Question

HomeworK.Homework 2.1 Score:0.4 of 1 pt 14 of 14 (12 complete) 2.5.51 The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards cerer approximately bell-shaped. Compare the z-scores for the actors in the following situation Best Actor μ: 42.0 σ=94 Best Supporting Actor μ-55.0 and Exams 15 n a particular year, the Best Actor was 40 years old and the Best Supporting Actor was 70 years old Determine the z-scores for each Best Actor z □ Best Supporting Actor. □ Round to two decimal places as needed ) er Contents ssible Resources is for Success ols for Success Enter your answer in the edit telds and then click Check Ansiser parn ean Muitimedia Library 2 3 4 5 6 7 8 9

Answer 1

For Best actor

We are given  $\mu$ = 42 and  $\sigma$ = 9.4

We have to find the Z score for the best actor was 40 years

i.e x = 40

Z = ( x - $\mu$ )/$\sigma$

Z = (40-42)/9.4

Z = -0.21

Now for Best supporting actor if $\mu$ = 55 and  $\sigma$ = 15

We have to find z score if best supporting actor was y = 70

Z = (y - $\mu$ )/$\sigma$

Z = (70-55)/15

Z = 1