Solved

A Company That Manufactures Helmets Wants to Test Their Helmets

question 95

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 p-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.

Definitions:

Temporal Discounting

The tendency to value immediate rewards more highly than future rewards, leading to decisions that favor short-term gains over long-term benefits.

Omission Bias

The tendency to favor inaction over action, based on the assumption that harm caused by doing nothing is less morally reprehensible than harm caused by acting.

Reactance

A psychological reaction that occurs when an individual feels their freedom to choose is being restricted, leading them to resist or do the opposite of what is being imposed.

Dissonance

A psychological conflict resulting from incongruous beliefs and attitudes held simultaneously.