Homework Help is Here – Start Your Trial Now!
Math
Statistics
1. The times it takes 5th graders to complete a particular mathematics problem are Normally distributed with mean 2 minutes and standard deviation 0.8 minutes. a) Find the probability that a randomly chosen 5th grader will take more than 2.5 minutes to complete the problem. Show your work. b) Suppose you give the problem to an SRS of 20 students. Sketch the sampling distribution of x. Then use this distribution to determine the probability that the mean time to complete the problem for the SRS of students is greater than 2.5 minutes. Show your work.

1. The times it takes 5th graders to complete a particular mathematics problem are Normally distributed with mean 2 minutes and standard deviation 0.8 minutes. a) Find the probability that a randomly chosen 5th grader will take more than 2.5 minutes to complete the problem. Show your work. b) Suppose you give the problem to an SRS of 20 students. Sketch the sampling distribution of x. Then use this distribution to determine the probability that the mean time to complete the problem for the SRS of students is greater than 2.5 minutes. Show your work.

MATLAB: An Introduction with Applications
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
icon
Related questions
Question

Can you solve the question below?

AP Statistics Unit 5: Sampling Distributions for Proportions Empodoltani Period A S/M Date Submitted U5 Lesson 3 Mastery Check Complete this mastery check in your own handwriting and submit it for review, feedback and grading. Be sure to enter the date you are submitting this mastery check for the first time. If we take repeated samples of the same size n from a population with mean u, the sampling distribution of will have the following characteristics: 1) The shape of the sampling distribution depends on the shape of the population distribution. If the population is Normally distributed, the sampling distribution of will be Normally distributed. If the population of distribution is non-Normal, the sampling distribution of x will become more and more Normal as n increases. 2) The mean of the sampling distribution of u = . 3) The standard deviation of the sampling distribution is o; = %D Note: The formula for the standard deviation is exactly correct only if we are sampling from an infinite population or with replacement from a finite population. When we are sampling without replacement from a finite population, the formula is approximately correct as long as the 10% condition is satisfied. That is, the sample size must be less than or equal to 10% of the population size. 1. The times it takes 5th graders to complete a particular mathematics problem are Normally distributed with mean 2 minutes and standard deviation 0.8 minutes. a) Find the probability that a randomly chosen 5th grader will take more than 2.5 minutes to complete the problem. Show your work. b) Suppose you give the problem to an SRS of 20 students. Sketch the sampling distribution of x. Then use this distribution to determine the probability that the mean time to complete the problem for the SRS of students is greater than 2.5 minutes. Show your work.
Transcribed Image Text:AP Statistics Unit 5: Sampling Distributions for Proportions Empodoltani Period A S/M Date Submitted U5 Lesson 3 Mastery Check Complete this mastery check in your own handwriting and submit it for review, feedback and grading. Be sure to enter the date you are submitting this mastery check for the first time. If we take repeated samples of the same size n from a population with mean u, the sampling distribution of will have the following characteristics: 1) The shape of the sampling distribution depends on the shape of the population distribution. If the population is Normally distributed, the sampling distribution of will be Normally distributed. If the population of distribution is non-Normal, the sampling distribution of x will become more and more Normal as n increases. 2) The mean of the sampling distribution of u = . 3) The standard deviation of the sampling distribution is o; = %D Note: The formula for the standard deviation is exactly correct only if we are sampling from an infinite population or with replacement from a finite population. When we are sampling without replacement from a finite population, the formula is approximately correct as long as the 10% condition is satisfied. That is, the sample size must be less than or equal to 10% of the population size. 1. The times it takes 5th graders to complete a particular mathematics problem are Normally distributed with mean 2 minutes and standard deviation 0.8 minutes. a) Find the probability that a randomly chosen 5th grader will take more than 2.5 minutes to complete the problem. Show your work. b) Suppose you give the problem to an SRS of 20 students. Sketch the sampling distribution of x. Then use this distribution to determine the probability that the mean time to complete the problem for the SRS of students is greater than 2.5 minutes. Show your work.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman
SEE MORE TEXTBOOKS