A police officer is concerned about speeds on a certain section of Interstate 95. The data accompanying this exercise show the speeds of 40 cars on a Saturday afternoon.
Highway Speed: 73 68 67 74 74 70 68 73 65 69 67 63 66 64 67 65 70 64 63 61 62 63 63 66 64 62 65 62 70 62 66 64 67 61 69 66 61 70 65 61
a. The speed limit on this portion of Interstate 95 is 65 mph. Specify the competing hypotheses in order to determine if the average speed is greater than the speed limit.
H_{0}: μ = 65; H_{A}: μ ≠ 65
H_{0}: μ ≥ 65; H_{A}: μ < 65
H_{0}: μ ≤ 65; H_{A}: μ > 65
b-1. Calculate the value of the test statistic. (Round your answer to 3 decimal places.)
b-2. Find the p-value.
p-value < 0.01
c. At α = 0.01, are the officer’s concerns warranted?
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