Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 11.4, Problem 42E
To determine
Construct the ANOVA table and test all the hypotheses using 1% level of significance.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
One operation of a mill is to cut pieces of steel into parts that will later be used as the frame for front seats in an automobile. The steel is cut with a diamond saw and requires the resulting parts to be
within 10.005 inch of the length specified by the automobile company. Data are collected from a sample of 50 steel parts and are shown in the following table. The measurement reported is the
difference in inches between the actual length of the steel part, as measured by a laser measurement device, and the specified length of the steel part. For example, the first value, -0.003,
represents a steel part that is 0.003 inch shorter than the specified length. Complete parts a through c
Click the icon to view the data table.
a. Construct a frequency distribution
Difference in Length
-0.005 but less than -0.003:
-0.003but less than -0.001
-0.001but less than 0.001
0.001but less than 0.003
0.003but less than 0.005
Frequency
Difference Between Actual and Specified Lengths
0.002
0
-0.003…
An article in the ACI Materials Journal (Vol. 84, 1987, pp. 213-216) describes several experiments investigating the rodding of concrete to
remove trapped air. A 3-inch x 6-inch cylinder was used, and the number of times this rod was used is the design variable. The resulting
compressive strength of the concrete specimen is the response. The data are shown in the following table.
...
Compressive Strength (psi)
Rodding Level
Observations
10
1530
1530
1440
15
1610
1650
1500
20
1560
1730
1530
25
1500
1490
1510
Calculate the test statistic fo.
Input answer up to 2 decimal places.
Test Statisticf =1.68
Blank 1
1.68
The article refered to in Exercise 1 also considered the effect of gypsum on the electric
conductivity (in dS m) of soil. Two types of soil were each treated with three different
amounts of gypsum, with two replicates for each soil-gypsum combination. The data are
presented in the following table.
Soil Type
Gypsum (g/kg)
Las Animas
Madera
0.00
1.52
1.05
1.01
0.92
0.27
1.49
0.91
1.12
0.92
0.46
0.9
0.92
0.88
0.92
Is there convincing evidence of an interaction between the amount of gypsum and soil
type?
Can you conclude that the conductivity differs among the soil types?
Can you conclude that the conductivity differs with the amount of gypsum added?
C.
Chapter 11 Solutions
Probability and Statistics for Engineering and the Sciences
Ch. 11.1 - An experiment was carried out to investigate the...Ch. 11.1 - Four different coatings are being considered for...Ch. 11.1 - Prob. 3ECh. 11.1 - In an experiment to see whether the amount of...Ch. 11.1 - In an experiment to assess the effect of the angle...Ch. 11.1 - A particular county employs three assessors who...Ch. 11.1 - Prob. 7ECh. 11.1 - The paper Exercise Thermoregulation and...Ch. 11.1 - The article The Effects of a Pneumatic Stool and a...Ch. 11.1 - Prob. 10E
Ch. 11.1 - Prob. 11ECh. 11.1 - Prob. 12ECh. 11.1 - Prob. 13ECh. 11.1 - Prob. 14ECh. 11.1 - The power curves of Figures 10.5 and 10.6 can be...Ch. 11.2 - In an experiment to assess the effects of curing...Ch. 11.2 - Prob. 17ECh. 11.2 - The accompanying data resulted from an experiment...Ch. 11.2 - A two-way ANOVA was carried out to assess the...Ch. 11.2 - The article Fatigue Limits of Enamel Bonds with...Ch. 11.2 - In an experiment to investigate the effect of...Ch. 11.2 - Prob. 22ECh. 11.2 - Prob. 23ECh. 11.2 - Prob. 24ECh. 11.2 - Prob. 25ECh. 11.2 - Prob. 26ECh. 11.3 - The output of a continuous extruding machine that...Ch. 11.3 - Prob. 28ECh. 11.3 - Prob. 29ECh. 11.3 - Prob. 30ECh. 11.3 - Nickel titanium (NiTi) shape memory alloy (SMA)...Ch. 11.3 - Prob. 32ECh. 11.3 - Prob. 33ECh. 11.3 - The article The Responsiveness of Food Sales to...Ch. 11.3 - Prob. 35ECh. 11.3 - Prob. 36ECh. 11.3 - Prob. 37ECh. 11.4 - The accompanying data resulted from an experiment...Ch. 11.4 - The accompanying data resulted from a 23...Ch. 11.4 - In a study of processes used to remove impurities...Ch. 11.4 - Prob. 41ECh. 11.4 - Prob. 42ECh. 11.4 - Prob. 43ECh. 11.4 - a. In a 24 experiment, suppose two blocks are to...Ch. 11.4 - a. An experiment was carried out to investigate...Ch. 11.4 - Prob. 46ECh. 11.4 - a. In a seven-factor experiment (A,, G), suppose a...Ch. 11.4 - The article Applying Design of Experiments to...Ch. 11 - The results of a study on the effectiveness of...Ch. 11 - Prob. 51SECh. 11 - Prob. 52SECh. 11 - In an automated chemical coating process, the...Ch. 11 - Coal-fired power plants used in the electrical...Ch. 11 - Impurities in the form of iron oxides lower the...Ch. 11 - Factorial designs have been used in forestry to...Ch. 11 - Prob. 57SECh. 11 - Prob. 58SECh. 11 - The bond strength when mounting an integrated...Ch. 11 - Prob. 60SECh. 11 - Prob. 61SE
Knowledge Booster
Learn more about
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
- An article in the ACI Materials Journal (Vol. 84, 1987, pp. 213-216) describes several experiments investigating the rodding of concrete to remove trapped air. A 3-inch x 6-inch cylinder was used, and the number of times this rod was used is the design variable. The resulting compressive strength of the concrete specimen is the response. The data are shown in the following table. ... Compressive Strength (psi) Rodding Level Observations 10 1530 1530 1440 15 1610 1650 1500 20 1560 1730 1530 25 1500 1490 1510 Calculate the test statistic fo- Input answer up to 2 decimal places. TestStatisticf. Blank 1arrow_forwardA sociologist wants to determine if the life expectancy of people in Africa is less than the life expectancy of people in Asia. The data obtained is shown in the table below. Africa Asia = 63.3 yr. 1 X,=65.2 yr. 2 o, = 9.1 yr. = 7.3 yr. n1 = 120 = 150arrow_forwardAn article in the ACI Materials Journal (Vol. 84, 1987, pp. 213-216) describes several experiments investigating the rodding of concrete to remove trapped air. A 3-inch x 6-inch cylinder was used, and the number of times this rod was used is the design variable. The resulting compressive strength of the concrete specimen is the response. The data are shown in the following table. Compressive Strength (psi) Rodding Level Observations 10 1530 1530 1440 15 1610 1650 1500 20 1560 1730 1530 25 1500 1490 1510 Calculate the test statistic fo-arrow_forward
- An experiment was conducted to study the extrusion process of biodegradable packaging foam. Two of the factors considered for their effect on the unit density (mg/ml) were the die temperature (145 °C vs. 155 °C) and the die diameter (3 mm vs. 4 mm). The results are stored in [Packaging Foam 1]. Source: Data extracted from W. Y. Koh, K. M. Eskridge, and M. A. Hanna, "Supersaturated Split-Plot Designs," Journal of Quality Technology, 45, January 2013, pp. 61-72.At the 0.05 level of significance, 3mm 4mm 57.22 145 72.54 145 53.60 66.70 145 48.13 49.28 145 69.89 44.14 145 62.78 58.37 145 55.18 53.98 155 57.50 63.03 155 54.17 46.73 155 73.86 60.17 155 90.28 46.78 155 88.19 43.27 155 82.61 56.93 Die Temperature a. is there an interaction between die temperature and die diameter? b. is there an effect due to die temperature? c. is there an effect due to die diameter? d. Plot the mean unit density for each die temperature for each die diameter. e. What can you conclude about the effect of die…arrow_forwardAn experiment was conducted to study the extrusion process of biodegradable packaging foam. Two of the factors considered for their effect on the foam diameter (mm) were the die temperature(145°C vs.155°C) and the die diameter (3 mm vs. 4 mm). The results are in the accompanying data table. The question are attached in a photoarrow_forwardThe spotted lanternfly, Lycorma delicatula, is an invasive species to the United States that has the potential to do significant agricultural damage. An ecologist is studying the relationship between the size of the female spotted lanternflies and the number of eggs they produce. The data are summarized below. Length of insect: AVG = 1 inch, SD = 0.15 inchNumber of eggs: AVG = 40 eggs, SD = 5 eggsr = 0.2 Using regression, we can say that the average number of eggs produced by female spotted lanternflies who are 1.1 inch long is closest to... Group of answer choices 42 39 40 41arrow_forward
- An article in the Fire Safety Journal (“The Effect of Nozzle Design on the Stability and Performance of Turbulent Water Jets,” Vol. 4, August 1981) describes an experiment in which a shape factor was determined for several different nozzle designs at six levels of jet efflux velocity. Interest focused on potential differences between nozzle designs (blocks), with velocity considered as a nuisance variable. The data are shown below: Jet Efflux Velocity (m/s) Nozzle Design 11.73 14.37 16.59 20.43 23.46 28.74 1 0.78 0.80 0.81 0.75 0.77 0.78 2 0.85 0.85 0.92 0.86 0.81 0.83 3 0.93 0.92 0.95 0.89 0.89 0.83 4 1.14 0.97 0.98 0.88 0.86 0.83 5 0.97 0.86 0.78 0.76 0.76 0.75 1) Write the null hypothesis and the alternative hypothesis (for the factor). 2) Find the ANOVA table. (round to five decimal places). 3) What is your decision about the null hypothesis, consider ?. 4) If your decision in part (4) was reject , perform Tukey test to determine which pairwise means are…arrow_forwardThe following are the weight losses of certain machine parts due to friction (in milligrams) when used with three different lubricants: Lubricant 1: 13 11 10 13 Lubricant 2: 9. 11 Lubricant 3: 7 6. Test at the 0,01 level of significance whether the type of lubricant effects the weight loss of the machine parts due to friction. While carrying out the test, follow the steps below and answer the questions. 1- Determine the null and alternative hypotheses. Ho: H: 2-Fill in the following ANOVA Table. ANOVA Table Source of Variation Degrees of Freedom Sum of Squares Mean Sum of Squares Treatment Error Total 3-State your decision and conclusion.arrow_forward1. Can balloons hold more air or more water before bursting? A student purchased a large bag of 12-inch balloons. He randomly selected 10 balloons from the bag and then randomly assigned half of them to be filled with air until bursting and the other half to be filled with water until bursting. He used devices to measure the amount of air and water was dispensed until the balloons burst. Here's the data: Air (ft') Water (ft) 0.52 0.44 0.58 0.41 0.50 0.55 0.46 0.61 0.38 0.45 Does the data give convincing evidence air filled balloons can attain a greater volume than water filled balloons?arrow_forward
- Nicole and Jen are atidnyjng factors affecting FEV(forced exploratory volume- how much air a person can push out in a forced breath). Their investigation focuses on data from a sample of 12 patients: Patient height(cm) FEV(L) Luve in a smokinghousehold 1 153 2.23 N 2 168 2.98 N 3 183 4.50 N 4 178 4.82 Y 5 185 4.32 N 6 169 3.21 N 7 173 3.69 Y 8 168 2.68 Y 9 157 2.20 Y 10 166 3.35 N 11 171 3.08 N 12 175 3.30 Y q2 a. Based on your scatter plot estimate a correlation coefficient to quantity the relation between height and FEV. Put your answer into one decimal place. b. Use key wits to describe the relationship between the height and FEV VARIABLES c. Jen is form America and more comfortable working with height in feet. If hen converts the height data from the cm to feet(mutlpiy by 0.0328) how will correlation coefficient that you estranged in a perk of change.explain.arrow_forwardNicole and Jen are atidnyjng factors affecting FEV(forced exploratory volume- how much air a person can push out in a forced breath). Their investigation focuses on data from a sample of 12 patients: Patient height(cm) FEV(L) Luve in a smokinghousehold 1 153 2.23 N 2 168 2.98 N 3 183 4.50 N 4 178 4.82 Y 5 185 4.32 N 6 169 3.21 N 7 173 3.69 Y 8 168 2.68 Y 9 157 2.20 Y 10 166 3.35 N 11 171 3.08 N 12 175 3.30 Y q4 Jen and Nicole are now looking at the raltiknshil between smoking and FEV a. Construct 2 boxplot side by side on the same graph for the FEV data broken into smoking into non smoking. The quartile statistics have been calculated and out in the table to help you: FEV stats smoker non smoker 1st quartile 2.44 2.98 2nd 4.26 4.32 use the statistics in this table together with information from the table at the tap of that page to construct your boxplots - include all label titles and other relevant information b. Identify at least…arrow_forwardNicole and Jen are atidnyjng factors affecting FEV(forced exploratory volume- how much air a person can push out in a forced breath). Their investigation focuses on data from a sample of 12 patients: Patient height(cm) FEV(L) Luve in a smokinghousehold 1 153 2.23 N 2 168 2.98 N 3 183 4.50 N 4 178 4.82 Y 5 185 4.32 N 6 169 3.21 N 7 173 3.69 Y 8 168 2.68 Y 9 157 2.20 Y 10 166 3.35 N 11 171 3.08 N 12 175 3.30 Y q3 the line of best fit between the HEIGHT and FEV variables can be described by: F=0.08H-10 whee F represents FEV(L) and H represent height(cm) use this equation to predict: a. The FEV of a patient who is 183 cm talk(Give your answer to 2 decimal point) b. The height of a patients with a FEV of 2.651L(give your answer to the nearest whole number)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License