The following table shows scores on the first quiz (maximum score 10 points) for eighth-grade students inan introductory level French course. The instructor grouped the students in the course as follows:- Group 1: Never studied foreign language before but have good English skills- Group 2: Never studied foreign language before and have poor English skills- Group 3: Studied at least one other foreign languageFrench scores on the quizGroup 1Group 2 Grouр 341951085Mean6.03.08.0Std. Dev. 2.000 2.828 2.646SourceDFMSFPGroup230.0015.002.500.177Error530.006.00Total760.00a) Defining notation and using results obtained with software, also shown in the table, report the five stepsof the ANOVA test.b) The sample means are quite different, but the P-value is not small. Name one important reason for this.(Hint: For given sample means, how do the results of the test depend on the sample sizes?)c) Was this an experimental study, or an observational study? Explain how a lurking variable could beresponsible for Group 3 having a larger mean than the others. (Thus, even if the P-value were small, it isinappropriate to assume that having studied at least one foreign language causes one to perform betteron this quiz.)

The given test relates to One-way ANOVA for comparing the mean differences for three groups: Group…

Answered: The following table shows scores on the…

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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Suppose we want to compare the GPA for students in at least three different social classes (Upper, Middle, Working). We obtain GPA records for a randomly selected set of 30 students, ten from each social class group. What test should you use and why?
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To help plan the number of meals to be prepared in a college cafeteria, a survey was conducted, and the following data were obtained. 127 students ate breakfast.183 students ate lunch.272 students ate dinner.60 students ate breakfast and lunch.111 students ate breakfast and dinner.90 students ate lunch and dinner.53 students ate all three meals. How many students ate (a) At least one meal in the cafeteria? students(b) Exactly one meal in the cafeteria? students(c) Only dinner in the cafeteria? students(d) Exactly two meals in the cafeteria? students
Twenty-nine college students, identified as having a positive attitude about Mitt Romney as compared to Barack Obama in the 2012 presidential election, were asked to rate how trustworthy the face of Mitt Romney appeared, as represented in their mental image of Mitt Romney’s face. Ratings were on a scale of 0 to 7, with 0 being “not at all trustworthy” and 7 being “extremely trustworthy.” Here are the 29 ratings: 2.6 3.2 3.7 3.3 3.4 3.6 3.7 3.8 3.9 4.1 4.2 4.9 5.7 4.2 3.9 3.2 4.5 5.0 5.0 4.6 4.6 3.9 3.9 5.3 2.8 2.6 3.0 3.3 3.7 a 95% confidence interval for the mean rating. Is there significant evidence at the 5% level that the mean rating is greater than 3.5 (a neutral rating)?
To determine the amount of sugar in a typical serving of breakfast cereal, a student randomly selected 60 boxes of different types of cereal from the shelves of a large grocery store. The student noticed that the side panels of some of the cereal boxes showed sugar content based on one-cup servings, while others showed sugar content based on three- quarter-cup servings. Many of the cereal boxes with side panels that showed three-quarter-cup servings were ones that appealed to young children, and the student wondered whether there might be some difference in the sugar content of the cereals that showed different-size servings on their side panels. To investigate the question, the data were separated into two groups. One group consisted of 29 cereals that showed one-cup serving sizes; the other group consisted of 31 cereals that showed three-quarter cup serving sizes. The boxplots shown below display sugar content (in grams) per serving of the cereals for each of the two serving sizes.…
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