Question

The article "Uncertainty Estimation in Railway Track Life-Cycle Cost"† presented the following data on time to...

The article "Uncertainty Estimation in Railway Track Life-Cycle Cost"† presented the following data on time to repair (min) a rail break in the high rail on a curved track of a certain railway line.

159    120    480    149    270    547    340    43    228    202    240    218

A normal probability plot of the data shows a reasonably linear pattern, so it is plausible that the population distribution of repair time is at least approximately normal. The sample mean and standard deviation are 249.7 and 145.1, respectively.

(a) Is there compelling evidence for concluding that true average repair time exceeds 200 min? Carry out a test of hypotheses using a significance level of 0.05.
State the appropriate hypotheses.

H0: μ < 200
Ha: μ = 200H0: μ > 200
Ha: μ = 200    H0: μ = 200
Ha: μ ≠ 200H0: μ = 200
Ha: μ < 200H0: μ = 200
Ha: μ > 200


Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)

t =
P-value =



What can you conclude?

There is compelling evidence that the true average repair time exceeds 200 min.There is not compelling evidence that the true average repair time exceeds 200 min.    


(b) Using

σ = 150,

what is the type II error probability of the test used in (a) when true average repair time is actually 300 min? That is, what is β(300)? (Round your answer to two decimal places.)
β(300) =


You may need to use the appropriate table in the Appendix of Tables to answer this question.

0 0
Add a comment Improve this question Transcribed image text
Answer #1

please rate if it really helps you Thank you

Add a comment
Know the answer?
Add Answer to:
The article "Uncertainty Estimation in Railway Track Life-Cycle Cost"† presented the following data on time to...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT