A drug trial had 215 participants. A survey was done to gather information about the participants' experiences with side effects. The table below gives the results for two possible side effects. Had anxiety but not drowsiness Had drowsiness but not anxiety Had anxiety or drowsiness (or both) Construct a Venn diagram illustrating these results. Then answer the questions. All participants in the survey Number of participants 26 145 171 Had anxi Had drowsiness How many participants had drowsiness? participants How many participants had both anxiety and drowsin participants

A warehouse manager wants to know if there is an association between the shift worked and being on time for work. To investigate, he selects a random sample of 70 workers and classifies each one according to the shift they worked most recently and whether they were on time for work. He was unable to classify a substantial number of people as being on time, so he classified those individuals as unknown. The data are displayed in the table.   The manager would like to know if these data provide convincing evidence of an association between the shift worked and being on time in the large population of all workers at this warehouse. The random and 10% conditions are met. Is the Large Counts condition met? Yes, the smallest expected count is 5, so all expected counts are at least 5. Yes, the smallest expected count is 8.54, so all expected counts are at least 5. No, the smallest expected count is 2.56, so the expected counts are not all at least 5. No, the smallest expected count is…

In a study assessing helping behavior among college students on their way to class, you recruit 10 students. You tell some participants that they are late for class and need to rush. You tell others they are right on time. Finally, you tell others they have lots of time before class. As they walk across campus, they come across a man (actually a confederate) who appears to need help. You measure the extent to which the participant noticed that the confederate needed help (1 = did not notice to 9 = really noticed). Which hypothesis test would you calculate? F test Independent sample t-test z test Dependent sample t-test

Is there a relation between incidents of child abuse and number of runaway children? A random sample of cities (over 10,000 population) gave the following information about the number of reported incidents of child abuse and the number of runaway children. (Reference: Federal Bureau of Investigation, U.S. Department of Justice.) City 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Abuse cases 113 33 41 60 52 99 31 56 15 67 106 59 45 74 84 Runaways 648 188 285 687 421 590 284 277 162 473 600 432 317 580 592 Use a 1% level of significance to test the claim that there is a monotone-increasing relationship between the ranks of incidents of abuse and number of runaway children. (a) Rank-order abuse using 1 as the largest data value. Also rank-order runaways using 1 as the largest data value. Then construct a table of ranks to be used for a Spearman rank correlation test. City Abuse CasesRank x RunawaysRank y d = x - y d2 123456789101112131415 Σd2 =  (b) What is the level of…

Provide an appropriate response. Suppose you were to collect data for the pair of given variables in order to make a scatterplot. For the variables time spent on homework and exam grade, which is more naturally the response variable and which is the explanatory variable? O Time spent on homework: response variable Exam grade: explanatory variable O Time spent on homework: explanatory variable Exam grade: response variable

We discuss how to test for an association between two categorical variables in Section 6.8. A marine research team records the number of fish from 3 species that they find at different depth categories in the ocean.   They are interested in assessing whether or not there is a relationship between the depth category (close to surface, mid-level, ocean floor) and the fish species found (species A, species B, species C). A two-way table showing the classification of a sample of 150 observations is given below.   If the variables for the ocean depth category and the species are independent, how would you calculate the expected number of fish that are at the mid-level and from species C? Expected number =

An educational psychologist is interested in whether using a child’s own name in a story affected attention span while reading. Six children were randomly assigned to read a story under ordinary conditions (using common and generic names). Five other children read versions of the same story, but with each child’s ownname substituted for one of the children in the story. The researcher measured the amount of time (in minutes) each child spent reading the story. The results are shown in the following table. Does including the child’s namemake any difference in attention span?   Test the hypothesis at an alpha set to .05, following these steps: a) write the null and alternative hypotheses; b) determine the critical value(s); c) draw the comparison distribution with rejection region(s) shaded; d)use the correct formula to compute the test statistic; e) state the statistical decision; f) state a brief conclusion.

You are a manager for Company ABC and decide to compile data and analyze your employees’ level of satisifaction. You create a survey to ask each employee to rate their level of satisfaction working at Company ABC. Table 1 shows data of 15 people employees that responded to your survey. Each of the employees have the same job title: Sales Representative. The data set includes variables regarding an employee ID, gender, ethnicity, region, pay rate, employee satisfaction rating. Each employee was asked to rate their level of satisfaction working at Company ABC. A composite score from 0 (lowest) to 5 (highest) is shown as the data variable employee satisfaction. Table 1: Employee Data on 15 Sales Representatives at Company ABC

An appropriate measure of association for wondering whether gender (male =1, female =2) has an effect on happiness( not too happy =1, pretty happy =2, and very happy =3) would be?