propor- tion of slots meet these specifications? xis without a high peak at 1. mildly obese are less active than le umber of minutes per day that pe obese people, minutes of activity vare nutes of activity for lean people had as do the active minutes for 95% of t .7 rule. 3.34 Making tablets. A pharmaceutical manufacturer forms tablets by compressing a granular material that contains the active ingredient and various fillers. The force in kilograms (kg) applied to the tablets varies a bit, with the N(11.5, 0.2) distribution. The process specifications call for applying a force between 11.2 and 12.2 kg. opl (a) What percent of tablets are subject to a force that meets the specifications? (b) The manufacturer adjusts the process so that the mean force is at the center of the specifications, µ = 11.7 kg. The standard deviation remains 0.2 kg. What percent now meet the specifications? nsler Adult Intelligence Scale (WAS and standard deviation 15. People wi lly retarded when, for example, applin ding to the 68-95-99.7 rule, about wha on? Miles per gallon. In its Fuel Economy Guide for 2008 model vehicles, the Environmental Protection Agemcy gives data on 1152 vehicles. There are a number of outliers, mainly vehicles with very poor gas mileage. If we ignore the outliers, however, the combined city and highway gas mileage of the other 1120 or so vehicles is approximately Normal with mean 18.7 miles per gallon (mpg) and standard deviation 4..3 mpg, Exercises 3.35 to 3.38 concern this distribution. Metalpix/Alamy nd the proportion of observations from ach of the following regions. In each ca the area representing the region. -1.77 (d) -2.25 < z < 1.77 3.35 In my Chevrolet. The 2008 Chevrolet Malibu with a four-cylinder engine has com- bined gas mileage 25 mpg. What percent of all vehicles have worse gas mileage than the Malibu? portion of observations that are lesth is 0.8. 3.36 The top 10%. How high must a 2008 vehicle's gas mileage be in order to fall in the top 10% of all vehicles? (The distribution omits a few high outliers, mainly hybrid gas-electric vehicles.) 3.37 The middle half. The quartiles of any distribution are the values with cumulative proportions 0.25 and 0.75. They span the middle half of the distribution. What are the quartiles of the distribution of gas mileage? f all observations from a standard No Iniversity of Illinois
Transcribed Image Text:eak at 0 on the horizontal axis but ons in a distribution. To illustrate th e that it is areas under a density cun 3.33 A milling machine. Automated manufacturing ope often with distributions that are close to Normal. The width in inches of slots vary, cut by a milling machine follows approximately the N(0.8750, 0.0012) distribution. The specifications allow slot widths between 0.8720 and 0.8780 inch. What propor- tion of slots meet these specifications? xis without a high peak at 1. mildly obese are less active than le umber of minutes per day that pe obese people, minutes of activity vare nutes of activity for lean people had as do the active minutes for 95% of t .7 rule. 3.34 Making tablets. A pharmaceutical manufacturer forms tablets by compressing a granular material that contains the active ingredient and various fillers. The force in kilograms (kg) applied to the tablets varies a bit, with the N(11.5, 0.2) distribution. The process specifications call for applying a force between 11.2 and 12.2 kg. opl (a) What percent of tablets are subject to a force that meets the specifications? (b) The manufacturer adjusts the process so that the mean force is at the center of the specifications, µ = 11.7 kg. The standard deviation remains 0.2 kg. What percent now meet the specifications? nsler Adult Intelligence Scale (WAS and standard deviation 15. People wi lly retarded when, for example, applin ding to the 68-95-99.7 rule, about wha on? Miles per gallon. In its Fuel Economy Guide for 2008 model vehicles, the Environmental Protection Agemcy gives data on 1152 vehicles. There are a number of outliers, mainly vehicles with very poor gas mileage. If we ignore the outliers, however, the combined city and highway gas mileage of the other 1120 or so vehicles is approximately Normal with mean 18.7 miles per gallon (mpg) and standard deviation 4..3 mpg, Exercises 3.35 to 3.38 concern this distribution. Metalpix/Alamy nd the proportion of observations from ach of the following regions. In each ca the area representing the region. -1.77 (d) -2.25 < z < 1.77 3.35 In my Chevrolet. The 2008 Chevrolet Malibu with a four-cylinder engine has com- bined gas mileage 25 mpg. What percent of all vehicles have worse gas mileage than the Malibu? portion of observations that are lesth is 0.8. 3.36 The top 10%. How high must a 2008 vehicle's gas mileage be in order to fall in the top 10% of all vehicles? (The distribution omits a few high outliers, mainly hybrid gas-electric vehicles.) 3.37 The middle half. The quartiles of any distribution are the values with cumulative proportions 0.25 and 0.75. They span the middle half of the distribution. What are the quartiles of the distribution of gas mileage? f all observations from a standard No Iniversity of Illinois
STRAWBERRY PEACH MINT CHAPTER 3 The Normal Distributions 3.38 Quintiles. The quintiles of any distribution are the values with cumulative propor- tions 0.20, 0.40, 0.60, and 0.80. What are the quintiles of the distribution of gas mileage? below the mean for similar in age and se 3.39 What's your percentite? Reports on a student's ACT or SAT usually give the per- centile as well as the actual score. The percentile is just the cumulative proportion stated as a percent: the percent of all scores that were lower than this one. In 2007, composite ACT scores were close to Normal with mean 21.2 and standard deviation 5.0.7 Jacob scored 16. What was his percentile? (a) What percent (b) Women aged 7 is about -2 or deviation is th 3.40 Perfect SAT scores. It is possible to score higher than 1600 on the SAT, but scores 1600 and above are reported as 1600. In 2007 the distribution of SAT scores (combining mathematics and reading) was close to Normol have osteopor In later chapters we are "close CC stondo
Transcribed Image Text:STRAWBERRY PEACH MINT CHAPTER 3 The Normal Distributions 3.38 Quintiles. The quintiles of any distribution are the values with cumulative propor- tions 0.20, 0.40, 0.60, and 0.80. What are the quintiles of the distribution of gas mileage? below the mean for similar in age and se 3.39 What's your percentite? Reports on a student's ACT or SAT usually give the per- centile as well as the actual score. The percentile is just the cumulative proportion stated as a percent: the percent of all scores that were lower than this one. In 2007, composite ACT scores were close to Normal with mean 21.2 and standard deviation 5.0.7 Jacob scored 16. What was his percentile? (a) What percent (b) Women aged 7 is about -2 or deviation is th 3.40 Perfect SAT scores. It is possible to score higher than 1600 on the SAT, but scores 1600 and above are reported as 1600. In 2007 the distribution of SAT scores (combining mathematics and reading) was close to Normol have osteopor In later chapters we are "close CC stondo
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