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The athletic director of a large university in the United States is interested in studyiu g the muscle strength of the students at the university.

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The athletic director of a large university in the United States is interested in studyiu g the muscle strength of the students at the university. The athletic director attended a practice of the football team and asked the football players to respond to the question, \"Can you bench press at least your own weight?" [a] Explain how the athletic director's sampling method might have introduced bias and describe how the bias might affect the point estimate of p. the proportion of all students at the university who would respond \"yes" to the question. Suppose that l'i'h of students at the university can bench press at least their own weight. Let B represent the number of students in a random sample of twelve students from the university who can bench press at least their own weight. The graph shows the probability distribution of B. 0.35 0.30 11232 n. 2% 0.25 I120 11 I as I115 "12:! Probability '11 '3' new [b] Calculate and interpret the expected value of H. ['5] Describe a simulation process that could be conducted to estimate the value of P[B I} 2}

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