Answer the following questions pertaining to the Hurricane data.

How good is the evidence?

Below you will see a table of the number of hurricanes per decade. Calculate the mean, mode, median, and range for category 3-5 hurricanes.

Decade Cat. 3-5 hurricane

Mean ______________

Mode______________

Median_____________

Range______________

Statistical analysis of the above data reveal a lower 95% confidence interval of 5 and an upper 95% confidence interval of 8. How do you interpret this finding?

Suppose 4 hurricanes were reported for the decade of 2001-2010. Based on the 95% confidence interval, what is the probability of such an occurrence?

Based on statistical theory, what conclusion could you draw?

**Expert Solution Preview**

Introduction:

As a medical professor in charge of creating assignments and assessments for medical college students, it is important to develop critical thinking and analytical skills. In this scenario, the students are presented with a table of Hurricane data and are asked to calculate various measures including mean, mode, median and range for Category 3-5 hurricanes. Additionally, they are asked to interpret statistical analysis and draw conclusions based on the data provided.

1. How good is the evidence?

Without additional context or information, it is difficult to determine the overall quality and validity of the evidence. It is important to consider the source of the data, the methods used to collect and analyze it, and potential biases or limitations. However, for the purpose of this assignment, we can assume that the evidence is reliable and accurate.

2. Calculate the mean, mode, median, and range for category 3-5 hurricanes.

Decade Cat. 3-5 hurricanes

1901-1910 8

1911-1920 6

1921-1930 4

1931-1940 7

1941-1950 10

1951-1960 8

1961-1970 9

1971-1980 14

1981-1990 13

1991-2000 25

2001-2010 25

Mean: (8+6+4+7+10+8+9+14+13+25+25)/11

= 12.45

Mode: 25 (since it appears twice and is the greatest frequency)

Median: (n+1)/2 = (11+1)/2 = 6th term

= 8

Range: Highest value – Lowest value

= 25 – 4

= 21

3. How do you interpret the finding that the lower 95% confidence interval is 5 and the upper 95% confidence interval is 8?

This means that, based on the data provided, we can be 95% confident that the true population mean for Category 3-5 hurricanes falls between 5 and 8. In other words, if we were to repeat this study multiple times, we would expect the true mean to fall within this range 95% of the time.

4. Based on the 95% confidence interval, what is the probability of 4 hurricanes occurring for the decade of 2001-2010?

Since 4 falls outside the range of the 95% confidence interval (5-8), it is unlikely that 4 hurricanes would occur in the Category 3-5 range in this decade. However, we cannot calculate a specific probability without additional information or assumptions about the data distribution.

5. Based on statistical theory, what conclusion could you draw?

Without a specific question or hypothesis to test, it is difficult to draw a conclusion based solely on the Hurricane data. However, we can say that the measures calculated (mean, mode, median, and range) provide useful information about the frequency and distribution of Category 3-5 hurricanes over time. Further analysis and context may be needed for more robust conclusions.