Rick operates a concession stand serving Iced Tea at the Los Angeles County Fair.  Ben is the only employee stationed at his stand.  Also, suppose that the following information holds good.  The mean service time is six minutes.   Control limits are 3 standard deviations on either side of the mean service time. The standard deviation is 0.5 min. Lower and Upper specification limits for a service time are 5.0 minutes and 7.0 minutes, respectively. Based on the above information, we can best infer that: a. Rick needs to change the lower spec. limit to 4.5 minutes and the upper spec. limit to 7.5 minutes. b. Rick always serves iced tea within the time limit expectations of any customer. c. Rick service process is NOT a capable one. d. Rick service process is a capable one. e. b and d are true.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Rick operates a concession stand serving Iced Tea at the Los Angeles County Fair.  Ben is the only employee stationed at his stand.  Also, suppose that the following information holds good. 

  • The mean service time is six minutes.  
  • Control limits are 3 standard deviations on either side of the mean service time.
  • The standard deviation is 0.5 min.
  • Lower and Upper specification limits for a service time are 5.0 minutes and 7.0 minutes, respectively.

Based on the above information, we can best infer that:


a. Rick needs to change the lower spec. limit to 4.5 minutes and the upper spec. limit to 7.5 minutes.
b. Rick always serves iced tea within the time limit expectations of any customer.
c. Rick service process is NOT a capable one.
d. Rick service process is a capable one.
e. b and d are true.
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