The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 65 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. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected person at the hot springs stays longer then 90 minutes. c. The park service is considering offering a discount for the 7% 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question 16
Question 16
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 65
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. Round all answers to 4 decimal places
where possible.
a. What is the distribution of X? X - N(
>
b. Find the probability that a randomly selected person at the hot springs stays longer then 90 minutes.
c. The park service is considering offering a discount for the 7% 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.
d. Find the Inter Quartile Range (IQR) for time spent at the hot springs.
Q1:
minutes
Q3:
IQR:
minutes
minutes
Check Answer
Transcribed Image Text:Question 16 The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 65 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. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( > b. Find the probability that a randomly selected person at the hot springs stays longer then 90 minutes. c. The park service is considering offering a discount for the 7% 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. d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. Q1: minutes Q3: IQR: minutes minutes Check Answer
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