Question

An engineer who is studying the tensile strength of a steel alloy knows that the population...

An engineer who is studying the tensile strength of a steel alloy knows that the population of tensile strength is approximately normally distributed with s = 60 psi. He selected a random sample of 12 specimens and gave a mean tensile strength of 3450 psi

. (i) Test the hypothesis that mean strength is 3500 psi. Use α = 0.05.

(ii) What is the P-value for the test in (i)?

(iii) Explain how you could answer the question in part (i) by using a confidence interval?

Homework Answers

Answer #1

please upvote

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 engineer who is studying the tensile strength of a steel alloy knows that tensile strength...
An engineer who is studying the tensile strength of a steel alloy knows that tensile strength is approximately normally distributed with σ = 60 psi. A random sample of 12 specimens has a mean tensile strength of 3450 psi. a) How would the confidence interval change if we did not know that σ = 60 psi, but the number of specimens is 80? b) How would the confidence interval change if we did not know that σ = 60 psi,...
An engineer studying the tensile strength of a composite material knows that tensile strength is approximately...
An engineer studying the tensile strength of a composite material knows that tensile strength is approximately normally distributed with σ = 60 psi. A random sample of 20 specimens has a mean tensile strength of 3450 psi. (a) Test the hypothesis that the mean tensile strength is 3500 psi, using α = 0.01 (b) What is the smallest level of significance at which you would be willing to reject the null hypothesis? (c) What is the β error for the...
A sample of 100 students consists of 60 females and 40 males. The purpose of the...
A sample of 100 students consists of 60 females and 40 males. The purpose of the study is to determine if the sex of the student is related to passing or failing the first test. Out of the 100 students in the sample, 70 students passed. the expected number of males passing is: 70 40 28 12 10 points    QUESTION 10 An engineer who is studying the tensile strength of a steel alloy intended for use in golf club...
A construction firm thinks that it is receiving 100 steel pipes with an average tensile strength...
A construction firm thinks that it is receiving 100 steel pipes with an average tensile strength of 10,000 pounds per square inch(lbs p.s.i.).This is the mean,μ.The size of the sample was n=100.The firm also knows that the population standard deviation,sigma,σ,is 400 p.s.i.The firm chooses a confidence interval of 95 %.This is equivalent to a level of significance,α,of 5 %(.05),where the null hypothesis is H0:μ0=10,000 and the alternative hypothesis is H1:μ0≠10,000.The company does not know that the actual, average tensile strength...
A construction firm thinks that it is receiving 100 steel pipes with an average tensile strength...
A construction firm thinks that it is receiving 100 steel pipes with an average tensile strength of 10,000 pounds per square inch(lbs p.s.i.).This is the mean,μ.The size of the sample was n=100.The firm also knows that the population standard deviation,sigma,σ,is 400 p.s.i.The firm chooses a confidence interval of 95 %.This is equivalent to a level of significance,α,of 5 %(.05),where the null hypothesis is H0:μ0=10,000 and the alternative hypothesis is H1:μ0≠10,000.The company does not know that the actual, average tensile strength...
5. A manufacturer claims that the mean tensile strength of thread A exceeds the average tensile...
5. A manufacturer claims that the mean tensile strength of thread A exceeds the average tensile strength of thread B. To test his claim, 16 sample pieces of each type of thread are tested under similar conditions. Type A thread had a sample average tensile strength of 185 kilograms with a standard deviation of 6 kilograms, while type B thread had a sample average tensile strength of 178 kilograms with a standard of 9 kilograms. Assume that both populations are...
When the medical devices are in full production, a consultant advised that the breaking strength of...
When the medical devices are in full production, a consultant advised that the breaking strength of these devices should not be less than 5.6 psi (pounds per square inch) on average. In the latest batch produced, a technician has noticed a visual defect that may affect the breaking strength of the devices. To investigate, a sample of 11 devices are randomly selected from the batch and the pressure at which they break are recorded as : 6.0, 5.7, 5.8, 5.7,...
Suppose that you are given the following problem : A construction firm thinks that it is...
Suppose that you are given the following problem : A construction firm thinks that it is receiving 100 steel pipes with an average tensile strength of 10,000 pounds per square inch(lbs p.s.i.).This is the mean,μ.The size of the sample was n=100.The firm also knows that the population standard deviation,sigma,σ,is 400 p.s.i.The firm chooses a confidence interval of 95 %.This is equivalent to a level of significance,α,of 5 %(.05),where the null hypothesis is H0:μ0=10,000 and the alternative hypothesis is H1:μ0≠10,000.The company...
Shear strength measurements derived from unconfined compression tests for two types of soils gave the results...
Shear strength measurements derived from unconfined compression tests for two types of soils gave the results shown in the following summary statistics (measurements in tons per square foot). Summary Statistics Soil Type I: Sample size = 25, Sample mean = 1.65, Sample std = 0.26 Soil Type II: Sample size = 31, Sample mean = 1.43, Sample std = 0.22. Do the soils appear to differ with respect to the variability of shear strength? Preliminary data analyses and other information...
A researcher knows that scores on a standardized language measure are normally distributed with a μ...
A researcher knows that scores on a standardized language measure are normally distributed with a μ = 50 and σ = 20. She wants to know if an online computer program will improve scores on the standardized test. She gives a sample of n = 25 students the study program and calculates the sample mean (M = 60) for her group of students that received the study program. She calculates her test statistic to be z = 2.5 ! She...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT