Aurora, Nevada, was a mining boomtown in the 1860s and 1870s. Its population can be modeled as (-7.913 + 120.96t2 + 193.92t – 123.21 (45,544(0.8474*) when 0.7 s ts 13 p(t) = when 13
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![Aurora, Nevada, was a mining boomtown in the 1860s and 1870s. Its population can be modeled as
(-7.913 + 120.96t2 + 193.92t – 123.21
(45,544(0.8474*)
when 0.7 s ts 13
p(t) =
when 13 <ts 55
where p is measured in people and rate-of-change function
-23.73t2 + 241.92t + 193.92
when 0.7 s t< 13
p'(t) =
7-7541.28(0.8474*)
when 13 < ts 55
where p' is measured in people per year. In both functions, t is the number of years since 1860.t
(a) What was the average population of Aurora between 1863 and 1873? (Round your answer to the nearest integer.)
people
(b) What what the average rate of change of the population of Aurora between 1863 and 1873? (Round your answer to two decimal places.)
people per year](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ad87420-52d2-4e34-815e-eb9bcb5c95c0%2Fd2f9d83f-7761-4fc8-9022-cb482033f756%2Fy8wzne.png&w=3840&q=75)
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