Calculate the degrees of freedom for Between Groups and Within Group
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A professor wants to know which type of instructional
| Online | Hybrid | Face-to-Face |
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3 3 4 3 3 |
1 3 1 3 2 |
2 2 2 1 3 |
Calculate the degrees of freedom for Between Groups and Within Groups.
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- A social psychologist wanted to determine whether attitudes of men toward abortion were different in rural and urban areas. He prepared a questionnaire and administered it to a group of city dwellers and a group of country dwellers. Each city man was matched with a country man on age, income, and education. High scores indicate positive attitudes toward abortion. Here are the questionnaire scores. Rural Men Urban Men 22 25 19 23 18 20 17 18 15 12 10 9 6 4 4 3 a. What statistical method should be used and why? b. Calculate a 95% confidence interval about the difference in the two populations. c. Use the CI to test the null hypothesis that rural and urban men have identical attitudes toward abortion.A social scientist wanted to study the education levels of adults who live in the tristate area of southwestern Pennsylvania, the West Virginia panhandle, and southeastern Ohio. A random sample of 25 middle-aged adults from each region was selected and asked about their highest level of education. The responses are displayed in the table. The scientist would like to know if these data provide convincing evidence that the distribution of education differs for these regions in the population of all tristate residents. Are the conditions for inference met? No, the random condition is not met. No, the 10% condition is not met. No, the Large Counts condition is not met. Yes, all three conditions for inference are met.Suppose you were to collect data for the following pair of variables, people: age, grip strength. You want to make a scatterplot. Which variable would you use as the explanatory variable? age grip strength Which variable would you use as the response variable? age grip strength Would you expect to see a positive or negative association? positive negative neither
- The following table gives the proportion of samples of college students in Washington as compared to Texas who support the idea of mandatory mental health counseling once a week for all college students for one year as a prerequisite to graduate with a degree. Texas College Students Washington College Students Number of Yes 42 60 Number of No 58 40he Computer Anxiety Rating Scale (CARS) measures an individual’s level of computer anxiety, on a scale from 20 (no anxiety) to 100 (highest level of anxiety). Researchers at Miami University administered CARS to 172 business students. One of the objectives of the study was to determine whether there are differences in the amount of computer anxiety experienced by students with different majors. They found the following: Major n Mean Marketing 19 44.37 Management 11 43.18 Other 14 42.21 Finance 45 41.80 Accountancy 36 37.56 MIS 47 32.21 (A) Complte the following ANOVA table: Source of Variation SS df MS F-ratio F-crit Between groups 3172 5 634.4 4.9567 2.2685 Within groups 21246 166 127.988 Total 24418 171 (A) At the 0.05 level of significance, is there evidence of a difference in the mean computer anxiety…Create a Study For this discussion, you will come up with an example of a situation in which two means would need to be compared, and describe which test would be the most appropriate. Develop a main response in which you address the following: Describe a possible study that could be conducted to compare two groups means. What would the main topic be? What groups would be compared? What data would be collected? Identify the test that would be the best choice to compare the group means. Explain why this test is the most appropriate for your example.
- To compare customer satisfaction levels of two competing cable television companies, 174 customers of Company 1 and 355 customers of Company 2 were randomly selected and were asked to rate their cable companies on a five-point scale, with 1 being least satisfied and 5 being most satisfied. The survey results are summarized in the following table. Company 1 Company 2 = 174 n2 = 355 I1 = 3.51 T2 = 3.24 S1 = 0.51 S2 = 0.52 It is desired to test, at a 0.01 level of significance, whether the data provide sufficient evidence to conclude that Company 1 has a higher mean satisfaction rating than does Company 2. Let u1 and u2 denote the population mean satisfaction ratings for Company 1 and Company 2, respectively. We consider the hypotheses: Ho : µ1 - H2 = 0 versus H1: 1- P2 > 0. %3D The value of the test statistic is (Write your answer precise to two decimal places, e.g., 1.78, 2.56, -3.71, 0.35.) The data (write "do" or "do not") provide sufficient evidence, at the 0.01 level of…A consumer group wanted to determine if there was a difference in customer perceptions about prices for a specific type of toy depending on where the toy was purchased. In the local area there are three main retailers: W-Mart, Tag, and URToy. For each retailer, the consumer group randomly selected 5 customers, and asked them to rate how expensive they thought the toy was on a 1-to-10 scale (1= not expensive, to 10 = very expensive). The toy was priced the same at all retail stores. Compute the percentage of variance explained by the group differences for these data. Q: Percentage and variance explained = ?In a study researching how donating to charity can affect a person's happiness, 96 participants were given $5 a day for one week. Each participant was randomly assigned to one of two groups. Those assigned to the first group were asked to spend the money on themselves, and those assigned to the second group were asked to donate the money to charity. At the end of the week, all of the participants were asked to rate their overall level of happiness on a scale from 0 to 100, with higher scores indicating greater levels of happiness. Which of the following are the appropriate null and alternative hypotheses to test whether the sample data provide convincing statistical evidence that donating to charity results in greater happiness than spending on oneself, on average? Ho self- "charity = 0 (A) Ha self charity >0 Ho self Mcharity=0 (B) Ha self charity 0 (E) Ha self = Mcharity <0
- The operations manager of a company that manufactures tires wants to determine whether there are any differences in the quality of workmanship among the three daily shifts. She randomly selects 499 tires and carefully inspects them. Each tire is either classified as perfect, satisfactory, or defective, and the shift that produced it is also recorded. The two categorical variables of interest are: shift and condition of the tire produced. The data can be summarized by the accompanying two-way table. Perfect Satisfactory Defective Total Shift 1 106 124 2 232 Shift 2 66 85 3 154 Shift 3 36 74 3 113 Total 208 283 8 499 A) This sample has degree of freedom:��= If shift and quality are independent, thenB) With any expected count accurate to 2 decimal places, the expected count in row 1 column 1 is�1,1= C) With any component accurate to 2 decimal places, the component value in row 1 column 1 of the table iscomponent1,1= D) �2 value of this sample is�2= . Round to 2 decimal…The Women’s Institutional Studies group at a Midwestern university wanted to compare the percentages of female faculty members in the various units on campus in Spring 2004. Of particular interest were the percentages of female faculty in the College of Education and in the College of Business . In a sample of 80 College of Education faculties, there were 36 females, and in a sample of 70 College of Business faculties, there were 15 females. Based upon this sample information, which of the following is the 98% confidence interval for the difference in the actual percentages of female faculty between College of Education and College of Business ? a. (0.075, 0.405). b. (0.123, 0.357). c. (-0.012, 0.252). d. (0.058, 0.422). e. (0.101, 0.379).The Bureau of Labor Statistics reports that the official unemployment rate for Black people was 10.4% and 4.7% for White people in February 2015. Select all correct answers for this question. O The samples of white and black people are independent. The explanatory variable is the unemployment rate. The response variable is the unemployment rate. The response variable is race.
