Announcements for 83 upcoming engineering conferences were randomly picked from a stack of IEEE Spectrum magazines. The mean length of the conferences was 3.96 days, with a standard deviation of 1.24 days. Assume the underlying population is normal. 1)In words define the random variables x and x̅ X is the mean length from a sample of 83 engineering conferences and x̅ is the length of an engineering conference. X is the length of an engineering conference and x̅ is the mean length from a sample of 83 engineering conferences.X is the number of engineering conferences and x̅ is the mean number of engineering conferences listed in IEEE spectrum magazine.X is the mean number of engineering conferences listed in IEEE spectrum magazine and x̅ is the number of engineering conferences. 2)Which distribution should you use for this problem? Explain your choice.The student’s t-distribution should be used because the sample mean is smaller than 30. The student’s t-distribution should be used because the sample standard deviation is given. The standard normal distribution should be used because the mean is given. The standard normal distribution should be used because the population standard deviation is known. 3) Construct a 95% confidence interval for the population mean length of engineering conferences. (I)State the confidence interval. (round your answers two decimal points.)(__________ , ___________)(ii)Sketch the graph (round your answers to two decimal places. Enter your a/2 to three decimal places.)(iii)Calculate the error bound. (round your answers two decimal points.)for the image its for part 3 (ii) aC.L. =2%3DP'

Name: Announcements for 83 upcoming engineering conferences were randomly pi
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Announcements for 83 upcoming engineering conferences were randomly picked from a stack of IEEE Spectrum magazines. The mean length of the conferences was 3.96 days, with a standard deviation of 1.24 days. Assume the underlying population is normal.

Let X denoted the length of engineering conference and X¯ denotes the mean length of 83 engineering…

Answered: Announcements for 83 upcoming…

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

Related questions

Topic Video

Question

Announcements for 83 upcoming engineering conferences were randomly picked from a stack of IEEE Spectrum magazines. The mean length of the conferences was 3.96 days, with a standard deviation of 1.24 days. Assume the underlying population is normal.

1)In words define the random variables x and x̅

X is the mean length from a sample of 83 engineering conferences and x̅ is the length of an engineering conference.
X is the length of an engineering conference and x̅ is the mean length from a sample of 83 engineering conferences.
X is the number of engineering conferences and x̅ is the mean number of engineering conferences listed in IEEE spectrum magazine.
X is the mean number of engineering conferences listed in IEEE spectrum magazine and x̅ is the number of engineering conferences.

2)Which distribution should you use for this problem? Explain your choice.

The student’s t-distribution should be used because the sample mean is smaller than 30.
The student’s t-distribution should be used because the sample standard deviation is given.
The standard normal distribution should be used because the mean is given.
The standard normal distribution should be used because the population standard deviation is known.

3) Construct a 95% confidence interval for the population mean length of engineering conferences.

(I)State the confidence interval. (round your answers two decimal points.)

(__________ , ___________)

(ii)Sketch the graph (round your answers to two decimal places. Enter your a/2 to three decimal places.)

(iii)Calculate the error bound. (round your answers two decimal points.)

for the image its for part 3 (ii)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions