Suppose that 19 measurements of the failure stress of carbon fiber specimens results in a sample...

70.2K

Verified Solution

Question

Basic Math

Suppose that 19 measurements of the failure stress of carbonfiber specimens results in a sample mean of 562.68 MPa and samplestandard deviation of 180.874 MPa and that the data is normallydistributed. Calculate two-sided confidence intervals for thefailure stress for the following cases:
a) 95% confidence interval for a single measurement (n = 1) ofthe failure stress. Assume that the population standard deviationis known to be 181 MPa.
b) 95% confidence interval for the sample mean with n = 19.Repeat for the 99% confidence interval. Assume that the populationstandard deviation is known to be 181 MPa
c) 95% confidence interval for the sample mean with n = 19.Repeat for the 99% confidence interval. Assume that the populationstandard deviation is UNKNOWN.
d) Suppose that an alternative process of producing carbonfibers results in a sample of failure stress measurements with n =12, sample mean = 650.32 MPa and sample standard deviation of130.470 MPa. What is the 95% confidence interval on the differencein failure stress between the two populations?

Answer & Explanation Solved by verified expert

4.1 Ratings (719 Votes)

a At 95 confidence interval the critical value isz0025 196The 95 confidence interval for population mean is z0025 56268 196 181 56268 35476 20792 91744b At 95 confidence interval the critical See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member