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 83.5 seconds. A manager devises a new drive-through system that she believes will decrease wait time. As a test, she initiates the new system at her 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) below. 105.3 68.0 57.0 73.0 67.6 79.9 93.7 84.8 71.4 79.3 ES: Click the icon to view the table of correlation coefficient critical values. no pl H: A - 03.3 < 83.5 Find the test statistic. to = 0 (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer. parts remaining Clear All Check Answer
Also to find the P value

Thank you!!!

Answer 1

we have given the null and alternative hypothesis is

Ho:u=83.5

Ha:u<83.5 ( left tailed )

using minitab>stat>basic stat>one sample t  

we have

One-Sample T: data

Test of μ = 83.5 vs < 83.5

Variable N Mean StDev SE Mean 95% Upper Bound T P
data 10 78.00 13.99 4.42 86.11 -1.24 0.123

the value of test stat is -1.24

p value is 0.123