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AP STATS QUESTION!

 
 
Reply Thu 13 Mar, 2014 06:50 pm

Part A:
A city council has developed a plan to encourage more consumers to shop downtown. Part of the plan includes building a public parking garage in the heart of the city, the cost of which will be paid for by parking fees. The consultant who helped the city structure the plan predicted that parking revenues would average $160 per day. After the garage was constructed, the average daily fees collected during a two-month period (60 days) were $152, with a standard deviation of $21. Does it appear that the garage revenues are sufficient to meet the consultant's prediction? Use an appropriate hypothesis test at the 0.01 significance level to answer this question. Be sure to include all necessary information for a complete inference analysis.

Part B: Based on Part A, describe a Type I error for this setting and determine the probability of a Type I error.

Part C: Based on Part A, describe a Type II error for this setting. Explain how you could reduce the probability of a Type I error.


THANK YOU SO MUCH! xx
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DarkCrow
 
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Reply Fri 14 Mar, 2014 08:44 am
@statisticsstudent,
Hypothesis 1: The Mean of the daily fees collected are sufficient to meet the predicted amount of $160.00 US.
Hypothesis 2: The Mean of the daily fees collected are NOT sufficient to meet the predicted amount of $160.00 US.
Measured 60 day Mean = $152.00 US. SD = +/- $21.00
I am not sure anyone in these forums will actually complete this problem for you. Some might point you in the right direction. There are many resources on the web discussing Statistical Inference. If we had more information we could do a comparison of two means with known standard deviations, but thats descriptive statistics. I assume you have reviewed all this in class and just need a boost for this problem. Maybe there is a Grad student in Math or Psych that can assist you at school? I am way too rusty in this area. Good luck though.
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