Central Limit Theorem
The average GPA at a particular school is 2.89 with a standard deviation .63. A random sample of 25 students is collected. Find the standard error of your sample.
What is .126
What is .9331
If np and nq are greater than or equal to _____then a binomial random variable is approximately normal.
What is 5
Factor x2 - 49
According to a recent study, the average age that an American adult leaves home is 26 years old. Assume that this variable is nomally distrubuted with a standard deviation of 2.4 years. If a random sample of 20 adults is selected, find the probability that the mean age the participants left home is greater than 25 years old to the nearest tenth.
What is .9632
A set of 5000 scores on a college readiness exam are known to be normally distributed with a mean of 72 and standard deviation of 6. To the nearest integer value, how many scores are there between 63 and 75?
What is approx. 3123 scores
If we approximate a binomial distribution with the normal distribution, the formula for the mean is
What is np
The leading coefficient of the following polynomial:
2x2+3x -7x4-8
What is -7
The average number of tornadoes in Kansas is 47 per year, with a standard deviation of approximately 14.2 tornadoes. If a random sample of 15 years is selected, find the probability that the mean number of tormadoes is less than 50 to the nearest tenth.
What is .7934
A manufacturer of TV sets found that for the sets he produces, the lengths of time until the first repair can be described using a normal model with a mean of 4.5 years and a standard deviation of 1.5 years. If the manufacturer sets the warranty so that only 10.2% of the 1st repairs are covered by the warranty, how long should the warranty last?
x=2.595 so approx. 2.6 years
If we approximate a binomial distribution with the normal distribution, the formula for the variance is
npq
What is the domain of (x-3)/(x-2)
What is x can not = 2
A set of SAT scores are normally distributed with a mean of 1518 and a standard devuiation of 325. Find the probability that if a sample of 100 scores were selected, their mean would be less than 1500.
What is 29%?
Based on data from the National Health and Nutrition Examinations Survey, assume that weights of men are normally distributed with a mean of 172lb and a standard deviation of 29lb. Find the probability that a man will be greater than 180lbs.
What is 39%
For women aged 18-24, systolic blood pressures are normally distibuted with a mean of 114.8 and a standard devitaion of 13.1. Hypertension is commonly definded as a systolic blood pressure above 140. If a woman between the ages of 18 and 24 is randomly selected, find the probability that her systolic blood pressure is greater than 140.
.0272
Factor (x3-8)
What is (x-2)(x2+2x+4)
Based on data from the National Health and Nutrition Examinations Survey, assume that weights of men are normally distributed with a mean of 172lb and a standard deviation of 29lb. Find the probability that 20 randomly selected men will have a mean weight that is greater than 180lbs.
What is 10.9%.
The Boeing 757-200 ER airliner carries 200 passengers and has doors with a height of 72". Heights of men are normally distributed with a mean of 69.0" and a standard deviation of 2.8". If a male passenger is randomly selected, find the probabity that he can fit through the doorway without bending rounded to the nearest tenth.
85.8%
The Boeing 757-200 ER airliner carries 200 passengers and has doors with a height of 72". Heights of men are normally distributed with a mean of 69.0" and a standard deviation of 2.8". If half of the passengers are men, find the probability that the mean height of the 100 men is less than 72".
99.9%
What is the horizontal asymptote of (2x+3)/(6x+7)
What is y=1/3