A bicycle manufacturer makes downhill mountain bikes out of two different types of material: carbon fiber and aluminum. One test the company uses to measure the durability of their frames is called a stress test. The company tested 10 aluminum and 10 carbon frames to see how many stress cycles each type of material could withstand before breaking. The results are listed next in thousands. It is not reasonable to assume equal population variances. Assume the number of stress cycles a bicycle frame can withstand before breaking is normally distributed. a. Specify the competing hypotheses to determine if a carbon frame can withstand at least 10,000 more stress cycles than an aluminum frame.
B) Calculate the value of the test statistic and its p-value. c. Make a conclusion at the 5% significance level.

Question

A bicycle manufacturer makes downhill mountain bikes out of two different types of material: carbon fiber and aluminum. One test the company uses to measure the durability of their frames is called a stress test. The company tested 10 aluminum and 10 carbon frames to see how many stress cycles each type of material could withstand before breaking. The results are listed next in thousands. It is not reasonable to assume equal population variances. Assume the number of stress cycles a bicycle frame can withstand before breaking is normally distributed.  a. Specify the competing hypotheses to determine if a carbon frame can withstand at least 10,000 more stress cycles than an aluminum frame.
B) Calculate the value of the test statistic and its p-value. c. Make a conclusion at the 5% significance level.

Quizplus · Accepted Answer

The Answer of A bicycle manufacturer makes downhill mountain bikes out of two different types of material: carbon fiber and aluminum. One test the company uses to measure the durability of their frames is called a stress test. The company tested 10 aluminum and 10 carbon frames to see how many stress cycles each type of material could withstand before breaking. The results are listed next in thousands. It is not reasonable to assume equal population variances. Assume the number of stress cycles a bicycle frame can withstand before breaking is normally distributed.  a. Specify the competing hypotheses to determine if a carbon frame can withstand at least 10,000 more stress cycles than an aluminum frame.
B) Calculate the value of the test statistic and its p-value. c. Make a conclusion at the 5% significance level.

A Bicycle Manufacturer Makes Downhill Mountain Bikes Out of Two