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4. A claim said that the weights of adult males have a standard deviation less than 291b Based on a simple random sample of 8 adult males, it is found that the sample standard deviation of their weights is 7.516. Assume the weights of adult males are normally distributed and use 5% significance level to test such a 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,: Ho: (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 decimal places). MA'1 122 Text 1 - Page 8 or & 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