Question

The shear strength of each of ten test spot welds is determined, yielding the following data...

The shear strength of each of ten test spot welds is determined, yielding the following data (psi). 367 415 391 409 362 389 396 382 375 358

(a) Assuming that shear strength is normally distributed, estimate the true average shear strength and standard deviation of shear strength using the method of maximum likelihood. (Round your answers to two decimal places.)

average psi?

standard deviation psi?

(b) Again assuming a normal distribution, estimate the strength value below which 95% of all welds will have their strengths. [Hint: What is the 95th percentile in terms of μ and σ? Now use the invariance principle.] (Round your answer to two decimal places.)

psi?

(c) Suppose we decide to examine another test spot weld. Let X = shear strength of the weld. Use the given data to obtain the mle of P(X ≤ 400). [Hint: P(X ≤ 400) = Φ((400 − μ)/σ).] (Round your answer to four decimal places.)

Homework Answers

Know the answer?
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
Similar Questions
An article gave the following summary data on shear strength (kip) for a sample of 3/8-in....
An article gave the following summary data on shear strength (kip) for a sample of 3/8-in. anchor bolts: n = 71, x = 4.50, s = 1.40. Calculate a lower confidence bound using a confidence level of 90% for true average shear strength. (Round your answer to two decimal places.)
An article gave the following summary data on shear strength (kip) for a sample of 3/8-in....
An article gave the following summary data on shear strength (kip) for a sample of 3/8-in. anchor bolts: n = 75, x = 4.50, s = 1.80. Calculate a lower confidence bound using a confidence level of 90% for true average shear strength. (Round your answer to two decimal places.) pls show work and formulas used in detail
Researchers in a 2015 study by Flannery et al. sought to estimate the effectiveness of the...
Researchers in a 2015 study by Flannery et al. sought to estimate the effectiveness of the seasonal influenza vaccine in preventing acute respiratory infection (ARI). A total of 507 subjects from Texas who showed symptoms of ARI were recruited for this study. The data provided show the result of each subject's test for influenza. Click to download the data in your preferred format.    CrunchIt!    CSV    Excel    JMP    Mac-Text    Minitab    PC-Text    R   ...
Your firm works in construction and buys ASTM A325M8S bolts in very large numbers. You are...
Your firm works in construction and buys ASTM A325M8S bolts in very large numbers. You are interested in purchasing bolts from different suppliers and have obtained and tested samples of 200 bolts from three suppliers: Allnutt, Boltzman, Coachers.You have tested these in your new bolt testing machine, purchased after you had discovered your old bolt testing machine was performing erratically. (For the purposes of this question, you are safe to assume that the new machine works perfectly and that its...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT