A researcher is interested in the mean age of convention attendees. They believe that the average age of convention attendees would be greater than 42. They randomly selected 49 attendees from a roster and collected their age. The mean age of those sampled was 44, with a standard deviation of 15.

What is the research question?

What is the population?

What is the sample?

What is the parameter of interest?

What are the observational units?

What is the sample size?

What is the sample statistic?

Is the variable of interest quantitative or categorical? Explain.

State the null and alternative hypothesis in words and symbols.

Can a theory-based approach be used in this situation? Explain.

Calculate the standardized statistic, and round to two decimal places. Show your work.

State what the standardized statistic means in the context of this problem.

Would you reject or fail to reject the null hypothesis? Why?

Interpret your results in the context of this problem.

Based on your results, what type of error could have been committed? Explain the error in the context of this problem.

How would your standardized statistic change if the researcher believed the average age was greater than 40 instead of greater than 42? Explain.

Calculate the confidence interval using the 2SD method, and state what it means in the context of this problem. Show your work.

Is the value of 42 within your interval? Explain how this relates to the value for your standardized statistic.

Does this survey involve random sampling and/or random assignment*? Explain.

Can these results be generalized to the entire convention? Explain.