Chapter 6: Q. 6.76 (page 269)
Obtain the score that has an area to its right.
Short Answer
The score under the usual normal curve with the area to its right is around
Chapter 6: Q. 6.76 (page 269)
Obtain the score that has an area to its right.
The score under the usual normal curve with the area to its right is around
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Get started for freeA variable is normally distributed with a mean and standard deviation . Find the percentage of all possible values of the variable that
a. lie between and .
h. are at least .
c. are at most .
Explain in detail what a normal probability plot is and how it is used to assess the normality of a variable.
College-Math Success. Researchers S. Lesik and M. Mitchell explore the difficulty of predicting success in college-level mathematics in the article "The Investigation of Multiple Paths to Success in College-Level Mathematics" (fraternal of Applied Reacuwh in Hreher Eiturarion, Vol. 5. Issue 1. pP, 48-57). One of the variables explored as an indicator of success was the length of time since a college freshman has taken a mathematics course. The article reports that the mean length of time is 0.18 years with a standard deviation of 0.624 years. For college freshmen, let x represent the time, in years, since taking a math course.
A . What percentage of times are at least 0 years?
b. Assuming that x is approximately normally distributed, tose normal curve areas to determine the approximate percentage of times that are at least 0 years.
c. Based on your results from parts (a) and (b), do you think that the length of time since taking a math course for college freshmen is approximately a normally distributed variable? Explain your answer.
How is a normal probability plot used to detect outliers?
In 1902, W. R. Macdonell published the article "On Criminal Anthropometry and the Identification of Criminals" (Biometrika, Vol. 1. Pp. 177-227). Among other things. the author presented data on the left middle finger length, in centimeters. The following table provides the midpoints and frequencies of the finger-length classes used.
Use these data and the technology of your choice to assess the normality of middle finger length of criminals by using
a. a histogram.
b. a normal probability plot.
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