I need help solving this problem.

The mean waiting time at my drive-throughrestaurant from the time an order is placed to the time the order is received is 87.5 seconds. I created a new drive-through system that I believe will decrease wait time. As a test, I start the new system and measure the wait time for 10 randomly selected orders. The wait times are provided below.

105.8, 67.3, 56.2, 75.3, 66, 81.2, 95.7, 87.4, 71.6 and 83.5

Because the sample size is small, I must verify that the wait time is normally distributed and the sample does not contain any outliers. The sample correlation coefficient is known to be r=0.992. Are the conditions for testing the hypothesis satisfied?

Is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of =0.01.

What isthe appropriate hypotheses?

What isthe test statistic?

What is the P-value?

If I use the =0.01 level of significance to make a conclusion from the hypothesis test?