The average amount of money spent for lunch per person in the college cafeteria is $5.74 and the standarddeviation is $2.52. Suppose that 45 randomly selected lunch patrons are observed. Assume the distributionof money spent is normal, and round all answers to 4 decimal places where possible.a. What is the distribution of X? X N 5.742.52b. What is the distribution of ? N 5.740.3757c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost isbetween $5.7665 and $6.3244. 0.0875d. For the group of 45 patrons, find the probability that the average lunch cost is between $5.7665 and$6.3244. 0.2333Xe. For part d), is the assumption that the distribution is normal necessary? Yes No o

The objective of the question is to understand the distribution of the lunch cost for a single…

Answered: The average amount of money spent for…

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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Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 43 minutes and standard deviation 20 minutes. A researcher observed 49 students who entered the library to study. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 43 20 b. What is the distribution of x? ¤ - N( 43 2.8571 v) o c. What is the distribution of æ? x - N( 2107 d. If one randomly selected student is timed, find the probability that this student's time will be 140 between 44 and 47 minutes. .0593 e. For the 49 students, find the probability that their average time studying is between 44 and 47 minutes. .2824 f. Find the probability that the randomly selected 49 students will have a total study time more than 2156 minutes. .3632 g. For part e) and f), is the assumption of normal necessary? NoO Yes o h. The top 20% of the total study time for groups of 49 students will be given a sticker that says "Great…
D, e, f and h
The avg. … (please complete only part c and d the rest is completed)
Suppose that speed at which cars go on the freeway is normally with 71 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places were possible.
Suppose that the number of Facebook friends users have is normally distributed with a mean of 149 and a standard deviation of about 41. Assume fifteen individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of x̄? x̄ - N -----------, ---------- b. For the group of 15, find the probability that the average number of friends is less than 156. ------------- c. Find the first quartile for the average number of Facebook friends. Round to 2 decimals places. --------------- d. For part b), is the assumption that the distribution is normal necessary? ------------No, --------- yes
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 74 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 85 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 (1QR) for time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutes
Suppose that the speed at which cars go on the freeway is normally distributed with mean 67 mph and standard deviation 6 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N 67 b. If one car is randomly chosen, find the probability that it is traveling more than 64 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 68 and 72 mph. d. 83% of all cars travel at least how fast on the freeway? mph. Add Work Check Answer
On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 101 and a standard deviation of 18. Suppose one individual is randomly chosen. Let X = IQ of an individual. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected person's IQ is over 101. Round your answer to 4 decimal places. c. A school offers special services for all children in the bottom 7% for IQ scores. What is the highest IQ score a child can have and still receive special services? Round your answer to 2 decimal places. d. Find the Inter Quartile Range (IQR) for IQ scores. Round your answers to 2 decimal places. Q1: Q3: IQR:
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
V3qZFDvprW. Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 40 minutes and standard deviation 21 minutes. A researcher observed 48 students who entered the library to study. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of ? - N( С. c. What is the distribution of x? x - N( Gin... d. If one randomly selected student is timed, find the probability that this student's time will be between 35 and 37 minutes. e. For the 48 students, find the probability that their average time studying is between 35 and 37 minutes. f. Find the probability that the randomly selected 48 students will have a total study time more than 2064 minutes. g. For part e) and f), is the assumption of normal necessary? O Yes No h. The top 15% of the total study time for groups of 48 students will be given a sticker that says "Great dedication". What is the least total…
Help with c ,d and f
Need A B C

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