Name (Round all answers to two decimal places.) Quiz 2 MAT125 1) On a test, assume = 71 and =2.43. a) If a student's test score is 76, find their z-score. b) If a student's test score is 67, find their z-score. c) If a student's z-score is -1.64, find their test score. d) If a student's z-score is 2.58, find their test score._ 2) Over the summer, Patty competed in an aquathon, which is a multi-sport race consisting of one mile swim immediately followed by a 5-mile run. She swam the mile in 32.82 minutes and ran the 5-miles in 43.57 minutes. The mean and standard deviation for the mile swim was 34.62 minutes and 1.46 minutes, respectively and the mean and standard deviation for the 5-mile run was 45.76 minutes and 2.38 minutes, respectively. In which portion of the aquathon did Patty do better in relative to all those who participated? Show work and explain your reasoning. 3) The following represent statistics of weekly salaries at Acme Corporation. Mean = $758 Median = $773 Mode = $755 Standard deviation = $27 First Quartile = $719 Third Quartile = $786 88th Percentile = $803 P63=$782 a) What is the most common salary? b) What salary did half the employee's salaries surpass? c) About what percent of employee's salaries is below $803? d) What percent of the employee's salaries is above $782? e) What salary is 1.5 standard deviations below the mean?_ f) About what percent of employee's salaries is below $719? g) What salary is 2 standard deviations above the mean?_ h) Suppose the weekly salaries have a distribution that is bell-shaped, about what percent of the salaries would be between $677 and $839? 1