11. The mean waiting time at the drive-through of a fast-food restaurant from th
ID: 3318533 • Letter: 1
Question
11. 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 86.8 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.
108.0
80.2
68.9
94.7
58.7
86.3
73.2
71.5
64.8
83.7
(b) Is the new system effective? Conduct a hypothesis test using the P-value approach and a level of significance of a= 0.01
First determine the appropriate hypotheses.
H0: __u__ = 86.8
H1: _u__ < 86.8
Find the test statistic.
T0 = __?__ (Round to two decimal places as needed.)
Find P-value is _?__ (Round to three decimal places as needed.)
E) Use the a = 0.01 level of significance. What can be concluded from the hypothesis test? multiple choice
a) The P-value is less than the level of significance so there is sufficient evidence to conclude the new system is effective.
b) The P-value is greater than the level of significance so there is sufficient evidence to conclude the new system is effective.
c) The P-value is less than the level of significance so there is not sufficient evidence to conclude the new system is effective.
d) The P-value is greater than the level of significance so there is not sufficient evidence to conclude the new system is effective.
108.0
80.2
68.9
94.7
58.7
86.3
73.2
71.5
64.8
83.7
Explanation / Answer
The statistical software output for this problem is:
One sample T hypothesis test:
: Mean of variable
H0 : = 86.8
HA : < 86.8
Hypothesis test results:
Hence,
t = -1.67
P - value = 0.065
E) The P-value is greater than the level of significance so there is not sufficient evidence to conclude the new system is effective.
Option D is correct.
Variable Sample Mean Std. Err. DF T-Stat P-value Wait Time 79 4.678485 9 -1.6672064 0.0649Related Questions
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