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.