National Motors has equipped the ZX-900 with a new disk brake system. We define u to be the mean stopping distance (from a speed of 35 mph) of all ZX-900s. National Motors would like to claim that the ZX-900 achieves a shorter mean stopping distance than the 60 ft claimed by a competitor. (a) Set up the null and alternative hypotheses needed to support National Motors' claim. HO: p Z 60 versus Ha: μ (b) A television network will allow National Motors to advertise its claim if the appropriate null hypothesis can be rejected at a = .05. If a random sample of 81 ZX-900s has a mean stopping distance of X= 57.8 ft, will National Motors be allowed to advertise the claim? Assume that o= 6.02 ft and justify your answer using both a critical value and a p-value. (Round your z to 2 decimal places and p- value to 4 decimal places. Negative value should be indicated by a minus sign.) p-value 60. HO. National Motors allowed to advertise the claim.

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