Question

Zappos Management plans to fire any Customer Loyalty Team member with an overall customer satisfaction survey rating in the 2.5%ile (bottom 2.5%). If the population of Customer Loyalty Team members have normally distributed overall customer satisfaction survey ratings with a mean µ = 4.25 and a standard deviation of σ = 0.6, what overall customer satisfaction survey ratings would result in a team member being fired? How many team members (out of N = 250) would expect to be fired?

There are 2 different answers posted for this same question. Both of the answers can't be correct, because there is only one correct answer. Which is the correct answer?

Any rating of 3.05 or below; expected for 63 Customer Loyalty Team members

Any rating of 3.05 or below; expected for 6 Customer Loyalty Team members

Any rating of 3.65 or below; expected for 6 Customer Loyalty Team members

Any rating of 3.65 or below; expected for 63 Customer Loyalty Team members

Any rating of 5.45 or below; expected for 63 Customer Loyalty Team members

Any rating of 5.45 or below; expected for 6 Customer Loyalty Team members

Answer 1

Solution:-

Given

Let X be customer Loyality Team members

using Z-table

N = 250

Expected = 250 0.025 = 6.25

  

Any Rating 3.05 or below, expected for 6 customer Loyality Team member