Operations Manager in an automobile assembly plant wants to reduce the time a process takes to assemble a part. Study team collects data and determines that the assembly times are normally distributed with a mean (u) of 75 seconds and standard deviation (o) of 6 seconds. Use the Z table to answer the following questions. To receive full credit, you need to show your work of applying the standardizing formula, and include one graph in the original variable and one graph in Z as illustrations for each question. Extra point if you can use symbols correctly. (i). What proportion of assembly times are more than 80 seconds? (ii). What proportion of assembly times are between 70 and 80 seconds? (iii). What assembly time is the lower limit of the 1% slowest times? (Note: faster time means smaller value) B I U I E x x, E E 12pt A A Paragraph fx

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
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Operations Manager in an automobile assembly plant wants to reduce the time a process takes to
assemble a part. Study team collects data and determines that the assembly times are normally
distributed with a mean (u) of 75 seconds and standard deviation (0) of 6 seconds. Use the Z table
to answer the following questions. To receive full credit, you need to show your work of applying
the standardizing formula, and include one graph in the original variable and one graph in Z as
illustrations for each question. Extra point if you can use symbols correctly.
(i). What proportion of assembly times are more than 80 seconds?
(ii). What proportion of assembly times are between 70 and 80 seconds?
(iii). What assembly time is the lower limit of the 1% slowest times? (Note: faster time means smaller
value)
B I U
• A
I E E =
x x, = E
12pt
Paragraph
Transcribed Image Text:Operations Manager in an automobile assembly plant wants to reduce the time a process takes to assemble a part. Study team collects data and determines that the assembly times are normally distributed with a mean (u) of 75 seconds and standard deviation (0) of 6 seconds. Use the Z table to answer the following questions. To receive full credit, you need to show your work of applying the standardizing formula, and include one graph in the original variable and one graph in Z as illustrations for each question. Extra point if you can use symbols correctly. (i). What proportion of assembly times are more than 80 seconds? (ii). What proportion of assembly times are between 70 and 80 seconds? (iii). What assembly time is the lower limit of the 1% slowest times? (Note: faster time means smaller value) B I U • A I E E = x x, = E 12pt Paragraph
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