The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 78 minutes and a standard deviation of 17 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs. ) (Formatting hint: N(mean, sd) where N a. What is the distribution of X? X - N = "Normal") b. Find the probability that a randomly selected person at the hot springs stays longer than 74 minutes. (Round answer to four decimal places) c. The park service is considering offering a discount for the 4% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? minutes. (Round answer to one decimal place) d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. (Round answers to one decimal place) Q1: Q3: IQR: Hint: Helpful videos: minutes minutes minutes Find a Probability [1 4))) D 6:30 PM 6/30/2022

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Q10
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 78
minutes and a standard deviation of 17 minutes. Suppose one person at the hot springs is randomly chosen.
Let X = the amount of time that person spent at Grover Hot Springs.
a. What is the distribution of X? X - N
= "Normal")
b. Find the probability that a randomly selected person at the hot springs stays longer than 74 minutes.
(Round answer to four decimal places)
c. The park service is considering offering a discount for the 4% of their patrons who spend the least time
at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still
receive the discount?
minutes. (Round answer to one decimal place)
d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. (Round answers to one decimal
place)
Q1:
Q3:
IQR:
Hint:
Helpful videos:
minutes
) (Formatting hint: N(mean, sd) where N
minutes
minutes
Find a Probability [1
4) D
6:30 PM
6/30/2022
Transcribed Image Text:The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 78 minutes and a standard deviation of 17 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs. a. What is the distribution of X? X - N = "Normal") b. Find the probability that a randomly selected person at the hot springs stays longer than 74 minutes. (Round answer to four decimal places) c. The park service is considering offering a discount for the 4% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? minutes. (Round answer to one decimal place) d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. (Round answers to one decimal place) Q1: Q3: IQR: Hint: Helpful videos: minutes ) (Formatting hint: N(mean, sd) where N minutes minutes Find a Probability [1 4) D 6:30 PM 6/30/2022
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