Essentials Of Statistics
Essentials Of Statistics
4th Edition
ISBN: 9781305093836
Author: HEALEY, Joseph F.
Publisher: Cengage Learning,
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Chapter P, Problem 2E

Exercises

You can use the following problems as a self-test on the material presented in this review. If you can handle these problems, you’re ready to do all of the arithmetic in this text. If you have difficulty with any of these problems, please review the appropriate section of this prologue. You might also want to use this section as an opportunity to become more familiar with your calculator. The answers are given immediately following these exercises, along with commentary and some reminders.

For the set of scores ( X i ) of 50, 55, 60, 65, and 70, evaluate each of the following expressions:

X i =

X i 2 =

( X i ) 2 =

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A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected. a) Calculate the percentage of components that get rejected. b) In a manufacturing run of 1000 units, how many are expected to be rejected? c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.
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