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

19-10-2024
Geography

High School

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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.

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rofiahhuda rofiahhuda · Answer 1 · 2025-02-07T13:56:23-05:00

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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