A new process for producing synthetic diamonds can be operated at a profitable level only if the average weight of the diamonds is greater than 0.5 karat. Sixteen diamonds are generated, with a mean weight of 0.5457 karat and sample standard deviation equals 0.0552 karat. Assuming that the data is normal and using α=0.10, test if the data support the claim that the process is profitable. Group choices  p-value=0.2, evidence not support claim p-value=0.373, evidence support claim p-value=0.373, evidence not support claim p-value=0.02, evidence support claim p-value=0.002, evidence support claim

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 7E
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A new process for producing synthetic diamonds can be operated at a profitable level only if the average weight of the diamonds is greater than 0.5 karat. Sixteen diamonds are generated, with a mean weight of 0.5457 karat and sample standard deviation equals 0.0552 karat. Assuming that the data is normal and using α=0.10, test if the data support the claim that the process is profitable.

Group choices 

p-value=0.2, evidence not support claim
p-value=0.373, evidence support claim
p-value=0.373, evidence not support claim
p-value=0.02, evidence support claim
p-value=0.002, evidence support claim
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