(Solved): A particular brand of diet margarine was analyzed to determine the level of polyunsaturated fatty a ...

A particular brand of diet margarine was analyzed to determine the level of polyunsaturated fatty acid (in percentages). A random sample of 5 packages resulted in the following data: \\( 15,14.2,17.8,14.1 \\), 16.7 . It is assumed that the level of polyunsaturated fatty acid follows a normal distribution and a significant level of 0.1 is used. Scientists want to know if the data show enough evidence to prove that the average level of polyunsaturated fatty acid is not equal to \$13.7($. 4. Find the estimated standard deviation of the sample mean. (A) 0.7284 (B) 0.0284 (C) 1.9284 (D) 2.4284 (E) 2.6284 5. Find the test statistic value. (A) 1.6535 (B) 1.8535 (C) 2.5535 (D) 4.4535 (E) 3.0535 6. Find the the rejection region. (A) \\( (-\\infty,-1.64) \\cup(1.64,+\\infty) \\) (B) \\( (-\\infty,-2.015) \\cup(2.015,+\\infty) \\) (D) \\( (-\\infty,-1.533) \\cup(1.533,+\\infty) \\) (E) \\( (-\\infty,-2.132) \\cup(2.132,+\\infty) \\)