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3. A company claims that the mean time it takes for their customers service representatives to resolve customer issues is at most 20 minutes. They collect a simple random sample of 10 customers service cases and find that the sample mean resolution time is 22 minutes with a sample standard deviation of 5 minutes. With a 0.01 significance level, we wish to test the company's claim. (a) (4 points) Express the claim and its opposite in symbolic forms (Use the appropriate notation and equations). - Claim " Opposite claim: (b) (4 points) Identify He and H.: . Hot . HE (c) (2 points) Is the test two-tailed, left-tailed, or right-tailed? Circle the correct answer. (d) (4 points) Find the appropriate test statistic. ( Write Its formula and round your answers to two declinal places). MAI 122 Test ! - Page S of " Summer 2024 (c) (6 points) Find the critical value(s), and draw a graph which includes the test statistic, critical value(s) and critical region. (Round to two decimal places) (D (4 points) Make a decision about 10 and state the right conclusion about the claim