Your company sources motors from two suppliers: supplier A and supplier B. Your application requiresvery high maximum torque. You wish to know if there is a significant difference in maximum torque forthe motors from supplier A vs. supplier B. You sample 10 motors from each supplier and measure themaximum torque. The sample means and sample standard deviations are shown the following table.Is there evidence to conclude that one supplier is better than the other at a 95% confidence level? The table below presents the sample means and sample standard deviations of the maximum torque for two suppliers:| Supplier | \( \bar{x} \) (N-m) | \( s \) (N-m) ||-------------|----------------------|---------------|| Supplier A | 98 | 4.2 || Supplier B | 101 | 3.3 |- **\( \bar{x} \)** represents the sample mean torque in Newton-meters (N-m).- **\( s \)** represents the sample standard deviation of torque in Newton-meters (N-m).This data allows us to compare the performance variability and average torque between Supplier A and Supplier B. Supplier B has a higher mean torque and a lower standard deviation, indicating more consistent results compared to Supplier A.

Followings are the Explanation of the question Use the Two-sample independent t test to test the…

Answered: Your company sources motors from two…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Your company sources motors from two suppliers: supplier A and supplier B. Your application requires
very high maximum torque. You wish to know if there is a significant difference in maximum torque for
the motors from supplier A vs. supplier B. You sample 10 motors from each supplier and measure the
maximum torque. The sample means and sample standard deviations are shown the following table.

Is there evidence to conclude that one supplier is better than the other at a 95% confidence level?

The table below presents the sample means and sample standard deviations of the maximum torque for two suppliers:

| Supplier | \( \bar{x} \) (N-m) | \( s \) (N-m) |
|-------------|----------------------|---------------|
| Supplier A | 98 | 4.2 |
| Supplier B | 101 | 3.3 |

- **\( \bar{x} \)** represents the sample mean torque in Newton-meters (N-m).
- **\( s \)** represents the sample standard deviation of torque in Newton-meters (N-m).

This data allows us to compare the performance variability and average torque between Supplier A and Supplier B. Supplier B has a higher mean torque and a lower standard deviation, indicating more consistent results compared to Supplier A.

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 + ...

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