Scenario: Data from the Motor Vehicle Department indicate that 80% of all licensed drivers are older than age 25. Information on the age of n = 50 people who recently received speeding tickets was sourced by researchers who are interested in whether the age distribution for the sample of drivers who recently received speeding tickets is different from the age distribution for the population of licensed drivers.

Datafile: age data.csv

Proposed analysis and why you chose the analysis:

Scales of measurement (i.e., nominal, ordinal, interval or ratio) for variable(s) that will be used in the analysis:

Null and alternative hypotheses (based on context of study) in symbols:

Test assumptions and make a decision (please provide written evidence to support your decision):

Inferential statistic(s) and p-value(s):

Decision:

Conclusion:

Based on your decision, identify and explain the type of error you could be making with respect to the conclusions of the study

Scenario: Album Sales: A study was done to see whether getting radio airtime and spending money on advertisements accurately predicts the number of album copies sold. A random sample of 200 artists’ albums were tracked on the number of times their songs play on the central radio station, how much money (in thousands) they spent on advertisements, as well as the number (in thousands) of album copies were sold. A record company wanted to determine if there was a positive relationship between number of albums sold and the other two variables (money spent on advertisements and number of times an album played).

Datafile: album sales.csv

Proposed analysis and why you chose the analysis:

Scales of measurement (i.e., nominal, ordinal, interval or ratio) for variable(s) that will be used in the analysis:

Null and alternative hypotheses (based on context of study) in symbols:

Test assumptions and make a decision (please provide written evidence to support your decision):

Inferential statistic(s) and p-value(s):

Decision:

Conclusion:

Based on your decision, identify and explain the type of error you could be making with respect to the conclusions of the study

Scenario: A study was conducted to explore the prevalence and impact of sleep problems on various aspects of people's lives. Staff from a university in Melbourne, Australia were invited to complete a questionnaire containing questions about their sleep behaviour (e.g. hours slept per night), sleep problems (e.g. difficulty getting to sleep) and the impact that these problems have on aspects of their lives (work, driving, relationships). The sample consisted of 271 respondents (55% female, 45% male) ranging in age from 18 to 84 years (M=43.9yrs). A student researcher is interested in examining whether the participants in the study sleep for 8 hours a night, the recommended average for adults.

Datafile: sleep data.csv

Proposed analysis and why you chose the analysis:

Scales of measurement (i.e., nominal, ordinal, interval or ratio) for variable(s) that will be used in the analysis:

Null and alternative hypotheses (based on context of study) in symbols:

Test assumptions and make a decision (please provide written evidence to support your decision):

Inferential statistic(s) and p-value(s):

Decision:

Conclusion:

Based on your decision, identify and explain the type of error you could be making with respect to the conclusions of the study