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.
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