Question

Get Homework Help With Chego x+ com/courses/1087630/quizzes/1653592/take From IE 0.21 Question 32 2 pts According to a report, 55% of high school students are accepted into the National Honor Society. a) If 500 high school students are randomly selected, how many do we expect to be accepted into the National Honor Society? b) Would it be unusual to observe 325 students who are accepted in the National Honor Society in a sample of 500 high school students a) 55 b) yes, it would be unusual because 325 is beyond a) 55 b) no, because 325 is between μ-20 and μ+20 a) 275 b) no, because 325 is between μ-20 and μ + 2ơ a) 275 b) yes, because 325 is beyond +20 @ + 2ơ Question 33 2 pts

Answer 1

a) Expected no of students = n * p = 500 * 0.55 = 275

b) $\mu$ = n * p = 500 * 0.55 = 275

$\sigma$ = sqrt(np(1 - p))

      = sqrt(500 * 0.55 * (1 - 0.55))

      = 11.124

$\mu - 2\sigma$ = 275 - 2 * 11.124 = 252.752

$\mu + 2\sigma$ = 275 + 2 * 11.124 = 297.248

Yes it would be unusual because 325 is greater than the maximum usual value 297.248.

Option - D) a) 275 b) yes, because 325 is beyond $\mu + 2\sigma$ .