Question

A student project involved collecting data to see if there was a difference in the amount of time one had to wait at the drive-thru between two fast food restaurants, A and B. She randomly selected 17 cars at fast food restaurant A and 17 cars at fast food restaurant B. For each car chosen, she recorded how much time passed from the placement of the order to receiving their food at the pick-up window. The data is given in the table below measured in Seconds. Use α=0.05α=0.05.

Fast Food A	Fast Food B
237.1	261.8
161.2	272.2
232.8	165.7
185.8	205.4
170.1	141
200.6	159.9
224	237.4
215.6	271.6
234.2	174.2
194.8	176.9
174.7	218.1
210.1	245
184.4	140
161.4	165.5
193.7	191.2
188.7	196.7
209.7	266.2

Choose the most appropriate statistical hypotheses.
A. H0:μA=μBHA:μA<μBH0:μA=μBHA:μA<μB
B. H0:μD=0,HA:μD<0H0:μD=0,HA:μD<0
C. H0:μA=μBHA:μA>μBH0:μA=μBHA:μA>μB
D. H0:μD=0,HA:μD>0H0:μD=0,HA:μD>0
E. H0:μA=μBHA:μA≠μBH0:μA=μBHA:μA≠μB
F. H0:μD=0,HA:μD≠0H0:μD=0,HA:μD≠0


(b) Test the statistical hypotheses in (a) by carrying out the appropriate statistical test. Find the value of the test statistic for this test, use at least two decimals in your answer.
Test Statistic =

(c) Determine the P-value for this test, to at least three decimal places.

(d) Based on the above calculations, we should  ? reject not reject  the null hypothesis. Use α=0.05

Answer 1