Answer Happy

LONG ANSWER QUESTION: A random sample of 10 times of first sprinkler activation for a series of tests with fire prevention sprinkler systems using an aqueous film-forming foam yielded a sample mean activation time of 24.3 seconds and a sample standard deviation of 5.1 seconds. The system has been designed so that the true mean activation time u is at most 20 seconds. Do these data strongly contradict the validity of this specification? Before we ran the study, our belief was that the mean activation time was longer than 20 seconds. Assume the distribution of activation times is normal.
(a) Define the population parameter(s) of interest. (b) State the null and alternative hypotheses in terms of the parameter. (c) State the test statistic you will use. What distribution (including degrees of freedom, if appropriate) will you use to calculate the p-value. (d) Find the observed value of the test statistic. (e) Compute (or bracket) the p-value within the accuracy of the tables. (f) What level of evidence against Ho do you find?