Problem 3.docx - A producer of steel cables wants to know whether the steel cables it produces have an average breaking strength of 5000 pounds An

# Problem 3.docx - A producer of steel cables wants to know...

• Homework Help
• 2

This preview shows page 1 - 2 out of 2 pages.

A producer of steel cables wants to know whether the steel cables it produces have an average breaking strength of 5000 pounds. An average breaking strength of 5000 pounds would be inadequate, and to produce steel cables with an average breaking strength of more than 5000 pounds would unnecessarily increase production costs. The producer collects a random sample of 64 steel cable pieces. The breaking strength for each is recorded. (a) Identify the null and alternative hypothesis for this situation. Solution: By testing the hypothesis average testing strength is more than 5000. The null and alternative hypothesis is given below, H 0 : µ = 5000 H a : µ ≠ 5000 (b) Using a 5% significance level, what statistical conclusion can the producer reach regarding the average breaking strength of its steel cables? Would the conclusion be any

Subscribe to view the full document.

Unformatted text preview: different at the 1% level? Explain the answer. Solution: Mean 5158.326719 Standard Error 62.28072982 Median 5179.755 Mode #N/A Standard Deviation 498.2458386 Sample Variance 248248.9157 Kurtosis-0.287598793 Skewness 0.104559271 Range 2424.46 Minimum 3931.76 Maximum 6356.22 Sum 330132.91 Count 64 N 64 8 X 5158.326719 158.327 s 498.2458386 62.2807 t-value 2.54215 p-value 0.01349 After complete analysis we have found that p value is less than 5% it means that we will reject the null hypothesis because average breaking strength of steel is not equal to 5000. The p value is 0.013 which is greater than 0.01 so we have enough evidence to reject null hypothesis at 1%....
View Full Document

• Fall '16

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern