Find probability that mean blackness of spots is less

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Reference no: EM13146118

Continueing its quality improvement effort first described inthe Chapter 6 "Managing the Springville Herald" case, theproduction department of the newspaper has been monitoring theblackness of the newspaper print. As before, blackness ismeasured on a standard scale in which the target value is1.0. Data collected over the past year indicate that theblackness is normally distributed, with a mean of 1.005 and astandard deviation of 0.10.

Each day, 25 spots on the first newspaper printed are chosen,and the blackness of the spots is measured. Assuming that thedistribution has not changed from what it was in the past year,what is the probability that the mean blackness of the spots is

a. less than 1.0?
b. between 0.95 and 1.0?
c. between 1.0 and 1.05?
d. less than 0.95 or greater than 1.05?
e. Suppose that the mean blackness of today's sample of25 spots is 0.952. What conclusion can you make about theblackness of the newspaper based on this result? Explain.

Reference no: EM13146118

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