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.a)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. b) 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'

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

Answered: Announcements for 83 upcoming…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter0: Preparing For Algebra

Section0.7: Perimeter

Problem 5E

See similar textbooks

Related questions

Concept explainers

Question

100%

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.

a)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.

b) 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)

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

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