1)Robin works as a server in a small restaurant, where she can earn a tip (extra money) from each customer sheserves. The histogram below shows the distribution of her 60 tip amounts for one day of work.
Write a few sentences to describe the distribution of tip amounts for the day shown.
One of the tip amounts was $8. If the $8 tip had been $18, what effect would the increase have had on the following statistics? Justify your answers.
The mean:
The median:
Part B:
6)A newspaper in Germany reported that the more semesters needed to complete an academic program at theuniversity, the greater the starting salary in the first year of a job. The report was based on a study that used arandom sample of 24 people who had recently completed an academic program. Information was collected onthe number of semesters each person in the sample needed to complete the program and the starting salary, inthousands of euros, for the first year of a job. The data are shown in the scatterplot below.
Does the scatterplot support the newspaper report about number of semesters and starting salary? Justify your answer.
The table below shows computer output from a linear regression analysis on the data.
Identify the slope of the least-squares regression line, and interpret the slope in context.
An independent researcher received the data from the newspaper and conducted a new analysis by separating the data into three groups based on the major of each person. A revised scatterplot identifying the major of each person is shown below.
Based on the people in the sample, describe the association between starting salary and number of semesters for the business majors.
Based on the people in the sample, compare the median starting salaries for the three majors.
Based on the analysis conducted by the independent researcher, how could the newspaper report be modified to give a better description of the relationship between the number of semesters and the starting salary for the people in the sample?