One of the authors came across an article (USA Today, 2008) thatsaid that on average Americans have visited 16 states in the UnitedStates. In a survey of 50 students in her introductory statisticsclass, she found the average number of states the students hadvisited to be 9.48 and the standard deviation to be 7.13. The datawere not strongly skewed.​
1. Identify the observational unit for this study.
a. students
b. Americans
c. number of states
2. Identify the variable of interest and whether it iscategorical or quantitative.
a. number of U.S. states visited, categorial
b. number of students, quantitative
c. number of students, categorial
d. number of U.S. states visited, quantitative
3. Regardless of your answer to part (c), state the null and thealternative hypotheses in symbols, to test whether the averagenumber of states all students at the author’s school have visitedis different from 16.
a. H0: mu = 16, Ha: mu ≠16
b. H0: mu = 16, Ha: mu > 16
c. H0: mu = 16, Ha: mu < 16
4. Using the 2SD approach to find a 95% confidence interval forthe average number of states all students at the author’s schoolhave visited. Round to two decimalplaces