Question

A survey of a random sample of 400 Telfer undergraduate students in third or fourth year was carried out to gather information for research about student life. Questions were asked about demographic characteristics, grades, study habits, and leisure activities. Here are some of the variables for which data were collected (they are labeled V1 through V9. for convenience). Assume that quantitative variables are normally distributed • V1: First-year overall grade (percent) • V2: Gender (1 male, 2-female) • V3: Opinion of Telfer support services (1-poor, 2-fair, 3 -good, 4-excellent) • V4: Second-year overall grade (percent) • V5: Any paid part-time work? (1-yes, 2-no) • V6: Mode of travel to school (1-сar, 2-transit, 3-bicycle, 4-walk/live on campus) • V7: Total study time per week (hours) • V8: Monthly amount spent on recreational activities (dollars) V9: Are you a regular Facebook user? (1-yes, 2-no) For each of the following research questions, suggest which of the techniques we have studied in class could be used to address the question. A list of techniques to choose from is enumerated below. Select the number of the most appropriate technique from the drop-down list on the left of each research question. Can second-year overall grade (V4) be explained by study hours (V7) and amount spent on recreational activities (VB)? Is gender (V2) related to opinion about Telfer support services (V3)? Is the rate of Facebook users (V9) different from the 1. One-sample z-test of a proportion overall percentage in Canada? 2. Two-sample 2-test of two proportions Is the average study time V7) the same for males and 3. One-sample t-test of a mean females (V2)? 4. Two-sample t-test of two Is mode of travel (V6) independent means related to study hours (77)? 5. Matched pairs t-test of two Is second-year overall grade dependent means (V4) related to study hours 6. Chi-square test of independence Does monthly expenditure on recreational activities 7. Simple linear regression (V8) exceed $250? & Multiple regression Are there equal percentages of males and females (V2 9. One-way analysis of variance who do paid part-time work (V5)? Two answers are possible here only one is needed. Please indicate the appropriate technique covered earlier in the term. (V712 Are first year overall grades (V1) and second-year overall grades (V4) different on average?

Answer 1

The answers are provided for the statements below in appropriate order.

Multiple regression.

Chi square test of independence

One sample z test of a proportion.

Two sample t test of two independent means

One way analysis of variance.

Simple linear regression

One sample t test of a mean

Two sample z test of two proportions.(Test for proportion)

Matched pair t test of two dependent means.

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