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Based on the records of the last 15 years, the average rainfall in the A region...

Based on the records of the last 15 years, the average rainfall in the A region was calculated as 13 cm and the standard deviation 4cm in February. In zone B, based on the last 10-year records, the average rainfall for the same month is calculated as 10 cm and the standard deviation is 2 cm. It is known that the amount of precipitation has a normal distribution. Accordingly, if we assume that the mass variances are equal, the claim that the average amount of precipitation falling on the A region is higher than the B region should be tested at the level of meaning α = 0.10;
a) establish the hypothesis
b) Calculate the test statistics.
c) Determine the critical value using the relevant table. Explain what your decision is and comment.

Math   Statistics-And-Probability   
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