You want to see if the rat population is changing in New York City. You know the population count may change with the season and time of day. Your plan is to compare one date in one year to the same date another year, doing a count in subway stations for one hour at the same time each day for two weeks to average out weather effects. You don't have time to wait multiple years so have to come to a conclusion based on two years. The counts are as follows: Year 1: 8, 2, 58, 14, 2, 15, 38, 4, 18, 13, 31, 32, 7, 1 Year 2: 7, 65, 17, 20, 66, 33, 18, 5, 33, 33, 3, 80, 59, 11

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You want to see if the rat population is changing
in New York City. You know the population count
may change with the season and time of day.
Your plan is to compare one date in one year to
the same date another year, doing a count in
subway stations for one hour at the same time
each day for two weeks to average out weather
effects. You don't have time to wait multiple
years so have to come to a conclusion based on
two years. The counts are as follows:
Year 1: 8, 2, 58, 14, 2, 15, 38, 4, 18, 13, 31, 32, 7, 1
Year 2: 7, 65, 17, 20, 66, 33, 18, 5, 33, 33, 3, 80,
59, 11
Are these two populations different at the 95%
confidence level?
If you repeated a day of counting on year 2, what
would be the probability of seeing 100 rats?
Transcribed Image Text:You want to see if the rat population is changing in New York City. You know the population count may change with the season and time of day. Your plan is to compare one date in one year to the same date another year, doing a count in subway stations for one hour at the same time each day for two weeks to average out weather effects. You don't have time to wait multiple years so have to come to a conclusion based on two years. The counts are as follows: Year 1: 8, 2, 58, 14, 2, 15, 38, 4, 18, 13, 31, 32, 7, 1 Year 2: 7, 65, 17, 20, 66, 33, 18, 5, 33, 33, 3, 80, 59, 11 Are these two populations different at the 95% confidence level? If you repeated a day of counting on year 2, what would be the probability of seeing 100 rats?
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