Question: Supposed the average annual rainfall for the local area was previously known to be 8 inches. A local meteorologist believes there was above average rainfall

Supposed the average annual rainfall for the local area was previously known to be 8 inches. A local meteorologist believes there was above average rainfall from 2001 to 2019 and claims that the average annual rainfall during this period was significantly different from the overall average annual rainfall of 8 inches. The average annual rainfall recorded from 2001 to 2019 are given below:

6.5, 7.0, 6.1, 8.5, 8.0, 7.6, 6.3, 9.1, 7.7

a. Construct a 95% confidence interval for the mean annual rainfall.

b. Test the claim using 0.05 level of significance.

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