The image contains a problem related to the distribution of study times for students in a library setting. Here's a transcription suitable for an educational website:---**Problem Context:**Suppose that the amount of time students spend studying in the library in one sitting is normally distributed with a mean of 40 minutes and a standard deviation of 19 minutes. A researcher observed 13 students who entered the library to study. Round all answers to 4 decimal places where possible.**Questions:**a. What is the distribution of \( X \)? \( X \sim N(40, 19) \) b. What is the distribution of \( \bar{x} \)? \( \bar{x} \sim N(40, 5.2697) \) c. What is the distribution of \( \sum x \)? \( \sum x \sim N(520, 68.7805) \) *(Note: the text box contains \(\times\)) d. If one randomly selected student is timed, find the probability that this student's time will be between 41 and 45 minutes. [Enter answer in textbox]e. For the 13 students, find the probability that their average time studying is between 41 and 45 minutes. [Enter answer in textbox]f. Find the probability that the randomly selected 13 students will have a total study time more than 507 minutes. [Enter answer in textbox]g. For parts (e) and (f), is the assumption of normal necessary? Options: Yes [✓] No [ ]h. The top 20% of the total study time for groups of 13 students will be given a sticker that says "Great dedication". What is the least total time that a group can study and still receive a sticker? [Enter answer in textbox] minutes**Hint:**Some Helpful Videos:- [Link to video resources would be included on an actual webpage]---This transcription lays out the problems and the corresponding distribution notations required to solve statistical questions about the given scenario.

Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

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 19 minutes. A researcher observed 13 studer who entered the library to study. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( 40 19 b. What is thę distribution of a? a N( 40 5.2697 c. What is the distribution of x? a - N( 520 247 X) o d. If one randomly selected student is timed, find the probability that this student's time will be between 41 and 45 minutes. e. For the 13 students, find the probability that their average time studying is between 41 and 45

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 19 minutes. A researcher observed 13 studer who entered the library to study. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( 40 19 b. What is thę distribution of a? a N( 40 5.2697 c. What is the distribution of x? a - N( 520 247 X) o d. If one randomly selected student is timed, find the probability that this student's time will be between 41 and 45 minutes. e. For the 13 students, find the probability that their average time studying is between 41 and 45

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The mean height of an adult giraffe is 17 feet. Suppose that the distribution is normally distributed with standard deviation 0.8 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 19 foot tall? d. What is the probability that a randomly selected giraffe will be shorter than 17.7 feet tall? e. What is the probability that a randomly selected giraffe will be between 16 and 16.9 feet tall? f. The 90th percentile for the height of giraffes is ft.
4. Which proportion of a normal distribution is located between the mean and z = +1.40? 5. A vertical line drawn through a normal distribution at z = +2.11 separates the distribution into two sections, the body and the tail. Which proportion of the distribution is in the tail?
The mean height of an adult giraffe is 19 feet. Suppose that the distribution is normally distributed with. standard deviation 0.9 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 20.5 foot tall? d. What is the probability that a randomly selected giraffe will be shorter than 18.8 feet tall? e. What is te probability that a randomly selected giraffe will be between 18.8 and 19.6 feet tall? f. The 70th percentile for the height of giraffes is ft.
The avg. … (please complete only part c and d the rest is completed)
please answer d. e. and f.
I answered A,B AND C. I NEED HELP TO SOLVE PROBLEM NUMBER D,E AND F ONLY
The average production cost for major movies is 58 million dollars and the standard deviation is 20 million dollars. Assume the production cost distribution is normal. Suppose that 48 randomly selected major movies are researched. Answer the foling questions. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N ---------, ------------- b. What is the distribution of x̄? x̄ ~ N -----------, ----------- c. For a single randomly selected movie, find the probability that this movie's production cost is between 57 and 60 million dollars. -------------- d. For the group of 48 movies, find the probability that the average production cost is between 57 and 60 million dollars. --------------- e. For part d), is the assumption of normal necessary? --------------------Yes, -------------No NOTE..........QUESTION (D) AND (E) NEEDS TO BE ANSWERED
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…
please answer d, e,f
Longevities of archbishops and monarchs 15 Archbishops 17 16 15 18 16 19 12 15 13 12 12 13 15 14 18 14 10 17 13 16 15 Monarchs 17 17 13 14 20 19 21 15 17 18 17 18 Print Done
Help with c and d
Need A B C