Question

The mean waiting time at the drive-through of a fast-food restaurant from the time an order is placed to the time the order is received is 84.7 seconds, A manager devises a new drive-through system that he believes will decrease want time. As a test, he initiates the new system at his restaurant and measures the wait time for 10 randomly selected orders. The wait times are provided in the table to the right. Complete parts(a) and (b).

101.9 , 68.6, 58.3, 76.7, 67.1, 80.5, 95.1, 84.2, 70.2, 87.4

table of correlation critical values.  

sample size, n critical value sample size , n Critical value

5 0.880 16 0.941

6 0.888 17 0.944

7 0.898 18 0.946

8 0.906 19 0.949

9 0.912 20 0.951

10 0.918 21 0.952

11 0.923 22 0.954

12 0.928 23 0.956

13 0.935 24 0.957

14 0.935 25 0.959

15 0.939 30 0.960

(No or Yes) the conditions( are or are not )satisfied. The normal probability plot ( is or is not) linear enough, since the correlation coefficient is ( less or greater) than the critical value.

B. Is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance od a=0.1.

First determine the appropriate hypotheses

Ho: ( u, p, a) ( =, <, >, =/) 84.7 Find the test statistic

Hi(u, a, p)( =, <, >, =/)84.7 to=_______________(round to two decimal places)

Find the P-value

The P-value is _____________(round to three decimal places as needed

Use the a=0.1 level of significance. What can be concluded from the hypothesis test?

a. The p-value is greater than the level of significance so there is not sufficient evidence to conclude the new system is effective

b The p-value is less than the level of significance so there is sufficient evidence to conclude the new system is effective

c The p-value is greater than the level of significance so there is sufficient evidence to conclude the new system is effective

d The p-value is less than the level of significance so there is not sufficient evidence to conclude the new system is effective

Answer 1