×
×

# Let the ordered sample observations be denoted byy1, y2, ,

ISBN: 9781305251809 122

## Solution for problem 96 Chapter 4.6

Probability and Statistics for Engineering and the Sciences | 9th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Probability and Statistics for Engineering and the Sciences | 9th Edition

4 5 1 280 Reviews
11
3
Problem 96

Let the ordered sample observations be denoted byy1, y2, , yn (y1 being the smallest and yn the largest). Oursuggested check for normality is to plot the(F21((i 2 .5)yn), yi) pairs. Suppose we believe that theobservations come from a distribution with mean 0, and letw1,, wn be the ordered absolute values of the xi9s.Ahalfnormal plot is a probability plot of the wi9s. Morespecifically,since P(uZu # w) 5 P(2w # Z # w) 52F(w) 2 1, a half-normal plot is a plot of the(F21y{[(i 2 .5)yn 1 1]y2}, wi) pairs. The virtue of thisplot is that small or large outliers in the original sample willnow appear only at the upper end of the plot rather than at bothends. Construct a half-normal plot for the following sample ofmeasurement errors, and comment: 23.78, 21.27, 1.44,2.39, 12.38, 243.40, 1.15, 23.96, 22.34, 30.84

Step-by-Step Solution:
Step 1 of 3

The Coefficient of Variation: C.V. = S / x(bar) X(bar)  Mean of data Examples: #1 X(bar)  54 ft S  26 ft C.V. = S / x(bar) = 26/54 = .48 or 48% #2 X(bar)  2 hours S  2.7 hours C.V. = 2.7 / 2 = 1.35 NOTICE: the units cancel when you divide the two numbers, therefore the answer does not have units!! Chebyster’s Theorem: For any set of numbers with mean x(bar) and standard...

Step 2 of 3

Step 3 of 3

##### ISBN: 9781305251809

The full step-by-step solution to problem: 96 from chapter: 4.6 was answered by , our top Statistics solution expert on 11/08/17, 04:06AM. This textbook survival guide was created for the textbook: Probability and Statistics for Engineering and the Sciences, edition: 9. This full solution covers the following key subjects: . This expansive textbook survival guide covers 88 chapters, and 2432 solutions. Since the solution to 96 from 4.6 chapter was answered, more than 226 students have viewed the full step-by-step answer. The answer to “Let the ordered sample observations be denoted byy1, y2, , yn (y1 being the smallest and yn the largest). Oursuggested check for normality is to plot the(F21((i 2 .5)yn), yi) pairs. Suppose we believe that theobservations come from a distribution with mean 0, and letw1,, wn be the ordered absolute values of the xi9s.Ahalfnormal plot is a probability plot of the wi9s. Morespecifically,since P(uZu # w) 5 P(2w # Z # w) 52F(w) 2 1, a half-normal plot is a plot of the(F21y{[(i 2 .5)yn 1 1]y2}, wi) pairs. The virtue of thisplot is that small or large outliers in the original sample willnow appear only at the upper end of the plot rather than at bothends. Construct a half-normal plot for the following sample ofmeasurement errors, and comment: 23.78, 21.27, 1.44,2.39, 12.38, 243.40, 1.15, 23.96, 22.34, 30.84” is broken down into a number of easy to follow steps, and 138 words. Probability and Statistics for Engineering and the Sciences was written by and is associated to the ISBN: 9781305251809.

#### Related chapters

Unlock Textbook Solution