A Company That Manufactures Helmets Wants to Test Their Helmets

question 105

Essay

A company that manufactures helmets wants to test their helmets to make sure they pass SNELL certification.One of the tests the helmets are required to undergo is a test that simulates real-world impacts.During the test,crash dummies must,on average,experience a force of nearly 300 g in order to pass.The company tests 36 helmets and finds the dummy experienced an average of 298 g with a standard deviation of 8 g.
a.Specify the null and alternative hypotheses to determine whether the company's helmets experience,on average,less than 300 g during the SNELL test.
b.Calculate the value of the test statistic,and find the critical value at a 10% significance level.
c.At the 10% significance level,can you conclude that the company's helmets experience less than 300 g during the SNELL test? Explain.

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Definitions:

Dislocation

An injury where the ends of bones are forced from their normal positions in the joint, causing pain and dysfunction.

Intervertebral Cartilage Disks

Cartilaginous pads situated between the vertebrae that help absorb shock and allow for flexibility of the spine.

Axial Skeleton

The part of the skeleton that consists of the bones of the head and trunk of a vertebrate.

Scapula

The shoulder blade.