Perform the appropriate hypothesis test

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Assume a normal distribution and use a hypothesis test to test the given claim.

A firework fuse is designed to have an average burn-time of 5 seconds before ignition. For liability reasons, the company that makes these fuses undergoes random testing to make sure that its fuses meet this standard. A random sample of 20 fuses results in an average burn-time of 5.3 seconds with a sample standard deviation of 0.7 seconds.

Assuming the burn-time for an individual fuse is normally distributed, perform the appropriate hypothesis test at a 5% significance level to determine if the fuses perform according to design.

a) There is insufficient evidence to conclude the burn time is not 5 seconds.

b) There is sufficient evidence to conclude the burn time is greater than 5 seconds.

c) There is sufficient evidence to conclude the burn time is less than 5 seconds.

d) There is sufficient evidence to conclude the burn time is not 5 seconds.

e) There is insufficient evidence to conclude the burn time is 5 seconds.

Reference no: EM132488235

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