112k views
2 votes
What cannot be considered a NO-Parking zone among the following statements?

User Aep
by
7.8k points

1 Answer

2 votes

Final answer:

The NO-Parking zone question is not relevant to the statistics provided, which describe the normal distribution characteristics for campus parking times. The data having a greater mean than standard deviation indicates the normal distribution still applies, and finding a parking space in less than one minute is statistically unusual.

Step-by-step explanation:

The main answer to what cannot be considered a NO-Parking zone among the provided statistical statements is that Statement III is incorrect. The fact that the mean time to find parking is significantly greater than the standard deviation does not imply that the data cannot follow a normal distribution. In fact, the characteristics of the normal distribution involve a mean and standard deviation where the mean is an indicator of the central tendency, and the standard deviation is an indicator of the data's spread. According to the provided information, the time it takes to find a parking space follows a normal distribution, with a mean of five minutes and a standard deviation of two minutes.Given that we expect parking times to be normally distributed, if someone took less than one minute to find a parking space, it would be considered an unusual event. This is due to Z-scores, which measure how many standard deviations an element is from the mean. A time of less than one minute to find a parking space would be more than two standard deviations away from the mean, which in a normal distribution includes over 95% of the values. Therefore, it is quite unlikely but not impossible. This provides an explanation of why such an occurrence would be surprising based on the normal distribution.

User Anish Menon
by
7.6k points

No related questions found