Please don't use Minitab to answer this question. 2. A manufacturer orders 30 mm nuts for a new line of machines from a supplier. In a quality control study themanufacturer tests 28 nuts and found mean diameter and standard deviation were 29.8 mm and 0.5 mmrespectively. Is there enough evidence to say there the nuts are not according to specifications? Usea = 0.011. Identify the parameter(s)5. Rejection Region or p-value2. Null Hypothesis3. Alternative Hypothesis6. Conclusion4. Test Statistic

Name: Please don't use Minitab to answer this question. 2. A manufacturer or
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Please don't use Minitab to answer this question. 2. A manufacturer orders 30 mm nuts for a new line of machines from a supplier. In a quality control study themanufacturer tests 28 nuts and found mean diameter and standard deviation were 29.8 mm and

Answered: A manufacturer orders 30 mm nuts for a…

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

Please don't use Minitab to answer this question.

2. A manufacturer orders 30 mm nuts for a new line of machines from a supplier. In a quality control study the
manufacturer tests 28 nuts and found mean diameter and standard deviation were 29.8 mm and 0.5 mm
respectively. Is there enough evidence to say there the nuts are not according to specifications? Use
a = 0.01
1. Identify the parameter(s)
5. Rejection Region or p-value
2. Null Hypothesis
3. Alternative Hypothesis
6. Conclusion
4. Test Statistic

Expert Solution

Step 1

1. The parameter is the average diameter of all the nuts.

2. The null hypothesis is,

3. The alternative hypothesis is,

4. As the population standard deviation is not known, we will use a t-test. The test statistic can be calculated as:

5. For the significance level $α = 0.0 1 and degrees of freedom 27(n-1)$ for a two-tailed test, the critical value is $2.77 1.$

$The p-value for two tailed test with 27 degrees of freedom and t=-2.117 is 0.0437, which can be obtained by using the t-distribution table. The required curve is depicted as follows:$

Step by step

Solved in 2 steps with 4 images

Knowledge Booster

$Research Design Formulation$

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