1. For each day of last year, the number of vehicles passing through a certain intersection was recorded by a city engineer. One objective of this study was to determine the percentage of days that more than 425 vehicles used the intersection. If the mean data was 375 vehicles per day and the standard deviation was 25 vehicles: (e) Suppose the relative frequency distribution for the data is bell-shaped, then what is the 16th percentile of the distribution? 425 325 400 350

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### Statistical Analysis of Traffic Data at City Intersection

1. For each day of last year, the number of vehicles passing through a certain intersection was recorded by a city engineer. One objective of this study was to determine the percentage of days that more than 425 vehicles used the intersection. If the mean data was 375 vehicles per day and the standard deviation was 25 vehicles:

   **(a) Suppose the relative frequency distribution for the data is bell-shaped, then what is the 16th percentile of the distribution?**

   - 425
   - 325
   - 400
   - 350

In the context of this problem, selecting the correct value among 425, 325, 400, and 350 requires understanding the properties of a bell-shaped (normal) distribution. The mean (375) and standard deviation (25) help us establish percentiles and other statistical measures. In a normal distribution, the 16th percentile is typically calculated using these statistics. To find the precise answer, one might consider using z-scores or standard normal distribution tables.

This question helps in understanding real-world applications of statistical concepts such as mean, standard deviation, and percentiles in evaluating traffic patterns and city planning.
Transcribed Image Text:### Statistical Analysis of Traffic Data at City Intersection 1. For each day of last year, the number of vehicles passing through a certain intersection was recorded by a city engineer. One objective of this study was to determine the percentage of days that more than 425 vehicles used the intersection. If the mean data was 375 vehicles per day and the standard deviation was 25 vehicles: **(a) Suppose the relative frequency distribution for the data is bell-shaped, then what is the 16th percentile of the distribution?** - 425 - 325 - 400 - 350 In the context of this problem, selecting the correct value among 425, 325, 400, and 350 requires understanding the properties of a bell-shaped (normal) distribution. The mean (375) and standard deviation (25) help us establish percentiles and other statistical measures. In a normal distribution, the 16th percentile is typically calculated using these statistics. To find the precise answer, one might consider using z-scores or standard normal distribution tables. This question helps in understanding real-world applications of statistical concepts such as mean, standard deviation, and percentiles in evaluating traffic patterns and city planning.
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