The average of grade point averages (GPAS) of college courses in a specific major is a measure of difficulty of the major. An educator wishes to conduct a study to find out whether the difficulty levels of different majors are the same. For such a study, a random sample of major grade point averages (GPA) of 11 graduating seniors at a large university is selected for each of the four majors mathematics, English, education, and biology. The data are given in the table. Test, at the 5% level of significance, whether the data contain sufficient evidence to conclude that there are differences among the average major GPAS of these four majors. Major sample size Sample mean Sample Variance Mathematics 11 2.90 0.188 English 11 3.34 0.148 Education 11 3.36 0.229 Biology 11 3.02 0.157 =MST =MSE =The critical F =F

The average of grade point averages (GPAS) of college courses in a specific major is a measure of difficulty of the major. An educator wishes to conduct a study to find out whether the difficulty levels of different majors are the same. For such a study, a random sample of major grade point averages (GPA) of 11 graduating seniors at a large university is selected for each of the four majors mathematics, English, education, and biology. The data are given in the table. Test, at the 5% level of significance, whether the data contain sufficient evidence to conclude that there are differences among the average major GPAS of these four majors. Major sample size Sample mean Sample Variance Mathematics 11 2.90 0.188 English 11 3.34 0.148 Education 11 3.36 0.229 Biology 11 3.02 0.157 =MST =MSE =The critical F =F

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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In a study, a CSULB professor wants to estimate the average grade point averages (GPA) of all students at CSULB. 15 students were randomly surveyed for his study. The GPA of the selected college students are 2.3, 3.3, 2.6, 1.8, 0.2, 3.1, 4.0, 0.7, 2.3, 2.0, 3.1, 3.4, 1.3, 2.6, 2.6. After calculation, the sample mean is 2.35 and the sample standard deviation is 1.03. Assume the population distribution is approximately normal. What is a 90% confidence interval for the population mean?
In each scenario, identify the population, the sample, and any population parameters or sample statistics that are given. In a recent study, US graduates of for-profit higher education institutions were between 4.8 and 6.7 percentage points more likely to be unemployed than those at non-profit institutions and community colleges.
A researcher shows a group of 5-year-olds, 6-year-olds, and 7-year-olds a video displaying violence. He wants to test whether there are significant differences among the 3 groups on their levels of aggression after watching the video. What statistic should she conduct?
In this problem, we explore the effect on the mean, median, and mode of multiplying each data value by the same number. Consider the following data set. 5, 5, 6, 9, 13 In USE SALT (a) Compute the mode, median, and mean. mode median mean (b) Multiply each data value by 8. Compute the mode, median, and mean. mode median mean (c) Compare the results of parts (a) and (b). In general, how do you think the mode, median, and mean are affected when each data value in a set is multiplied by the same constant? Multiplying each data value by the same constant c results in the mode, median, and mean increasing by a factor of c. Multiplying each data value by the same constant c results in the mode, median, and mean remaining the same. Multiplying each data value by the same constant c results in the mode, median, and mean decreasing by a factor of c. There is no distinct pattern when each data value is multiplied by the same constant. (d) Suppose you have information about average heights of a…
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The table below shows a stem-and-leaf diagram for the test scores of students in Liberal Arts Math.
x Resorts & Spas, a magazine devoted to upscale vacations and accommodations, published its Reader's Choice List of the top 20 independent beachfront boutique hotels in the world. The data shown are the scores received by these hotels based on the results from Resorts & Spas' annual Readers' Choice Survey. Each score represents the percentage of respondents who rated a hotel as excellent or very good on one of three criteria (comfort, amenities, and in-house dining). An overall score was also reported and used to rank the hotels. The highest ranked hotel, the Muri Beach Odyssey, has an overall score of 94.3, the highest component of which is 97.7 for in-house dining. If required, round your answer to three decimal places. Click on the datafile logo to reference the data. Hotel Overall Comfort Amenities In-House Dining Muri Beach Odyssey 94.3 94.5 90.8 97.7 Pattaya Resort 92.9 96.6 84.1 96.6 Sojourner's Respite 92.8 99.9 100.0 88.4…
In the class poll from the beginning of the year, you were asked what color car you drive. The results are summarized below. aqua 3 beige/tan/gold 39 black 80 blue 44 green 21 orange 3 pink 1 purple 3 red 45 silver 63 white 74 yellow 1 What is the mode for this data set?
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What is the difference between Sample and Population? Provide an example of each.
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A psychologist at a private mental health facility was asked to determine whether there was a clear difference in the length of stay for patients with different categories of diagnosis. Looking at the last seven patients in each of the three major categories, the results (in terms of weeks of stay) were as follows. Using the data below, test whether the length of stay for patients vary based on category of diagnosis. Diagnosis Category Affective Disorders Cognitive Disorders Drug-related Conditions 7 12 8 6 8 10 5 9 12 6 11 10 9 11 9 5 10 11 6 9 12 The above scenario requires a one-way Anova, with a bar graph. Question - I need to write an explanation for the output given. I am to include a statistical notation and explanation as to whether the results are significant or not significant. Examples of Explanation: Non-significant:A One-Way ANOVA was conducted to examine whether a preceding situation (watching a…