ELEMENTARY STATISTICS(LL)(FD)
3rd Edition
ISBN: 9781260707458
Author: Navidi
Publisher: MCGRAW-HILL CUSTOM PUBLISHING
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 14, Problem 5CQ
To determine
To explain:Whether to reject the hypothesis of no interaction or not.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
An engineer has set up a DOE (design-of-experiment) to test the wear of laminated materials and how it
depends on the glue and filler used. At each test condition, two experiments were run. The engineer collected
the data below. Calculate the main and interaction effects.
Glue Filler Result 1 Result 2
0.3 0.5
65
70
0.6 0.5
0.3 0.75
0.6 0.75 101
89
97
61
72
105
Calculate the test statistics.
SSclue number (rtol=0.01, atol=0.0001)
SSpiller number (rtol=0.01, atol=0.0001)
SSinteraction number (rtol=0.01, atol=0.0001)
Felue
number (rtol=0.01, atol=0.0001)
Friller number (rtol=0.01, atol=0.0001)
Finteraction number (rtol=0.01, atol=0.0001)
Calculate the p-value.
Pclue number (rtol=0.01, atol=0.0001)
PFiller number (rtol=0.01, atol=0.0001)
Pinteraction number (rtol=0.01, atol=0.0001)
Which are statistically significant at a 10% level? State your decisions.
O (a) Cannot Reject HO: Glue
O (b) Reject HO: Interaction
O (c) Cannot Reject HO: Interaction
O (d) Reject H0: Filler
O (e) Cannot Reject…
2. A researcher had rats engage in a lever-press task for either a small, medium, or larger reward. The number of
lever presses was the dependent variable. The data were as follows:
Reward Size
Small
Medium
Large
1
4
6
4
3
5
1
4
4
2
5
T = 13
SS = 2.75
T= 6
T= 20
SS = 9
SS = 2
EX2 = 165
a. Do the data indicate that reward size had a significant impact on lever-pressing? Use the hypothesis testing
steps & p = .05. Compute any necessary post-hoc tests.
b. Compute eta-squared to measure the effect size.
Lecture(8.1):
A research study was conducted that measured empathy after watching Sesame street for five days
in a row. The study was conducted twice. For Study A the researcher recruited 20 children and randomly assigned them into 2 groups, one group who watched Sesame street. and a second
group who did not watched Sesame street. Empathy was measured after 5 days. For study B the researcher decided to only recruit only 10 children who all watched Sesame street and this time
measued empathy before the first hour of Sesame street and again afte 5 days once the lasr hour
was watched. Which of these studies uses an independent sample and which uses a dependent
sample.?
Chapter 14 Solutions
ELEMENTARY STATISTICS(LL)(FD)
Ch. 14.1 - In Exercises 7 and 8, fill in each blank with the...Ch. 14.1 - Prob. 8ECh. 14.1 - Prob. 9ECh. 14.1 - Prob. 10ECh. 14.1 - Prob. 11ECh. 14.1 - Prob. 12ECh. 14.1 - In a one-way ANOVA, the following data were...Ch. 14.1 - In a one-way ANOVA, the following data were...Ch. 14.1 - Samples were drawn from three populations. The...Ch. 14.1 - Samples were drawn from three populations. The...
Ch. 14.1 - Pesticide danger: One of the factors that...Ch. 14.1 - Life-saving drug: Penicillin is produced by the...Ch. 14.1 - Pesticide danger: Using the data in Exercise 17,...Ch. 14.1 - Life-saving drug: Using the data in Exercise 18,...Ch. 14.1 - Artificial hips: Artificial hip joints consist of...Ch. 14.1 - Floods: Rapid drainage of floodwater is crucial to...Ch. 14.1 - Artificial hips: Using the data in Exercise 21,...Ch. 14.1 - Floods: Using the data in Exercise 22, perform the...Ch. 14.1 - Polluting power plants: Power plants can emit...Ch. 14.1 - Prob. 26ECh. 14.1 - Prob. 27ECh. 14.1 - Prob. 28ECh. 14.1 - Prob. 29ECh. 14.1 - Prob. 30ECh. 14.1 - Prob. 31ECh. 14.2 - Prob. 5ECh. 14.2 - Prob. 6ECh. 14.2 - Prob. 7ECh. 14.2 - Prob. 8ECh. 14.2 - In a two-way ANOVA, the P-value for interactions...Ch. 14.2 - Prob. 10ECh. 14.2 - Prob. 11ECh. 14.2 - Prob. 12ECh. 14.2 - Prob. 13ECh. 14.2 - Prob. 14ECh. 14.2 - Prob. 15ECh. 14.2 - Prob. 16ECh. 14.2 - Prob. 17ECh. 14.2 - Prob. 18ECh. 14.2 - Prob. 19ECh. 14.2 - Prob. 20ECh. 14.2 - Prob. 21ECh. 14.2 - Prob. 22ECh. 14.2 - Prob. 23ECh. 14.2 - Strong beams: The following table presents...Ch. 14.2 - Prob. 25ECh. 14.2 - Prob. 26ECh. 14.2 - Fruit yields: An agricultural scientist performed...Ch. 14.2 - Prob. 28ECh. 14.2 - Prob. 29ECh. 14 - Exercises 1-4 refer to the following data: At a...Ch. 14 - Prob. 2CQCh. 14 - Prob. 3CQCh. 14 - Prob. 4CQCh. 14 - Prob. 5CQCh. 14 - Prob. 6CQCh. 14 - Prob. 7CQCh. 14 - Prob. 8CQCh. 14 - Prob. 9CQCh. 14 - Prob. 10CQCh. 14 - Prob. 1RECh. 14 - Prob. 2RECh. 14 - Prob. 3RECh. 14 - Prob. 4RECh. 14 - Prob. 5RECh. 14 - Prob. 6RECh. 14 - Prob. 7RECh. 14 - Prob. 8RECh. 14 - Prob. 9RECh. 14 - Prob. 10RECh. 14 - Prob. 11RECh. 14 - Prob. 12RECh. 14 - Prob. 13RECh. 14 - Prob. 14RECh. 14 - Prob. 15RECh. 14 - Prob. 1WAICh. 14 - Prob. 2WAICh. 14 - Prob. 3WAICh. 14 - Prob. 4WAICh. 14 - Prob. 5WAICh. 14 - Prob. 1CSCh. 14 - Prob. 2CSCh. 14 - Prob. 3CSCh. 14 - Prob. 4CS
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
- Urban Travel Times Population of cities and driving times are related, as shown in the accompanying table, which shows the 1960 population N, in thousands, for several cities, together with the average time T, in minutes, sent by residents driving to work. City Population N Driving time T Los Angeles 6489 16.8 Pittsburgh 1804 12.6 Washington 1808 14.3 Hutchinson 38 6.1 Nashville 347 10.8 Tallahassee 48 7.3 An analysis of these data, along with data from 17 other cities in the United States and Canada, led to a power model of average driving time as a function of population. a Construct a power model of driving time in minutes as a function of population measured in thousands b Is average driving time in Pittsburgh more or less than would be expected from its population? c If you wish to move to a smaller city to reduce your average driving time to work by 25, how much smaller should the city be?arrow_forwardMany golfers wear wrist bracelets containing magnets because they claim the magnets improve balance and the length of shots played off the tee. A golfer would like to determine if the claim has merit and finds 200 volunteers who play golf to participate in an experiment. Half of the golfers are randomly assigned to wear a bracelet with magnets, while the other half wear a bracelet without magnets. Each golfer plays normally for a month, after which the length of their shots in a subsequent round is recorded. What is the response variable in this experiment? the age of each golfer the 200 volunteers the length of shots played by the golfers whether the golfers wear or do not wear the braceletarrow_forwardThe director of an obesity clinic in a large northwestern city believes that drinking soft drinks contribute to obesity in children. To determine whether a relationship exists between these two variables, she conducts the following pilot study. Eight- 12-year-old male volunteers are randomly selected from children attending a local junior high school. Parents of the children are asked to monitor the number of soft drinks consumed by their child over a one week period. The children are weighed at the end of the week and their weights converted into body mass index (BMI) values. The BMI is a common index used to measure obesity and takes into account both height and weight. An individual is considered obese if they have a BMI value 30. The following data or collected: child. # of soft drinks consumed BMI 1 3 20 2 1 18 3…arrow_forward
- DO C ONLY PLEASE!!arrow_forwardYou may need to use the appropriate technology to answer this question. An automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data obtained follow. Analyzer computerized electronic Car compact 50 41 Intermediate 56 45 Full Sized 62 46 Use ? = 0.05 to test for any significant differences. State the null and alternative hypotheses. H0: ?Computerized = ?ElectronicHa: ?Computerized ≠ ?ElectronicH0: ?Computerized ≠ ?ElectronicHa: ?Computerized = ?Electronic H0: ?Computerized = ?Electronic = ?Compact = ?Intermediate = ?Full-sizedHa: Not all the population means are equal.H0: ?Compact = ?Intermediate = ?Full-sizedHa: ?Compact ≠ ?Intermediate ≠ ?Full-sizedH0:…arrow_forwardYou may need to use the appropriate technology to answer this question. An automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data obtained follow. Analyzer Computerized Electronic Compact 50 41 Car Intermediate 54 44 Full-sized 64 47 Use a = 0.05 to test for any significant differences. State the null and alternative hypotheses. O Ho: MCompact = "Intermediate = HFull-sized H: "Compact * "Intermediate * "Full-sized O Ho: "Compact * "Intermediate * HFull-sized H: "Compact "Intermediate = "Full-sized O Ho: Computerized = HElectronic H: "Computerized * HElectronic O Ho: "Computerized = HElectronic = "Compact = Intermediate = Full-sized H: Not all the population means are equal. O Ho: HComputerized *…arrow_forward
- Active is an energy drink that claims to provide physical strength. To test this claim, the producers of Active conducted a study. The company recruited 25 high school athletes and 4 professional football players to participate in the study. The high school athletes were each randomly assigned to drink between 1 and 5 ounces of Active. The professional football players were assigned to drink either 30 or 31 ounces. After waiting 10 minutes they completed as many pull-ups as they could. Here is a scatterplot showing the number of energy drinks consumed and the number of pull ups that were completed by each participant, as well as a line of best fit. Which of the following would increase if the professional football players were removed from the data set? (A) rr (B) r^2r2 (C) the slope (D) the standard deviation of the residuals (E) None of the above.arrow_forwardYou may need to use the appropriate technology to answer this question. An automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were us blocks in the experiment. The data obtained follow. Analyzer Computerized Electronic Compact 50 41 Car Intermediate 54 44 Full-sized 64 47 Use a = 0.05 to test for any significant differences. State the null and alternative hypotheses. O Ho: MCompact = "Intermediate = "Full-sized H: "Compact *"Intermediate * Full-sized O Ho: "Compact * "Intermediate * Full-sized H: "Compact = "Intermediate "Full-sized O Ho: "Computerized = HElectronic H: "Computerized * "Electronic O Ho: "Computerized = "Electronic = "Compact = 4Intermediate = "Full-sized H: Not all the population means are equal. O Ho: "Computerized *…arrow_forwardQ5) An article in the ACI Materials Journal (Vol. 84, 1987, pp. 213–216) describes several experiments investigating the rodding of concrete to remove entrapped air. A 3-inch & 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 shown is posted on BruinLearn Week 2: A. Is there any difference in compressive strength due to the rodding level? Use (α= 0.05). B. Find the P-value for the F statistic in part (a). C. Analyze the residuals from this experiment. What conclusions can you draw about the underlying model assumptions? D. Construct a graphical display to compare the treatment means as described in your lecture notes.arrow_forward
- A pharmaceutical company has developed a drug that is expected to reduce hunger. Totest the drug, three samples of rats are selected with n = 9 in each sample. The first sample receives the drug every day. The second sample is given the drug once a week, and the third sample receives no drug at all (the control group). The dependent variables is the amount of food eaten by each rat over a 1-month period. These data are analyzed by an ANOVA, and the results are reported in the following summary table. Fill in all missing values in the table. (Hint: Slart with the df column.) s.s. df. M.S. F Between 3.65 Within 3.12 TOTAL Use the =FDIST() function in Excel to locate the pvalue for this ANOVA: pvalue - Report p-value accurate to at least 6 decimal places. If you use a significance level of a = .05, what would you conclude about these treatments? OThere is a significant difference between treatments OThese data do not provide evidence of a difference between the treatmenESarrow_forwardIn a study, the effects of the mane of a male lion as a signal of quality to mates and rivals was explored. Four life-sized dummies of male lions provided a tool for testing female response to the unfamiliar lions whose manes varied by length (long or short) and color (blonde or dark). The female lions were observed to see whether they approached each of the four life-sized dummies. Complete parts (a) through (e) below. a. Identify the experimental units. Choose the correct answer below. The female lions The male dummies The mane colors The mane lengths Part 2 b. Identify the response variable. Choose the correct answer below. A. Whether or not (yes or no) the mane length affected how the female lions reacted to a male dummy. B. Whether or not (yes or no) the female lions approached the same dummies. C. Whether or not (yes or no) the female lions approached a male dummy. D. Whether or not…arrow_forwardr. Lyte wishes to study speed of Reaction Time to press a button in response to the onset of a lamp. The independent variable (IV) is the color of the light produced by the lamp (red, orange, yellow, green, or blue). Since only 10 participants are available, she elects to administer the IV within-subjects with all 10 participants being exposed to all five levels of the color variable. The order of the color of the light presentation is to be counterbalanced. Using concepts from the textbook, why would Dr. Lyte need to use counterbalancing in this scenario?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
The Shape of Data: Distributions: Crash Course Statistics #7; Author: CrashCourse;https://www.youtube.com/watch?v=bPFNxD3Yg6U;License: Standard YouTube License, CC-BY
Shape, Center, and Spread - Module 20.2 (Part 1); Author: Mrmathblog;https://www.youtube.com/watch?v=COaid7O_Gag;License: Standard YouTube License, CC-BY
Shape, Center and Spread; Author: Emily Murdock;https://www.youtube.com/watch?v=_YyW0DSCzpM;License: Standard Youtube License