Chapter 6: Q.11 (page 385)
What is the z-score of x=, if it is two standard deviations to the right of the mean?
Short Answer
The value of the z score will be
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Chapter 6: Q.11 (page 385)
What is the z-score of x=, if it is two standard deviations to the right of the mean?
The value of the z score will be
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According to a study done by De Anza students, the height for Asian adult males is normally distributed with an average of inches and a standard deviation of inches. Suppose one Asian adult male is randomly chosen. Let X = height of the individual.
a.
b. Find the probability that the person is between and inches. Include a sketch of the graph, and write a probability statement.
c. Would you expect to meet many Asian adult males over 72 inches? Explain why or why not, and justify your answer numerically.
About what percent of values lie between the mean and three standard deviations?
Suppose . Between what values does of the data lie?
Suppose X ~ N(4, 2). What value of x is 1.5 standard deviations to the left of the mean?
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.
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