c. The school is considering offering a discount for the 7% of their patrons who spend the least time at the Arboretum. What is the longest amount of time a patron can spend at the Arboretum and still receive the discount? minutes. d. Find the Inter Quartile Range (IQR) for time spent at the Arboretum.
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.
![The Fullerton Arboretum is a wonderful place to
visit. It is located on the CSUF campus. The amount
of time spent at the Arboretum is normally
distributed with a mean of 77 minutes and a
standard deviation of 15 minutes. Suppose one
person at the Arboretum is randomly selected. Let X
the amount of time that person spent at the
Fullerton Arboretum. Round all answers to 4 decimal
places where possible.
a. What is the distribution of X? X - N( 77
15
b. Find the probability that a randomly selected
person at the Fullerton Arboretum stays longer then
70 minutes. 0.6796
c. The school is considering offering a discount for
the 7% of their patrons who spend the least time at
the Arboretum. What is the longest amount of time a
patron can spend at the Arboretum and still receive
the discount?
minutes.
d. Find the Inter Quartile Range (IQR) for time spent
at the Arboretum.
Q1:
minutes
Q3:
minutes
IQR:
minutes](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6ee6c1af-adde-424f-bb4c-5af98601ff50%2F457f713f-7b96-480a-ba8a-ddbe22b65258%2Fslns3c_processed.jpeg&w=3840&q=75)
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