Is the average number of people visiting Kensington Metropark daily in the Fall
ID: 3065306 • Letter: I
Question
Is the average number of people visiting Kensington Metropark daily in the Fall the same as the average number of people visiting daily in the Spring? To find out, the number of people visiting Kensington Metropark was recorded every other day during the Fall for a total of 25 days and the sample mean number of visitors daily was computed from this Fall data. In addition, the number of people visiting Kensington Metropark was recorded every third day during the Spring for a total of 20 days, after which the sample mean number of visitors daily was computed from this Spring data This is an independent samples scenario, because the observations were not paired (i.e., there was no matching of a day in the fall when a number of visitors was recorded with a day in the spring when a number of visitors was recorded). So we wish to compare the sample of data collected for the 25 fall days, as a whole, to the sample of data collected for the 20 spring days. Question 2 Subquestions 2.a Clearly formulate the randomness assumption to be checked in this case. 1 point(s) The sample of the number of people per day visiting Kensington Metropark for the 45 selected days is a random sample. The sample of the number of people per day visiting Kensington Metropark for the 25 selected fall days is a random sample. The sample of the number of people per day visiting Kensington Metropark for the 20 selected spring days is a random sample. The sample of the differences in the number of people per day visiting Kensington Metropark (fall less spring) is a random sample. The population of the differences in the number of people per day visiting Kensington Metropark (fall less spring) is a random sample The population of the number of people per day visiting Kensington Metropark in spring is a random sample. The population of the number of people per day visiting Kensington Metropark in the fall is a random sample. The population of the number of people per day visiting Kensington Metropark is a random sample.Explanation / Answer
2.a) Clerly formulate the randomness assumption to be checked in this case.
Answer: The population of the number of people per day visting Kensington Metropark is a random sample.
2.b) i) QQ plot for the number of people per day visiting Kensington Metropark for the 25 selected fall days.
ii) QQ plot for the number of people per day visiting Kensington Metropark for the 20 selected spring days.
iii) Histogram for the number of people per day visiting Kensington Metropark for the 25 selected fall days.
iv) Histogram for the number of people per day visiting Kensington Metropark for the 25 selected spring days.
2.c) i) The sample of the number of people per day visiting Kensington Metropark for the 25 selected fall days is normally distributed.
ii) The sample of the number of people per day visiting Kensington Metropark for the 25 selected spring days is normally distributed.
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