Chapter 6: Q. 32 (page 386)
About what percent of the x values from a normal distribution lie within two standard deviations (left and right) of the mean of that distribution?
Short Answer
Approximately of values lies within two standard deviation.
/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none}
Learning Materials
Features
Discover
Chapter 6: Q. 32 (page 386)
About what percent of the x values from a normal distribution lie within two standard deviations (left and right) of the mean of that distribution?
Approximately of values lies within two standard deviation.
All the tools & learning materials you need for study success - in one app.
Get started for free
In a normal distribution, x = 3 and z = 0.67. This tells you that x = 3 is ____ standard deviations to the ____ (right or left) of the mean.
Height and weight are two measurements used to track a child’s development. The World Health Organization measures child development by comparing the weights of children who are the same height and the same gender. In 2009, weights for all cm girls in the reference population had a mean kg and standard deviation . Weights are normally distributed. . Calculate the z-scores that correspond to the following weights and interpret them.
a. 11 kg
b. 7.9 kg
c. 12.2 kg
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet.
a. If distance in feet is for a fly ball, then
b. If one fly ball is randomly chosen from this distribution, what is the probability that this ball will travel fewer than 220 feet? Sketch the graph. Scale the horizontal axis Shade the region corresponding to the probability. Find the probability.
c. Find the percentile of the distribution of fly balls. Sketch the graph, and write the probability statement.
A The distance of fly balls hit to the outfield in baseball is denoted as:
B: The probability that a randomly selected fly ball traveled fewer than 220 feet is given by
IQ is normally distributed with a mean of and a standard deviation of . Suppose one individual is randomly chosen. Let of an individual.
a.
b. Find the probability that the person has an IQ greater than . Include a sketch of the graph, and write a probability statement
c. MENSA is an organization whose members have the top of all IQs. Find the minimum IQ needed to qualify for the MENSA organization. Sketch the graph, and write the probability statement.
d. The middle of IQs fall between what two values? Sketch the graph and write the probability statement.
What do you think about this solution?
We value your feedback to improve our textbook solutions.