Tests In a study of proctored and nonproctored tests in an online Intermediate Algebra course a, researchers obtained the data for test results given below Use a 0.01 significance level to test the claim that students taking nonproctored tests get a higher mean than those taking proctored tests.

Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Do the following:
a. Test the given claim using the P-value method or critical value method.
b. Construct a confidence interval suitable for testing the given claim.

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Group 1 (Proctored): n = 30, x = 74.30, s = 12.87 Group 2 (Nonproctored): n32, 88.62,s 22.09