The posted speed limit on Interstate 70 is 70 miles per hour, but it is claimed that the mean of the actual speeds of vehicles is greater than 70 miles per hour. To test this claim, the speeds of 36 randomly selected vehicles were taken and reported to the right.
Speed of Randomly Selected Vehicles on I-70 68 77 65 71 77 73 62 78 68 72 77 72 74 72 74 70 76 72 73 71 75 70 70 74 75 61 74 72 69 75 84 79 83 75 71 76
(a) Give the null and alternative hypotheses for this situation in mathematical notation.
(b) Based upon a 10% level of significance, determine the critical value(s) associated with this hypothesis test.
(c) Determine the sample’s test statistic.
(d) State a final conclusion regarding the results of the hypothesis test. Make sure your statement is tied to the context of the problem (speed of vehicles on I-70).
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