In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 49 and a standard deviation of 6. Using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 37 and 61? Do not enter the percent symbol. ans =  %

If z=1.28 find the percentile (nearest whole number,  for the z score.

Q2. The 30% trimmed mean of the following data (120, 150, 170, 177, 178, 181, 198, 250, 450, 955} is: *

Use z scores to compare the given values.   In a recent awards​ ceremony, the age of the winner for best actor was 27 and the age of the winner for best actress were 47. For all best​ actors, the mean age is 42.7 years and the standard deviation is 7.7 years. For all best​ actresses, the mean age is 32.9 years and the standard deviation is 11.2 years.​ (All ages are determined at the time of the awards​ ceremony.) Relative to their​ genders, who had the more extreme age when winning the​ award, the actor or the​ actress? Explain. Since the z score for the actor is z= and the z score for the actress is z=​,the▼actress actor had the more extreme age.

A normally distributed data set has a mean of O and a standard deviation of 2. What is the percent of values between -6.0 and 6.0? (make sure to include % sign in answer.)