Question

A college admissions office needs to compare scores of students that take the SAT with those who take the The college applicants who took the SAT, had a mean of 1020 and a standard deviation of 194. Those who The college applicants who took the ACT, had a mean 21 and a standard deviation of 5.4. D C Applicant SAT ACT X z-score = X 950 1320 19 28 284 2 132-1o2 17 Calculate the standardized z-score for Applicant A 1296 18. Saae A 19 Calculate the standardized z-score for Applicant B.2 23-21 Which applicant has the higher admission score, A or B? Assuming that SAT scores are normally distributed, what proportion of applicants score higher than applicant A on the SAT tests? 20. Calculate the percentile rank for applicant A 21. Calculate the standardized z-score for Applicant C 22. Calculate the standardized z-score for Applicant D. 23. Which of the two has the higher score, C or D? 24. A communication cable company has determined that the number of push-button terminal switches demanded daily has a normal distribution with mean 200 and standard deviation 50 nasmal 25. Is this a binomial, discrete, or normal probability distribution? On what percentage of days will the demand be less than 90 switches? Nowaled 26. On what percentage of days will the demand fall between 225 and 275 switches? 27.

Answer 1

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