A manufacturer of sprinkler systems used for fire protection in office buildings claims that the true average system-activation temperature is 130 . A sample of n=9 systems, when tested, yields a sample average activation temperature of 131.08 F with a standard deviation 1.5F. Suppose the distribution of activation times is normally distributed. Is there sufficient evidence to believe that average activation temperature of the sprinklers is different from manufacturer claims?(Use 5% significance level)? Clearly state the 6 steps of the hypothesis test you do.

If you calculate a 95% confidence interval for the average activation temperature of the sprinklers using the same data, will 130 be inside or outside the interval.Explain the answer without calculating the interval.