Answered: Two new machines for producing tires…

Name: Two new machines for producing tires have been proposed by a worker in
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: Two new machines for producing tires have been proposed by a worker in a manufacture. The manufacture believes there will be no difference in the strength of tires produced by these machines. To test this hypothesis, a sample of 9 tires produced by m

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

Two new machines for producing tires have been proposed by a worker in a manufacture. The manufacture believes there will be no difference in the strength of tires produced by these machines. To test this hypothesis, a sample of 9 tires produced by machine 1 and 7 tires produced by machine 2 were randomly selected. It is known from previous experience that the strength of a tire produced using machine 1 is a normal random variable with standard deviation equals to 3. And the strength of a tire produced using machine 2 is also a normal random variable with standard deviation equals to 4. use the following information to answer the following questions: 1. Find the estimated difference mean strength of tires produced using both machines [X-X) 2. What is the value of the test statistic : ii. If p-value was found equal to 0.12, What is the appropriate conclusion?

Machine 1 Machine 2
5.5
2.3
3.6
3.2
3.6
3.5
4.5
5.4
4.0
5,4
2.8
2.0
2.7
3.5
1.8
4.5

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

Step by step

Solved in 2 steps

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