Statistics for Engineers and Scientists
4th Edition
ISBN: 9780073401331
Author: William Navidi Prof.
Publisher: McGraw-Hill Education
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Chapter 9.3, Problem 6E
a.
To determine
Find all the main and interaction effects.
b.
To determine
Construct an ANOVA table and the find the
c.
To determine
Explain whether the additive model is plausible.
d.
To determine
Check whether the effects of system on production can be described by the main effects of system.
e.
To determine
Check whether the effects of scheme on production can be described by the main effects of scheme.
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Students have asked these similar questions
The article “Variance Reduction Techniques: Experimental Comparison and Analysis for Single Systems” (I. Sabuncuoglu, M. Fadiloglu, and S. Çelik, IIE Transactions, 2008:538–551) describes a study of methods for reducing variance in estimators of the mean inventory on hand. Two systems, the serial line system and the inventory system, were studied, along with two schemes for proportional sampling. The results given below (in percent) are consistent with the means and standard deviations reported in the article.
System
Scheme
Reduction
Serial Line
A
6.4
5.8
5.1
8.4
7.0
8.4
8.5
7.5
7.0
7.9
Serial Line
B
4.7
4.7
3.8
5.3
10.6
4.5
8.2
10.8
5.1
5.7
Inventory
A
11.0
8.9
9.3
9.2
7.9
9.7
9.0
12.5
6.7
9.8
Inventory
B
8.9
7.0
10.7
10.3
6.2
12.2
7.0
9.5
8.7
9.7
PLEASE USE EXCEL
Construct an ANOVA table. You may give ranges for the P-values.
2. Is the additive model…
It turns out that the survey study at the U of M sampled students from a single student residence hall. Explain why sampling students from a single residence hall would have an impact on the external validity of the study.
To compare customer satisfaction levels of two competing ice cream companies, 8 customers of Company 1 and 5 customers of Company 2 ware randomly selected and were asked to rate their ice creams on a five-point scale, with 1 being least satisfied and 5 most satisfied. The survey results are summarized in the following
Table:
Company 1
Company 2
?1=8
?2=5
̅?̅̅1̅=3.21
̅?̅̅2̅=2.22
?1= 0.31
?2= 0. 21
By assuming both equal variances and unequal variances:
Construct an interval estimate at 95°/ confidence interval for difference of means of two ice cream companies.
Chapter 9 Solutions
Statistics for Engineers and Scientists
Ch. 9.1 - A study is made of the effect of curing...Ch. 9.1 - The article Nutrient Deprivation Improves Field...Ch. 9.1 - Prob. 3ECh. 9.1 - The antibiotic gentamicin sulphate is often...Ch. 9.1 - The article influence of Age on Masonry Bond...Ch. 9.1 - Archaeologists can determine the diets of ancient...Ch. 9.1 - The article Secretion of Parathyroid Hormone...Ch. 9.1 - The article Impact of Free Calcium Oxide Content...Ch. 9.1 - A certain chemical reaction was run three times at...Ch. 9.1 - An experiment to compare the lifetimes of four...
Ch. 9.1 - Prob. 11ECh. 9.1 - Prob. 12ECh. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Refer to Exercise 12. a. Compute the quantity...Ch. 9.1 - Prob. 16ECh. 9.1 - Prob. 17ECh. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - The following MINITAB output presents a power...Ch. 9.2 - Exercises for Section 9.2 1.The article Organic...Ch. 9.2 - The article Optimum Design of an A-pillar Trim...Ch. 9.2 - Prob. 3ECh. 9.2 - Refer to Exercise 2 in Section 9.1. a.Use the...Ch. 9.2 - Refer to Exercise 13 in Section 9.1. a. Use the...Ch. 9.2 - Refer to Exercise 1 in Section 9.1. A scientist...Ch. 9.2 - Refer to Exercise 13 in Section 9.1. A...Ch. 9.2 - Refer to Exercise 3 in Section 9.1. a. Use the...Ch. 9.2 - Refer to Exercise 5 in Section 9.1. a. Use the...Ch. 9.2 - Refer to Exercise 9 in Section 9.1. a. Use the...Ch. 9.2 - Refer to Exercise 16 in Section 9.1. a. Use the...Ch. 9.2 - Refer to Exercise 18 in Section 9.1. a. Use the...Ch. 9.2 - In an experiment to determine the effect of...Ch. 9.2 - In an experiment to determine the effect of curing...Ch. 9.2 - Prob. 15ECh. 9.2 - For some data sets, the F statistic will reject...Ch. 9.3 - To assess the effect of piston ring type and oil...Ch. 9.3 - A machine shop has three machines used in...Ch. 9.3 - An experiment to determine the effect of mold...Ch. 9.3 - The effect of curing pressure on bond strength was...Ch. 9.3 - The article Change in Creep Behavior of Plexiform...Ch. 9.3 - Prob. 6ECh. 9.3 - Prob. 7ECh. 9.3 - Adding glass panicles to clay brick may improve...Ch. 9.3 - The article Application of Radial Basis Function...Ch. 9.3 - Prob. 10ECh. 9.3 - Prob. 11ECh. 9.3 - The article Anodic Fenton Treatment of Treflan MTF...Ch. 9.3 - Refer to Exercise 12. The treatments with a...Ch. 9.3 - The article Use of Taguchi Methods and Multiple...Ch. 9.3 - The article T-Bracing for Stability of Compression...Ch. 9.3 - The article referred to in Exercise 15 also...Ch. 9.3 - Prob. 17ECh. 9.3 - Prob. 18ECh. 9.3 - The article Cellulose Acetate Microspheres...Ch. 9.4 - Recycling newsprint is important in reducing...Ch. 9.4 - A study was done to see which of four machines is...Ch. 9.4 - Prob. 3ECh. 9.4 - Three different corrosion-resistant coatings are...Ch. 9.4 - The article Genotype-Environment Interactions and...Ch. 9.4 - The article Sprinkler Technologies, Soil...Ch. 9.4 - The article Bromate Surveys in French Drinking...Ch. 9.4 - The article Multi-objective Scheduling Problems:...Ch. 9.4 - You have been given the task of designing a study...Ch. 9.4 - An engineering professor wants to determine which...Ch. 9.5 - Prob. 1ECh. 9.5 - Give an example of a factorial experiment in which...Ch. 9.5 - Prob. 3ECh. 9.5 - The article Efficient Pyruvate Production by a...Ch. 9.5 - The article cited in Exercise 4 also investigated...Ch. 9.5 - A metal casting process for the production of...Ch. 9.5 - The article An Investigation into the Ball...Ch. 9.5 - In a 2p design with one replicate per treatment,...Ch. 9.5 - Prob. 9ECh. 9.5 - Prob. 10ECh. 9.5 - The article Factorial Design for Column Rotation...Ch. 9.5 - Prob. 12ECh. 9.5 - Prob. 13ECh. 9 - The article Gypsum Effect on the Aggregate Size...Ch. 9 - Prob. 2SECh. 9 - Prob. 3SECh. 9 - Prob. 4SECh. 9 - Prob. 5SECh. 9 - Prob. 6SECh. 9 - Prob. 7SECh. 9 - The article Case Study Based Instruction of DOE...Ch. 9 - The article Combined Analysis of Real-Time...Ch. 9 - Vermont maple sugar producers sponsored a testing...Ch. 9 - Prob. 11SECh. 9 - Prob. 12SECh. 9 - Prob. 13SECh. 9 - The article Enthalpies and Entropies of Transfer...Ch. 9 - Prob. 15SECh. 9 - Prob. 16SECh. 9 - The article Factorial Experiments in the...Ch. 9 - The Williamsburg Bridge is a suspension bridge...Ch. 9 - Prob. 19SECh. 9 - In the article Nitrate Contamination of Alluvial...Ch. 9 - The article Factorial Experiments in the...Ch. 9 - Prob. 22SECh. 9 - Prob. 23SECh. 9 - Prob. 24SE
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- What is meant by the sample space of an experiment?arrow_forwardA corporation is trying to decide which of three makes of automobile to order for its fleet—domestic, Japanese, or European. Five cars of each type were ordered, and, after 10,000 miles of driving, the operating cost per mile of each was assessed. The accompanying results in cents per mile were obtained. Domestic Japanese European 18.0 20.1 19.3 15.6 15.6 15.4 15.4 16.1 15.1 19.1 15.3 18.6 16.9 15.4 16.1 a. Prepare the analysis of variance table for these data. b. Test the null hypothesis that the population mean operating costs per mile are the same for these three types of car. c. Compute the minimum significant difference and indicate which subgroups have different means.arrow_forwardThe marketing manager of a large super-market chain has the business objective of using shelf space most efficiently. Toward that goal, they would like to use shelf space to predict the sales of a specialty pet food. Data are collected from a random sample of 12 equal-sized store, with the following results: Shelf Space Sales Aisle Location 5 160 0 5 220 1 5 140 0 10 190 0 10 240 0 10 260 1 15 230 0 15 270 0 15 280 1 20 260 0 20 290 0 20 310 1 For these data, Syx = 30.8058436 and hi = 0.1373333 when X = 8. *Round final answers below to three decimal places. Do not round calculations until the final answer. (a) Construct a 95% confidence interval estimate of the mean weekly sales for all stores that have 8 square feet of shelf space for pet food. (b) Construct a 95% prediction interval of the weekly sales of an individual store that has 8 square feet of shelf…arrow_forward
- A researcher is interested in investigating the effects of Race on Reading scores. (b) Report the sample means and variances of the reading scores for each of the race groups. Specify which of these sample values would be compared to evaluate the homogeneity of variance assumption race: 1 - hispanic, 2 - asian, 3 - black, 4 - white race RDG 1 34 1 47 1 42 1 39 1 36 1 50 1 63 1 44 1 47 1 44 1 50 1 44 1 47 1 42 1 42 1 47 1 60 1 39 1 57 1 73 1 47 1 39 1 35 1 39 1 48 1 31 1 52 1 47 1 36 1 47 1 34 1 52 1 42 1 37 1 44 1 71 1 47 1 42 1 42 1 47 1 52 1 52 1 39 1 31 1 60 1 47 1 39 1 42 1 47 1 42 1 36 1 50 1 34 1 55 1 28 1 42 1 44 1 60 1 39 1 36 1 44 1 39 1 39 1 42 1 42 2 52 2 65 2 42 2 47 2 52 2 44 2 52 2 47 2 65 2 63 2 60 2 47 2 65 2 53 2 68 2 55 2 39 2 52 2 65 2 52 2 57 2 63 2 41 2 57 2 36 2 55 2 50 2 63…arrow_forwardConsider the following set of samples obtained from two normally distributed populations whose variances are equal: Sample 1: 11.2 11.2 7.4 8.7 8.5 13.5 4.5 11.9 Sample 2: 11.7 9.5 15.6 16.5 11.3 17.6 17.0 8.5 A) Suppose that the samples were independent. Perform a test of hypothesis to determine if there is a difference in the two population means. Use a significance level of 0.05.arrow_forwardTo compare customer satisfaction levels of two competing ice cream companies, 8customers of Company 1 and 5 customers of Company 2 ware randomly selectedand were asked to rate their ice creams on a five-point scale, with 1 being leastsatisfied and 5 most satisfied. The survey results are summarized in the followingtable:Company 1 Company 2?1=8 ?2=5?1̅̅̅̅=3.21 ?2̅̅̅̅=2.22?1= 0.31 ?2= 0. 21By assuming both equal variances and unequal variances:a. Construct an interval estimate at 95°/ confidence interval for difference of means of two ice cream companies.arrow_forward
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