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The “cold start ignition time” of an automobile engine is

Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger ISBN: 9781118539712 55

Solution for problem 69E Chapter 6.4

Applied Statistics and Probability for Engineers | 6th Edition

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Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger

Applied Statistics and Probability for Engineers | 6th Edition

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Problem 69E

Problem 69E

The “cold start ignition time” of an automobile engine is being investigated by a gasoline manufacturer. The following times (in seconds) were obtained for a test vehicle: 1.75, 1.92, 2.62, 2.35, 3.09, 3.15, 2.53, 1.91.

(a) Calculate the sample mean, sample variance, and sample standard deviation.

(b) Construct a box plot of the data.

Step-by-Step Solution:

Answer

Step 1 of 2

(a)

The following times (in seconds) were obtained for a test vehicle:

We are asked to find the sample mean, sample variance and standard deviation.

If the  observations in a sample are denoted by  the sample mean is,

……..(1)

Let   be the cold start ignition time ( in seconds)

The number of measurements is

The sample variance,

……….(2)

We can rewrite equation (2) as,

[ from the data]

Hence the sample mean, sample standard deviation and sample variance of the cold start ignition time are  respectively.


Step 2 of 2

Chapter 6.4, Problem 69E is Solved
Textbook: Applied Statistics and Probability for Engineers
Edition: 6
Author: Douglas C. Montgomery, George C. Runger
ISBN: 9781118539712

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The “cold start ignition time” of an automobile engine is