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Some assembly required A company that markets
Chapter 5, Problem 37RE(choose chapter or problem)
A company that markets build-it-yourself furniture sells a computer desk that is advertised with the claim “less than an hour to assemble.” However, through post purchase surveys the company has learned that only 25% of its customers succeeded in building the desk in under an hour. The mean time was 1.29 hours. The company assumes that consumer assembly time follows a Normal model.
a) Find the standard deviation of the assembly time model.
b) One way the company could solve this problem would be to change the advertising claim. What assembly time should the company quote in order that 60% of customers succeed in finishing the desk by then?
c) Wishing to maintain the “less than an hour” claim, the company hopes that revising the instructions and labeling the parts more clearly can improve the 1-hour success rate to 60%. If the standard deviation stays the same, what new lower mean time does the company need to achieve?
d) Months later, another post purchase survey shows that new instructions and part labeling did lower the mean assembly time, but only to 55 minutes. Nonetheless, the company did achieve the 60%-in-an-hour goal, too. How was that possible?
Questions & Answers
QUESTION:
A company that markets build-it-yourself furniture sells a computer desk that is advertised with the claim “less than an hour to assemble.” However, through post purchase surveys the company has learned that only 25% of its customers succeeded in building the desk in under an hour. The mean time was 1.29 hours. The company assumes that consumer assembly time follows a Normal model.
a) Find the standard deviation of the assembly time model.
b) One way the company could solve this problem would be to change the advertising claim. What assembly time should the company quote in order that 60% of customers succeed in finishing the desk by then?
c) Wishing to maintain the “less than an hour” claim, the company hopes that revising the instructions and labeling the parts more clearly can improve the 1-hour success rate to 60%. If the standard deviation stays the same, what new lower mean time does the company need to achieve?
d) Months later, another post purchase survey shows that new instructions and part labeling did lower the mean assembly time, but only to 55 minutes. Nonetheless, the company did achieve the 60%-in-an-hour goal, too. How was that possible?
ANSWER:Step 1 of 4
a) Determine the z-score associated with 0.25 in the table.
-0.675
Determine the standard deviation:
\(\sigma=\frac{x-\bar{x}}{z}=\frac{1-1.29}{-0.675} \approx 0.4296\)