Ed 602 Quiz 15

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For each of the following research problems indicate the proper statistic to use for statistical analysis of the problem.

  1. A director of a large child-care center decides to train all her teachers in the use of CPR. The Red Cross is invited to provide the training to the teachers. To assess the teachers' increase in knowledge of CPR, the Red Cross suggests to the center's director that all the teachers complete a competency test before and after the training progrm. After completing the pretest, the teachers participate in a two-day CPR training program. After the training, they again complete the CPR competency test. The center's director, the teachers, and the Red Cross examine the posttest scores to determine whether they are significantly higher than the pretest scores obtained before the training.
    1. the z-score test.
    2. the z-test.
    3. the single sample t-test.
    4. the independent t-test.
    5. the dependent t-test.
    6. one-way analysis of variance.
    7. Pearson r.
    8. Spearman rS.
    9. one-variable chi-square.
    10. two-variable chi-square.

  2. A sixth-grade teacher notices that when the students in his class talk about the television programs they watched the evening before, the boys tend to discuss different programs than the girls do. To test whether there is a gender difference in the type of program watched by the children, the teacher decides to collect data from the sixth graders. He explains to his students the research question and asks them to keep a record of all the television programs they watch for one whole week. To increase the sample size, the students in the other two sixth-grade classes are also asked to keep track of the weekly television programs they watch. Together with his students, the teacher compiles the data gathered by 110 sixth-grade students. The television progams watched by the students are then classified into five categories: action, drama, comedy, nature, and news. To determine whether there is a difference in the type of programs watched by boys and girls, the teacher and the students record the number of students who watch each category, broken down by gender.
    1. the z-score test.
    2. the z-test.
    3. the single sample t-test.
    4. the independent t-test.
    5. the dependent t-test.
    6. one-way analysis of variance.
    7. Pearson r.
    8. Spearman rS.
    9. one-variable chi-square.
    10. two-variable chi-square.

  3. Is there such a thing as a student who is a high achiever in all subjects? Or a student who is a low achiever in all subjects? In an effort to contribute to the answer to these questions, a junior high school principal selects a random sample of 200 students from her school, and compares their standardized achievement test scores in mathematics, reading, language arts, study skills, and science. She wants to ascertain thether there is a relationship between student' scores on the five subjects.
    1. the z-score test.
    2. the z-test.
    3. the single sample t-test.
    4. the independent t-test.
    5. the dependent t-test.
    6. one-way analysis of variance.
    7. Pearson r.
    8. Spearman rS.
    9. one-variable chi-square.
    10. two-variable chi-square.

  4. A statistics instructor at a liberal arts college has noticed that psychology students seem to have more positive attitudes toward statistics than other students. Sociology students also seem to have a positive attitude, whereas English students seem to like statistics the least. To test whether there is some relationship between college major and students' attitudes toward statistics, the Attitude Toward Statistics (ATS) scale is given to all the students on the first day of the fall semester. The responses of psychology, sociology, English, and history students are then compared to each other to determine if there is a difference in the attitudes toward statistics exhibited by these students.
    1. the z-score test.
    2. the z-test.
    3. the single sample t-test.
    4. the independent t-test.
    5. the dependent t-test.
    6. one-way analysis of variance.
    7. Pearson r.
    8. Spearman rS.
    9. one-variable chi-square.
    10. two-variable chi-square.

  5. A school district is under court order to maintain a racial balance in all its schools. Each school in the district is required to reflect the racial/ethnic make-up of all the students in the district. The district has 41% white students, 29% black students, 24% Hispanic students, and 6% Asian students. In order to ascertain whether his school represents the district's demographic distribution, a principal decides to examine the racial/ethnic distribution of the 350 students in his school in comparison to the district's distribution.
    1. the z-score test.
    2. the z-test.
    3. the single sample t-test.
    4. the independent t-test.
    5. the dependent t-test.
    6. one-way analysis of variance.
    7. Pearson r.
    8. Spearman rS.
    9. one-variable chi-square.
    10. two-variable chi-square.

  6. The faculty in a large liberal arts college feel that the psychology professors get paid more than faculty in other departments. The professors want to test whether the mean annual income of psychology professors is significantly higher than that of faculty in all the other departments combined.
    1. the z-score test.
    2. the z-test.
    3. the single sample t-test.
    4. the independent t-test.
    5. the dependent t-test.
    6. one-way analysis of variance.
    7. Pearson r.
    8. Spearman rS.
    9. one-variable chi-square.
    10. two-variable chi-square.

  7. The students in a first-grade class are practicing classification and counting using colored candy. The teacher contacts the manufacturer of the candy to find out if a controlled ratio of the colors of the candy is maintained by the manufacturer. The manufacturer informs the teacher that they follow a strict five-color ratio. To test whether the "typical" bag of candies represents the color ratio advertised by the manufacturer, the first graders enlist the help of the seventh graders who are learning statistics. The first-graders take 10 large bags of the candy and select at random 100 candies from these bags. Next, the students classify the 100 candies into five piles by color and count the number of candies in each pile. The first-graders and their older peers then determine whether their randomly-selected candies representing the distribution of five colors accoring to the manufacture specifications.
    1. the z-score test.
    2. the z-test.
    3. the single sample t-test.
    4. the independent t-test.
    5. the dependent t-test.
    6. one-way analysis of variance.
    7. Pearson r.
    8. Spearman rS.
    9. one-variable chi-square.
    10. two-variable chi-square.

  8. Two second-grade teachers who teach similar classes decide to test a new method for teaching spelling. To determine if the new method enables students to spell better, a study is conducted by the two teachers. Each week, the students in both classes learn how to spell the same 10 new words. For two weeks, one teacher uses the new approach while the other teacher used the traditional approach. At the end of each week, the same 10-word test is given to the students in both classes. The score for each student is the combined number of words spelled correctly on the two 10-word spelling tests. The mean of the scores obtained by the class using the traditional approach is compared to the mean of the scores obtained by the class using the new approach.
    1. the z-score test.
    2. the z-test.
    3. the single sample t-test.
    4. the independent t-test.
    5. the dependent t-test.
    6. one-way analysis of variance.
    7. Pearson r.
    8. Spearman rS.
    9. one-variable chi-square.
    10. two-variable chi-square.

  9. After working with middle-school students for a number of years, the school's social worker has noticed that certain students who seem to do quite well in one subject may not do as well in other subjects. To further investigate this phenomenon, the social worker selects at random 10 sixth-grade students and asks the students' English teacher to rank-order them on their academic performance from the highest achiever (1) to the lowest achiever (10). The same task is given to the students' mathematics teacher. The social worker wants to find out if there is an agreement between the two rank-orders assigned by the two teachers to each of the 10 students.
    1. the z-score test.
    2. the z-test.
    3. the single sample t-test.
    4. the independent t-test.
    5. the dependent t-test.
    6. one-way analysis of variance.
    7. Pearson r.
    8. Spearman rS.
    9. one-variable chi-square.
    10. two-variable chi-square.

  10. Many English teachers cite research showing that sudents who use computers for word processing write longer essays compared to students using pencil and paper. Based on this research, a junior high school decides to introduce computers to seventh-grade students in their English classes. Before introducing computers into all the seventh-grade English classes, a study is conducted in which the students in two seventh-grade classes spend four weeks learning the computer keyboard and mastering a word processing program. The students in one class are then asked to write an essay using a word-processing program, while the students in the other class are asked to write essays on the same topic using pencil and paper. The measured variable is the length of the essays, measured as the number of words.
    1. the z-score test.
    2. the z-test.
    3. the single sample t-test.
    4. the independent t-test.
    5. the dependent t-test.
    6. one-way analysis of variance.
    7. Pearson r.
    8. Spearman rS.
    9. one-variable chi-square.
    10. two-variable chi-square.

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