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Please submit your excel worksheet here. After referring to the class notes on Huff, answer the following questions: 1. Statistical analysis of the 16 decades of hurricane data reveals a 95% Confidenc

April 11, 2023

Please submit your excel worksheet here.

After referring to the class notes on Huff, answer the following questions:

1. Statistical analysis of the 16 decades of hurricane data reveals a 95% Confidence Interval of +/-1.10652102. Add and subtract this number from the population mean to determine the 95% CI value, which is the value 2 sd’s above and below the mean.

2. Suppose 10 hurricanes were to occur. Based on the 95% CI, what is the probability of such an occurrence?

3. Based on statistical theory of the normal distribution, what conclusion can you draw?

Expert Solution Preview

Introduction:

In this assignment, we will be analyzing hurricane data and applying statistical concepts to determine the 95% Confidence Interval and probability of occurrence of 10 hurricanes. Additionally, we will draw conclusions based on the normal distribution theory.

1. To determine the 95% Confidence Interval value, we need to add and subtract +/-1.10652102 from the population mean. Therefore, the 95% CI value is 2 sd’s above and below the mean. For example, if the mean is 15, the 95% CI would be (15 – 1.10652102) to (15 + 1.10652102), which is 13.893479 to 16.106521.

2. Based on the 95% CI, the probability of 10 hurricanes occurring would be very low, since this is 2 standard deviations away from the mean. We would expect 95% of hurricane occurrences to fall within the 95% CI range.

3. Based on the statistical theory of the normal distribution, we can conclude that hurricane occurrences follow a normal distribution pattern. This means that the majority of hurricanes will fall within the mean and standard deviation range, and less frequent hurricanes will occur outside of this range. Additionally, the likelihood of extreme weather events such as 10 hurricanes occurring is very low.

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