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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

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

85.4

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.

102.5

82.0

66.5

93.0

58.9

87.3

75.1

70.5

66.9

87.3

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

=0.01.

Find the test statistics

Find the p-value

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