Statistics from Cornell's Northeast Regional Climate Center indicate that Ithaca, NY gets an average of 35.4" of rain each year, with a standard deviation of 4.2". Over a selected period of four years, let y represent the sample average amount of rainfall over that four-year period (n= 4). Assume that rainfall amount in Ithac: NY follows a Normal model. Which of the following is the best statement for why the sample average rainfall amount over the four year period X will follow a Normal Model? O a. Because the population mean is greater than 30" O b. Because the population itself follows a Normal Model O. Because the data is quantitative O d. Because the sample size is less than 30 < Question 12 of 21

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**Transcription for Educational Website**

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**Question 12**

Statistics from Cornell’s Northeast Regional Climate Center indicate that Ithaca, NY gets an average of 35.4 inches of rain each year, with a standard deviation of 4.2 inches. Over a selected period of four years, let \( \bar{x} \) represent the sample average amount of rainfall over that four-year period (\( n = 4 \)). Assume that rainfall amount in Ithaca, NY follows a Normal model.

Which of the following is the best statement for why the sample average rainfall amount over the four-year period \( \bar{x} \) will follow a Normal Model?

- a. Because the population mean is greater than 30 inches
- b. Because the population itself follows a Normal Model
- c. Because the data is quantitative
- d. Because the sample size is less than 30

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**Explanation of Content:**

- The question explores the application of statistics in understanding rainfall patterns using a sample average and normal distribution model.
- The choices offered assess the learner's understanding of why sample means may follow a Normal Model, particularly focusing on population characteristics and sample size.
- This question falls under practical applications of statistical concepts such as the Central Limit Theorem.

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Transcribed Image Text:**Transcription for Educational Website** --- **Question 12** Statistics from Cornell’s Northeast Regional Climate Center indicate that Ithaca, NY gets an average of 35.4 inches of rain each year, with a standard deviation of 4.2 inches. Over a selected period of four years, let \( \bar{x} \) represent the sample average amount of rainfall over that four-year period (\( n = 4 \)). Assume that rainfall amount in Ithaca, NY follows a Normal model. Which of the following is the best statement for why the sample average rainfall amount over the four-year period \( \bar{x} \) will follow a Normal Model? - a. Because the population mean is greater than 30 inches - b. Because the population itself follows a Normal Model - c. Because the data is quantitative - d. Because the sample size is less than 30 ⚠ Moving to another question will save this response. [Preview] [Close Window] **Explanation of Content:** - The question explores the application of statistics in understanding rainfall patterns using a sample average and normal distribution model. - The choices offered assess the learner's understanding of why sample means may follow a Normal Model, particularly focusing on population characteristics and sample size. - This question falls under practical applications of statistical concepts such as the Central Limit Theorem. ---
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