Suppose that the amount of time that students spend studying in the library in one sitting is normallydistributed with mean 48 minutes and standard deviation 17 minutes. A researcher observed 46 studentswho 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 ? i - N(c. What is the distribution of > æ? >aN(d. If one randomly selected student is timed, find the probability that this student's time will bebetween 49 and 51 minutes.e. For the 46 students, find the probability that their average time studying is between 49 and 51minutes.f. Find the probability that the randomly selected 46 students will have a total study time more than2024 minutes.g. For part e) and f), is the assumption of normal necessary? O NoO Yesh. The top 20% of the total study time for groups of 46 students will be given a sticker that says "Greatdedication". What is the least total time that a group can study and still receive a sticker?minutes

Answered: Image /qna-images/answer/d4905dcd-221e-4262-9bb0-8ab3364e0ee6.jpg

Answered: Suppose that the amount of time that…

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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In 1940 the average size of a U.S. farm was 174 acres. Let's say that the standard deviation was 58 acres. Suppose we randomly survey 41 farmers from 1940. The middle 50% of the distribution for X, the bounds of which form the distance represented by the IQR, lies between what two values? (Round your answers to two decimal places.)
The mean height of an adult giraffe is 19 feet. Suppose that the distribution is normally distributed with standard deviation 1 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. What is the median giraffe height? ft.c. What is the Z-score for a giraffe that is 20 foot tall? d. What is the probability that a randomly selected giraffe will be shorter than 18.1 feet tall? e. What is the probability that a randomly selected giraffe will be between 18.7 and 19.5 feet tall? f. The 70th percentile for the height of giraffes is ft.
The mean is 146 and the standard deviation is 35. A score of 41 is how many z-scores below the mean?
Suppose the age that children learn to walk is normally distributed with mean 11 months and standard deviation 2 month. 34 randomly selected people were asked what age they learned to walk. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 11 b. What is the distribution of x? a - N( 11 0.3440 c. What is the probability that one randomly selected person learned to walk when the person was between 10.6 and 11.3 months old? 0.1389 d. For the 34 people, find the probability that the average age that they learned to walk is between 10.6 and 11.3 months old. e. For part d), is the assumptiSnter an integer or decimal number, accurate to at least 4 decimal places [more..] f. Find the IQR for the average first time walking age for groups of 34 people. Q1 = months %3D Q3 = months %3D IQR: months Hint: Some Helpful Videos: Finding the Sampling Distribution (+1 Finding a Probability Using the Central Limit Theorem D [+1 Finding Value Given a Probability…
On average, indoor cats live to 13 years old with a standard deviation of 2.3 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible. a. What is the distribution of X? X NO b. Find the probability that an indoor cat dies when it is between 10.2 and 11.8 years old. c. The middle 40% of indoor cats' age of death lies between what two numbers? Low: years High: years
Suppose that the scores on a reading ability test are normally distributed with a mean of 70 and a standard deviation of 9. What proportion of individuals score at most 85 points on this test? Round your answer to at least four decimal places.
On average, indoor cats live to 14 years old with a standard deviation of 2.7 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible.A. The middle 50% of indoor cats' age of death lies between what two numbers? Low: years High: years
The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 1 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(,)b. What is the median giraffe height? ft.c. What is the Z-score for a giraffe that is 20 foot tall? d. What is the probability that a randomly selected giraffe will be shorter than 16.8 feet tall? e. What is the probability that a randomly selected giraffe will be between 16.8 and 17.6 feet tall? f. The 70th percentile for the height of giraffes is ft
The patient recovery time from a particular surgical procedure is normally distributed with a mean of 4 days and a standard deviation of 1.9 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 4 1.9 b. What is the median recovery time? days c. What is the Z-score for a patient that took 5.6 days to recover? d. What is the probability of spending more than 3.7 days in recovery? e. What is the probability of spending between 3.1 and 4.1 days in recovery? f. The 90th percentile for recovery times is days. Hint: Helpful videos: • Find a Probability 2 [+] Finding a Value Given a Probability 2 [+] Hint 2
Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 45 minutes and standard deviation 22 minutes. A researcher observed 11 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 ? I ~ N( c. What is the distribution of Σx? Σx ~ N( I d. If one randomly selected student is timed, find the probability that this student's time will be between 40 and 44 minutes. e. For the 11 students, find the probability that their average time studying is between 40 and 44 minutes. f. Find the probability that the randomly selected 11 students will have a total study time more than 583 minutes. g. For part e) and f), is the assumption of normal necessary? Yes No h. The top 15% of the total study time for groups of 11 students will be given a sticker that says "Great dedication". What is the least total time that a group…
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