A Bicycle Manufacturer Makes Downhill Mountain Bikes Out of Two

question 47

Essay

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.

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Definitions:

Sinking Fund

A fund established by an organization to set aside revenue over a period for the future repayment of debt.

Rating Agencies

Companies that assess the financial strength of entities and their capabilities to meet financial commitments, providing ratings that indicate the risk level of investing in their debt.

Bond Rating Agency

An organization that assesses the creditworthiness of both corporations and governmental entities and assigns ratings to their various debt securities.

Quantitative Data

A type of data that can be counted or measured and expressed numerically, facilitating statistical analysis.