(Answered)-8. The posted speed limit on Interstate 70 near Denver, KS is 75 - (2025 Updated Original AI-Free Solution

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Question

8. The posted speed limit on Interstate 70 near Denver, KS is 75 miles per hour, but it is claimed that the mean of the actual speeds of vehicles is greater than 75 miles per hour. To test this claim, the speeds of 35 randomly selected vehicles were taken and then reported to the right.

(a) Give the null and alternative hypotheses for this situation in mathematical notation.

(b) Based upon a 5% level of significance, determine the critical value(s) associated with this hypothesis test.

(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 near Denver, KS).