A British study (North, Shilcock, and Hargreaves, 2003) examined whether the type of background music playing in
Question:
A British study (North, Shilcock, and Hargreaves, 2003) examined whether the type of background music playing in a restaurant affected the amount of money that diners spent on their meals. The researchers asked a restaurant to alternate silence, popular music, and classical music on successive nights over 18 days. Each type of music was played for six nights (the order was randomly determined to guard against confounding). The data file RestaurantMusic gives the type of music played and the amount spent on food and drinks (in British pounds) for each customer.
a. Report the sample means and standard deviations for the amount spent on food and drinks for each music type.
b. What is the response variable and explanatory variable? What are the experimental units?
c. Construct dotplots, stacked by the three different treatments of music, of amounts spent on food and drink.
d. Use a simulation-based approach to analyze the data. Be sure to state the relevant hypotheses, a p-value, and an appropriate conclusion.
e. State and check validity conditions to see whether you can run a theory-based ANOVA test. Be sure to explain how you are checking.
f. If appropriate, carry out the theory-based test of significance. Be sure to report the p-value.
g. If a significant result was found, construct additional follow-up confidence intervals to see where differences between the groups are. Report and interpret 95% confidence intervals.
h. How do your results compare from parts (d) and (f)?
i. In both cases, what are your scope of conclusions? As in, “To whom can the results of the study be generalized?”
Step by Step Answer:
Introduction To Statistical Investigations
ISBN: 9781118172148
1st Edition
Authors: Beth L.Chance, George W.Cobb, Allan J.Rossman Nathan Tintle, Todd Swanson Soma Roy