Question
In: Statistics and Probability
Suppose the daily number of parking tickets issued on campus has a mean of 1.4 tickets...
Suppose the daily number of parking tickets issued on campus has a mean of 1.4 tickets and a standard deviation 1.2 tickets.
a) If we consider a semester as a random sample of 80 days, give the properties (and provide a sketch) for the sampling distribution for the sample mean number of tickets per day.
b) Find the probability the semester will have a sample mean of more than 1.5 tickets per day.
c) Could the population of tickets issued on individual days have a normal distribution? Explain why or why not.
Solutions
Expert Solution
a)
The intervals corresponding to one, two and three standard deviations respectively is
Following is the sketch of normal distribution:
(b)
c)
The population of tickets issued on individual days may not be normal distribution. Some day number of tickets issued will be much larger from other days while for some days number of tickets issued will be much smaller than from other days. There may be some outliers of data. So it may not normal.
orchestra answered 1 year agoRelated Solutions
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