6. The accompanying data on crack initiation depth (um) was read from a lognormal probability plot thatappeared in the article "Incorporating Small Fatigue Crack Growth in Probabilistic Life Prediction: Effectof Stress Ratio in Ti-6AI-2Sn-6Mo" (Intl. J. of Fatigue 2013: 83-95). Although the pattern in the plot wasquite straight, a normal probability plot of the data also shows a reasonably linear pattern. And a boxplotindicates that the distribution is quite symmetric in the middle 50% of the data and only mildly skewedoverall.4.7 5.1 5.2 5.3 5.6 5.8 6.3 6.77.2 7.4 7.7 8.5 8.9 9.3 10.1 11.2(a) Check that the conditions for our t procedures are satisfied.(b) Estimate the true average crack initiation depth with a 99% CI and interpret the resulting interval.

Question
Asked Dec 10, 2019
108 views

Probability and statistics. Please answer part (a)

6. The accompanying data on crack initiation depth (um) was read from a lognormal probability plot that
appeared in the article "Incorporating Small Fatigue Crack Growth in Probabilistic Life Prediction: Effect
of Stress Ratio in Ti-6AI-2Sn-6Mo" (Intl. J. of Fatigue 2013: 83-95). Although the pattern in the plot was
quite straight, a normal probability plot of the data also shows a reasonably linear pattern. And a boxplot
indicates that the distribution is quite symmetric in the middle 50% of the data and only mildly skewed
overall.
4.7 5.1 5.2 5.3 5.6 5.8 6.3 6.7
7.2 7.4 7.7 8.5 8.9 9.3 10.1 11.2
(a) Check that the conditions for our t procedures are satisfied.
(b) Estimate the true average crack initiation depth with a 99% CI and interpret the resulting interval.
help_outline

Image Transcriptionclose

6. The accompanying data on crack initiation depth (um) was read from a lognormal probability plot that appeared in the article "Incorporating Small Fatigue Crack Growth in Probabilistic Life Prediction: Effect of Stress Ratio in Ti-6AI-2Sn-6Mo" (Intl. J. of Fatigue 2013: 83-95). Although the pattern in the plot was quite straight, a normal probability plot of the data also shows a reasonably linear pattern. And a boxplot indicates that the distribution is quite symmetric in the middle 50% of the data and only mildly skewed overall. 4.7 5.1 5.2 5.3 5.6 5.8 6.3 6.7 7.2 7.4 7.7 8.5 8.9 9.3 10.1 11.2 (a) Check that the conditions for our t procedures are satisfied. (b) Estimate the true average crack initiation depth with a 99% CI and interpret the resulting interval.

fullscreen
check_circle

Expert Answer

Step 1

(a) The conditions or assumptions for the t-procedures are:

  1. The variable on which the test is applied should be continuous or ordinal.
  2. The data must be sampled using the technique of simple rand...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Probability

Other

Related Probability Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: 5) A couple plans to have four children. Using a tree diagram, obtain the sample space. Then, find t...

A: It is given that the couple plans to have 4 children. Therefore, the number of trials is 4.

question_answer

Q: If one of these individuals is selected at random, what is the probability that the person watches: ...

A: (1) The probability that the person watches a station other than CBS, given that they are woman is 0...

question_answer

Q: Escalate - Show every mynute steps in DETAILED!

A: (a) From the given information, X1, X2, X3, X4 are independent and follows uniform distribution on (...

question_answer

Q: A coin is tossed 3 times. What is the probability that the coin will land heads: A) atleast twice? B...

A: Consider H represent the outcome of heads and T represents the outcome of tails. The total number of...

question_answer

Q: Which of the following r-values represent the weakest linear correlation between independent (x) and...

A: A correlation coefficient is used to define, a relation between independent variable (x) and depende...

question_answer

Q: The probability of success in a certain game is p. The results in successive trials are independent ...

A: Let random variable X be the number of trials performed before r successes are obtained. Then the pm...

question_answer

Q: Please help.

A: 7.Conditions for a probability distribution:

question_answer

Q: Emily has $10000 to invest in Apple stock. In the next month, the stock has a 30% chance of gaining ...

A: Total amount for investment = $10000.The probability distribution for the provided data is:

question_answer

Q: Suppose, household color TVs are replaced at an average age of μ = 7.4 years after purchase, and the...

A: From the given information, Let x be the age (in years) at which a color TV is replaced and x has a ...