The average annual rainfall for a certain area was previously known to be 35 inches. A local meteorologist believes the average rainfall recorded in the last five years was significantly higher. The average annual rainfall recorded in the last five years was: 36.6, 38.5, 37.1, 34.9, 35.9. Test this at a significance level of 0.05.

Question

13-09-2023
Geography

High School

Thank you for visiting The average annual rainfall for a certain area was previously known to be 35 inches A local meteorologist believes the average rainfall recorded in the. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!

The average annual rainfall for a certain area was previously known to be 35 inches. A local meteorologist believes the average rainfall recorded in the last five years was significantly higher. The average annual rainfall recorded in the last five years was: 36.6, 38.5, 37.1, 34.9, 35.9. Test this at a significance level of 0.05.

Answer :

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rofiahhuda rofiahhuda · Answer 1 · 2025-02-12T01:32:50-05:00

To test if the average rainfall in the last five years is significantly higher than the previous average, we can use a one-sample t-test at a significance level of 0.05.

To test whether the average annual rainfall recorded in the last five years is significantly higher than the previously known average of 35 inches, we can perform a one-sample t-test. Given a significance level of 0.05, we can compare the sample mean (36.6, 38.5, 37.1, 34.9, 35.9) to the population mean (35 inches) using statistical calculations.

This test will help determine if the difference between the sample mean and the population mean is statistically significant or if it could have occurred by chance. If the calculated p-value is less than 0.05, we can reject the null hypothesis and conclude that the average rainfall recorded in the last five years is significantly higher than 35 inches.

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