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1. A random sample of 90 days in Tennessee and Georgia revealed the following information about...

1. A random sample of 90 days in Tennessee and Georgia revealed the following information about the rainfall. Tennessee Georgia n1 =90 n2 =90 Xbar-1 = 5.6 inches Xbar-2= 4.9 inches S1 = 0.5 inches S2 = 0.4 inches

a. Test at the 0.10 level of significance to determine if there is a significant difference in the average rainfall of the two states.

[Hint: You need to (1) write the null and alternative hypotheses (2) know the significance level of the test (3) write the appropriate formula for the teststatistic (4) using the sample data, compute the numerical value of the teststatistic (5) look up the critical value, and finally (6) draw your conclusion].

b. What is the p-value of the test? Draw your conclusion using the p-value criterion.

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