The average age for licensed drivers in Purple County is = 42.6 years with a sta
ID: 3206006 • Letter: T
Question
The average age for licensed drivers in Purple County is = 42.6 years with a standard deviation of x =12. There was a free event for young adults in Purple County on Saturday. The local police want to know if drivers who received tickets (for moving violations, like speeding) on the day of the concert differ in age from licensed drivers in Purple County. If so, they would use that as evidence that the event should not be held next year. Below are the ages of the six individuals who received tickets on the day of the concert.
20 23 51 46 31 18
1. State your alternative hypothesis.
2. State your null hypothesis.
Write it in words and as symbols.
3. Find Standard Error.
4. Find Z-obtained
5. Find z crit
6. State your SUBSTANTIVE conclusion (in words)
Explanation / Answer
(1) The mean age is different from 42.6 ( 42.6)
(2) The mean age is 42.6 ( = 42.6)
(3) SE = /n = 12/6 = 4.9
(4) z = (x-bar - )/SE = (31.5 - 42.6)/4.9 = -2.266
(5) Z (critical) = ± 1.96
(6) Since -2.266 < -1.96, we reject Ho and accept Ha
We conclude that the mean age is different from 42.6.
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