Chapter 6: Q.6.58 (page 268)
The area under the standard normal curve that lies to the left of a -score is always strictly between ------ and ------.
The area under the normal curve lying to the left of a specified -score is always strictly between and .
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Express theth percentile, , of a normally distributed variable in terms of its mean, , and standard deviation, .
In each part, find the area under the standard normal curve that lies between the specified -scores, sketch a standard normal curve and shade the area of interest.
a. and
b. and
c. and
The total area under the following standard normal curve is divided into eight regions.
a. Determine the area of each region.
b. Complete the following table.
31. Mortgage Industry Employees. In an issue of National Mortgage News, a special report was published on publicly traded mortgage industry companies. A sample of mortgage industry companies had the following numbers of employees.
a. Obtain a normal probability plot of the data.
b. Use part (a) to identify any outliers.
c. Use part (a) to assess the normality of the variable under consideration.
The percentage of all possible observations of a variable that lie between 25 and 50 equals the area under its density curve between___ and ___expressed as a percentage.
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