Statistics for Business and Economics (13th Edition)
13th Edition
ISBN: 9780134506593
Author: James T. McClave, P. George Benson, Terry Sincich
Publisher: PEARSON
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Chapter 9.4, Problem 9.63ACA
Anticorrosive behavior of steel coated with epoxy. Organic coatings that use epoxy resins are widely used for protecting steel and metal against weathering and corrosion. Researchers at National Technical University (Athens. Greece) examined the steel anticorrosive behavior of different epoxy coatings formulated with zinc pigments in an attempt to find the epoxy coating with the best corrosion inhibition (Pigment & Resin Technology, Vo. 32, 2003). The experimental units were flat rectangular panels cut from steel sheets. Each panel was coated with one of four different coating systems. S1, S2, S3, and S4. Three panels were prepared for each coating system. (These panels are labeled S1-A, S1-B, S1-C. S2-A, S2-B.....S4-C.) The characteristics of the four coating systems are listed at the bottom of the page. Each coated panel was immersed in deionized and deaerated water and then tested for corrosion. Because exposure time is likely to have a strong influence on anticorrosive behavior the researchers attempted to remove this extraneous source of variation through the experimental design. Exposure times were fixed at 24 hours, 60 days, and 120 days. For each of the coating systems, one panel was exposed to water for 24 hours, one exposed to water for 60 days, and one exposed to water for 120 days in random order. The design is illustrated in :he accompanying table.
| Exposure Time | Coating System/Panel Exposed |
| 24 hours | S1-A, S2-C, S3-C, S4-B |
| 60 days | S1-C, S2-A, S3-B, S4-A |
| 120 days | S1-B, S2-B, S3-A, S4-C |
Following exposure, the corrosion rate (nanoamperes per square centimeter) was determined for each panel. The lower the corrosion rate, the greater the anticorrosion performance of the coating system. The data are shown in the next table. Are there differences among the epoxy treatment
Coating systems characteristics for Exercise 9.63
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An industrial-organizational psychologist believes that implementing a 2-hour lunch break at US companies will have an effect on employee productivity. On a productivity scale from 1 to 15, the average productivity score for all companies in the US is 8 (u = 8.00, ỡ = 4.00). The IO psychologist randomly samples 5 companies and has the companies implement a 2-hour lunch break for 1 month.
At the end of the month, the lO psychologist measures the productivity scores for the five companies and obtains the following scores:
9, 14, 10, 12, 15
Using the appropriate hypothesis test and the six steps of hypothesis testing, determine what the 10 psychologist should conclude about the effect of a 2-hour lunch break on employee productivity.
1) write out the null and alternative hypotheses
2) Use an online calculator to calculate the exact p-value
An industrial-organizational psychologist believes that implementing a 2-hour lunch break at US companies will have an effect on employee productivity. On a productivity scale from 1 to 15, the average productivity score for all companies in the US is 8 (u = 8.00, ỡ = 4.00). The IO psychologist randomly samples 5 companies and has the companies implement a 2-hour lunch break for 1 month.
At the end of the month, the lO psychologist measures the productivity scores for the five companies and obtains the following scores:
9, 14, 10, 12, 15
Using the appropriate hypothesis test and the six steps of hypothesis testing, determine what the 10 psychologist should conclude about the effect of a 2-hour lunch break on employee productivity.
1. What is the appropriate test to use ?
2. List the test's assumptions .You do NOT have to test the assumptions.
3. What are the null and alternative hypotheses ?
4. Construct a sampling distribution of means representing the null hypothesis.
Specify the…
Chapter 9 Solutions
Statistics for Business and Economics (13th Edition)
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