The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 75 minutesand a standard deviation of 15 minutes. Suppose one person at the hot springs is randomly chosen. Let X = theamount of time that person spent at Grover Hot Springs. Round all answers to 4 decimal places wherepossible.a. What is the distribution of X? X - Nb. Find the probability that a randomly selected person at thehot springs stays longer then 88 minutes.c. The park service is considering offering a discount for the 4% of their patrons who spend the least time atthe hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive thediscount?minutes.d. Find the Inter Quartile Range (1QR) for time spent at the hot springs.Q1:minutesQ3:minutesIQR:minutesHint:

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The average American man consumes 9.7 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 1 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N Note: this shows 2 blank spots for answers
Please complete B & C thank you!
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 60 minutes and a standard deviation of 14 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 81 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: minutes IQR: minutes
I need help with b and c
Please only answer b c d
Suppose x has a distribution with ? = 90 and ? = 8. (a) If random samples of size n = 16 are selected, can we say anything about the x distribution of sample means? A. Yes, the x distribution is normal with mean ? x = 90 and ? x = 2. B. Yes, the x distribution is normal with mean ? x = 90 and ? x = 0.5. C. Yes, the x distribution is normal with mean ? x = 90 and ? x = 8. D. No, the sample size is too small. (b) If the original x distribution is normal, can we say anything about the x distribution of random samples of size 16? A. Yes, the x distribution is normal with mean ? x = 90 and ? x = 2. B. Yes, the x distribution is normal with mean ? x = 90 and ? x = 0.5. C. Yes, the x distribution is normal with mean ? x = 90 and ? x = 8. D. No, the sample size is too small. Find P(86 ≤ x ≤ 91). (Round your answer to four decimal places.)
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 64 minutes and a standard deviation of 14 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 57 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: minutes IQR: minutes
Please explain how to solve as well.
The average production cost for major movies is 57 million dollars and the standard deviation is 20 million dollars. Assume the production cost distribution is normal. Suppose that 46 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 57 20 b. What is the distribution of ? - N c. For a single randomly selected movie, find the probability that this movie's production cost is between 52 and 55 million dollars. 58 d. For the group of 46 movies, find the probability that the average production cost is between 52 and 55 million dollars. e. For part d), is the assumption of normal necessary? Yes No
please show steps for C. D. & E. thank you.
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 63 minutes and a standard deviation of 15 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 68 minutes. 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. d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutes
D,E, and F

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