For Two-Way ANOVA, we always begin by testing for interaction between Factor A and Factor B. What do we do if we reject the null hypothesisfor the test for interaction?Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer.aTest for differences in the means of Factor A and for differences in the means of Factor B.bStop. No further testing will be done.

A Two-Way ANOVA always begins by testing for interaction between Factor A and Factor B.If the null…

Answered: For Two-Way ANOVA, we always begin by…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 51 42 Intermediate 55 43 Full-sized 62 47 Use ? = 0.05 to test for any significant differences. State the null and alternative hypotheses. H0: ?Computerized ≠ ?ElectronicHa: ?Computerized = ?ElectronicH0: ?Computerized = ?Electronic = ?Compact = ?Intermediate = ?Full-sizedHa: Not all the population means are equal. H0: ?Computerized = ?ElectronicHa: ?Computerized ≠ ?ElectronicH0: ?Compact ≠ ?Intermediate ≠ ?Full-sizedHa: ?Compact = ?Intermediate = ?Full-sizedH0: ?Compact = ?Intermediate = ?Full-sizedHa: ?Compact ≠ ?Intermediate ≠ ?Full-sized Find the value of…
Earlier this semester, we learned to use 2-Sample-TTest to compare the population means of two independent populations. One-way ANOVA is more powerful because it could compare the population means of three or more independent populations. However, use of one-way ANOVA also requires the assumption that the populations have the same variance. In this exercise, we will compare and contrast One-way ANOVA and 2-Sample-TTest. With the 2-Sample- TTEST, we will first choose 'No' for the pooled variances option, then re-run the test while choosing 'Yes' for the pooled variances option. Use the following data to complete these tasks. Depending on if you choose to do this by hand or using code, use the data format that suits you best - LONG form on top or WIDE form on bottom. Treatment One One One One One One One One Two Two Two Two Two Two Two Two Treatment Treatment One Two 5.6 4.7 3.6 3.9 5.2 4.3 4.1 4.8 Response 5.6 4.7 3.6 3.9 5.2 4.3 4.1 4.8 3.4 2.3 4.4 3.5 3.7 5.8 2.8 4.7 p-value= 3.4 2.3…
Which ONE of the following equations forms the basis of the One-way Anova calculations? between-groups sum of squares plus within-groups sum of squares = total sum of squares between-groups sum of squares divided by within-groups sum of squares = total sum of squares within-groups sum of squares divided by between-groups sum of squares = F-statistic between-groups sum of squares plus within-groups sum of squares = F-statistic The Anova procedure will be appropriate if certain conditions hold. One of those conditions is that the population variances should be the same. sample variances should be different from each other. population means should be the same. Below is some info about a certain One-way Anova F-test. Identify the null hypothesis, alternative hypothesis and final conclusion by choosing the BEST option for each blank. Categorical Variable: type of meat being cooked (all pieces of meat are cut into one-inch cubes)…
Guéguen and Jacob (2012) asked waitresses to wear different colored T-shirts on differentdays for a six-week period and recorded the lips left by male customers. The results show that male customers gave significantly bigger tips to waitresses when they were wearing red. For this study, identify the independent variable and the dependent variable.
Two different blood pressure medicines are being compared to determine if the average reduction in blood pressure is the same for each medication. The goal of the study is to determine if the medications differ. Twenty men age 50-60 years old are selected for the study. Ten men are chosen at random to receive the first medication and the other 10 men receive the second medication. Each of the 20 men is monitored for one month to determine the change in blood pressure over that time. Minitab provides the 95% confidence interval for (mu1 - mu2) (2.63, 14.18) a. Interpret this 95% CI. b. What assumptions (be specific) are necessary to construct this CI?
Snow avalanches can be a real problem for travelers in the western United States and Canada. A very common type of avalanche is called the slab avalanche. These have been studied extensively by David McClung, a professor of civil engineering at the University of British Columbia. Suppose slab avalanches studied in a region of Canada had an average thickness of u = 67 cm. The ski patrol at Vail, Colorado, is studying slab avalanches in its region. A random sample of avalanches in spring gave the following thicknesses (in cm). 59 51 76 38 65 54 49 62 68 55 64 67 63 74 65 79 (i) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) X= cm S= cm (ii) Assume the slab thickness has an approximately normal distribution. Use a 1% level of significance to test the claim that the mean slab thickness in the Vail region is different from that in the region of Canada. (a) What is the level of significance? State the null and…
A 2x2 experiment looks at how obesity and hunger affect the amount of food people eat. The results are shown below. n=10 participants per condition. Additional info if needed: N=40, G=120, ∑?2=640∑x2=640 please conduct a twoway ANOVA and draw conclusions about the main effects and interaction of obesity and hunger on food intake. Obesity (Factor B) B1 (Obese) B2 (normal weight) Hunger A1 (not hungry) M=4 SS=50 M=1 SS=30 Factor A A2 (hungry) M=5 SS=60 M=2 SS=40
Students in an AP Statistics class wanted to determine if a person's hand span is associated with the number of candies he or she can pick up from a bowl of candy. For the fourteen students in the class, each student's hand span and the number of candies he or she was able to pick up was recorded. A least- squares analysis was conducted on the number of candies versus hand span. The conditions for inference were checked and deemed reasonable. The regression analysis output is given in the table below. Predictor Constant Coef -8.74 SE Coef 10.81 T -0.81 P 0.434 Hand span 1.26 0.52 2.44 0.031 S=3.34 R-Sq = 33.1% 39. The estimate of the slope of the least-squares regression line using a 95% confidence interval is (A) 1.26 ± 2.18(0.52) (B) 1.26 ± 2.44(0.52) (C) 1.26 ± 2.18 ( (0.521 (D) 1.26 ± 1.96(0.52) (E) 1.26 ± 3.34 (0.52) √14
Construct a numerical example, i.e., a data set, such that a two-sample t-test will yield an insignificant test result but a pair t-test will yield a significant test result. (For the two-sample t-test, you can either assume equal variances or unequal variances, which will not affect the key idea of this question.) I need to know how this is possible and what the basics of making this data set should be.
Using the latest in medical technology, an orthopedic doctor has developed a new surgical procedure that he believes is an improvement over the standard procedure. He wants to study whether the mean recovery time of patients who have the new procedure is less than the mean recovery time of patients who have the standard procedure. The doctor studies a random sample of 11 patients who have the new procedure and a random sample of 9 patients who have the standard procedure. (These samples are chosen independently.) The doctor records each patient's recovery time (in days). The patients who had the new procedure have a sample mean recovery time of 367.3 with a sample variance of 2851.8. The patients who had the standard procedure have a sample mean recovery time of 420.9 with a sample variance of 98.1. Assume that the two populations of recovery times are approximately normally distributed. Can the doctor conclude, at the 0.01 level of significance, that the population mean of the…
Investigation 3.2: Valence Differences Between R&B and Rap Genres (Paired)A music fan claims that R&B songs tend to have a more positive tone on average than do Rapsongs. The individual collected two independent random samples from the population of SpotifySongs. Fifteen R&B songs and another fifteen Rap songs were collected and their Valence wasrecorded. The music fan believed that pairing the song by their Danceability may provideadditional information. Danceability describes how suitable a track is for dancing based on acombination of musical elements including tempo, rhythm stability, beat strength, and overallregularity. A value of 0.0 is least danceable and 1 is most danceable. Thus, the individual pairedthe R&B song with the lowest danceability with the Rap song with the lowest danceability,followed by the second and second, third and third. She continued this process until the R&Bsong with the highest danceability was paired with the Rap song with the…

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