Suppose that during an unexpected snowstorm, Mr. Wong decided totake a random sample of students in his AP Statistics class toexamine their arrival times, in minutes. He compared the differencebetween the students' arrival time with the time the class wassupposed to begin.
Mr. Wong asks you, his assistant, to use the information belowto answer the following questions (negative value meansthat the student arrived BEFORE class began).
Number of students | 30 |
Mean | -1.067 |
Q1 | -24 |
Q3 | 18 |
Q2 | -10.5 |
Min | -41 |
Max | 53 |
Variance | 765.78850575713 |
Standard deviation | 27.67288394344 |
* Please do not copy other experts' solutions, thankyou!
Question A: Mr. Wong would like to determine ifhis students arrive to class late on average. He asks you toperform a hypothesis test @ 10% significance level. Clearly statethe conclusion you would tell Mr. Wong using a critical value.
Question B:
i) Mr. Wong asks you to calculate a 90% confidence interval forthe average difference in time.
ii) Interpret the interval you calculated.
iii) Based on the interval, what can you say about Mr. Wong's APStatistics class's arrival time?
Question C: Did you expect the conclusion inQuestion B to be the same as the conclusion in Question A? Explainwhy or why not.
