Introduction to Statistics and Data Analysis
Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305115347
Author: Roxy Peck; Chris Olsen; Jay L. Devore
Publisher: Brooks Cole
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Chapter 1.4, Problem 12E

Classify each of the following variables as either categorical or numerical. For those that are numerical, determine whether they are discrete or continuous.

  1. a. Number of students in a class of 35 who turn in a term paper before the due date
  2. b. Gender of the next baby born at a particular hospital
  3. c. Amount of fluid (in ounces) dispensed by a machine used to fill bottles with soda pop
  4. d. Thickness of the gelatin coating of a vitamin E capsule
  5. e. Birth order classification (only child, firstborn, middle child, lastborn) of a math major
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The battery temperatures are a major concern for us. Can you analyze and describe the sample data? What are the average and median temperatures? How much variability is there in the temperatures? Is there anything that stands out? Our engineers’ assumption is that the temperature data is normally distributed. If that is the case, what would be the likelihood that the Safety Zone temperature will exceed 5.15 degrees? What is the probability that the Safety Zone temperature will be less than 4.65 degrees? What is the actual percentage of samples that exceed 5.25 degrees or are less than 4.75 degrees? Is the manufacturing process producing units with stable Safety Zone temperatures? Can you check if there are any apparent changes in the temperature pattern? Are there any outliers? A closer look at the Z-scores should help you in this regard.

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