A wire manufacturer is very concerned about the consistency of the machines that produce wires and believes that the wires produced by machine A have a smaller variance in diameter than the variance in diameter from machine B. The sample variance of a sample of 10 wires from machine A is 0.0347. The sample variance of a sample of 6 wires from machine B is 0.0467. Test the claim using a 0.05 level of significance. Let σ12 represent the population variance for machine A. Step 2 of 5 : Determine the critical value(s) of the test statistic. If the test is two-tailed, separate the values with a comma. Round your answer(s) to four decimal places.
Added by Catalina C.
Step 1
Here are the steps: Show more…
Show all steps
Close
Your feedback will help us improve your experience
Madhur L and 84 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A can manufacturer is very concerned about the consistency of the machines that produce cans and believes that the cans produced by machine A have a smaller variance in diameter than the variance in diameter from machine B. The sample variance of a sample of 15 cans from machine A is 0.0366. The sample variance of a sample of 20 cans from machine B is 0.0475. Test the claim using a 0.05 level of significance. Let σ₁² represent the population variance for machine A. Step 1 of 5: State the null and alternative hypotheses for the test.
Madhur L.
Suppose we want to compare the variation in diameters of an engine part produced by Company A against those produced by Company B. Sample variance for company A, based on n=10 samples, is s1^2 = 0.0003. In contrast, the variance of the diameter measurements for a sample of 20 from Company B is s2^2 = 0.0001. Do the data provide sufficient information to indicate a smaller variation in diameters for Company B? Test using α=0.05 level of significance. State clearly the null hypothesis you are testing. Clearly state the calculation steps you took.
Jon S.
Question 1. In a manufacturing production process, two machines are being compared. The data below show the diameters, measured in millimeters, of a sample of ball bearings produced by each machine. Machine A Machine B 1.95 2.22 2.45 2.30 2.50 2.34 2.75 2.28 2.38 2.29 2.26 2.25 2.33 2.30 2.20 2.27 2.16 2.38 2.20 2.34 Use Excel to determine whether the variance in diameters differs between the two machines. Use a .05 level of significance. State the appropriate method for testing this claim. State the Null and Research Hypothesis (Use the appropriate symbols ) Obtained value Critical Value Conclusion (Accept or reject the Null)
Sheryl E.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD