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Golf tees produced from an injection mold. Refer to
Chapter 7, Problem 89E(choose chapter or problem)
Problem 89E
Golf tees produced from an injection mold. Refer to Exercise 7.37 (p. 378) and the weights of tees produced by an injection mold process. If operating correctly, the process will produce tees with a weight variance of .000004 (ounces)2. If the weight variance differs from .000004, the injection molder is out of control.
a. Set up the null and alternative hypotheses for testing whether the injection mold process is out of control.
b. Use the data saved in the accompanying file to conduct the test, part a. Use = .01.
c. What conditions are required for inferences derived from the test to be valid? Are they reasonably satisfied?
Questions & Answers
QUESTION:
Problem 89E
Golf tees produced from an injection mold. Refer to Exercise 7.37 (p. 378) and the weights of tees produced by an injection mold process. If operating correctly, the process will produce tees with a weight variance of .000004 (ounces)2. If the weight variance differs from .000004, the injection molder is out of control.
a. Set up the null and alternative hypotheses for testing whether the injection mold process is out of control.
b. Use the data saved in the accompanying file to conduct the test, part a. Use = .01.
c. What conditions are required for inferences derived from the test to be valid? Are they reasonably satisfied?
ANSWER:
Solution :
Step 1 of 3:
The given explain about the weight of tees produced by an injection mold problem.
Given if operating correctly, the process will produce trees with a weight variance of 0.000004.
Then the tees data is given below.
0.247 |
0.251 |
0.254 |
0.253 |
0.253 |
0.248 |
0.253 |
0.255 |
0.256 |
0.252 |
0.253 |
0.252 |
0.253 |
0.256 |
0.254 |
0.256 |
0.252 |
0.251 |
0.253 |
0.251 |
0.253 |
0.253 |
0.248 |
0.251 |
0.253 |
0.256 |
0.254 |
0.25 |
0.254 |
0.255 |
0.249 |
0.25 |
0.254 |
0.251 |
0.251 |
0.255 |
0.251 |
0.253 |
0.252 |
0.253 |
Our goal is :
a). We need to set up the null and alternative hypothesis for testing whether the injection mold process is out of control.
b). We use the data saved in the accompanying file to conduct the test, part (a).
Now we use the level of significe .
c). We need to find what conditions are required for inferences derived from the test to be valid and are they reasonably satisfied.
a). Now we have to set up the null and alternative hypothesis for testing whether the injection mold process is out of control.
Here the weight variance of trees is .
Now we have to determine if the weight variance differs from 0.000004.
Then the null and alternative hypothesis are
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