Exit slip
Mean weight for 19 year old males in the U.S. are around 172 lbs with a standard deviation of 11 lbs.
Mean weight for 19 year old females in the U.S. are around 148 lbs with a standard deviation of 12 lbs.
Is it more unusual for a male to weigh 250 lbs or a female to weigh 100 lbs?
Problem of the Day
Beanstalk Clubs are social clubs for tall people. Men must be over 6’2” and women must be over 5’10”. Naonal Health surveys show men’s heights are normally distributed with a mean of 69.1 inches and a standard deviaon of 2.8 inches. Women’s heights are normally distributed with a mean of 64 inches and a standard deviaon of 2.5 inches.
Who are more likely to qualify for the Beanstalk Club, men or women? Why?
Construct a normal model using the 68­95­99.7 Rule for ACT scores at a certain college, N(21.2, 4.4)
From Percentiles to Scores
Given the ACT scores with N(20.8,4.8) what score corresponds to the 25th percentile? 90th percentile?
From Percentiles to Scores
Given the ACT scores with N(20.8,4.8) what score corresponds to the highest 5%?
A concerned cizen who lives in a 20 mph zone recorded the speeds of 100 drivers going past his house. He found a normal distribuon with a mean of 23.84 mph and a standard deviaon of 3.56 mph. What percent of drivers were under the speed limit? Is it more unusual for a car to be going 10 mph or 34 mph? Why? Convert the mph to km(mulply by 1.609). What is the new mean and standard deviaon?
Suppose local law enforcement has an unwrien rule to give ckets to people speeding through a 20mph zone if they are going 28 mph or above. What percent of people are geng a cket?
IQ scores are approximately normal with a mean of 100 and standard deviaon of 16. Draw the model for IQ scores, making sure to label your 68‐95‐99.7 intervals.
What percent of people have IQ scores above 132?
What percent of people have IQ scores below 152?
MENSA(a nerdy organizaon for geniuses) allows membership to people in the 99th percenle. What is the lowest IQ score they allow?
What score corresponds to the 30th percenle?
Given Male weights with N(170 lbs, 19.8 lbs), find the following.
What weight corresponds to the 25th percenle?
What weight corresponds to the 90th percenle?
What percent of males are overweight(weight over 230lbs)?
In a normally distributed sample of 250 males, how many will weigh less than 150 lbs?