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A Book Publisher Knows That It Takes an Average of Nine

question 6

Essay

A book publisher knows that it takes an average of nine business days from when the material for the book is finalized until the first edition is printed and ready to sell. Suppose the exact amount of time has a standard deviation of four days.
A) Suppose the publisher examines the printing time for a sample of 36 books. What is the probability that the sample mean time is shorter than eight days?
B) Suppose the publisher examines the printing time for a sample of 36 books. What is the probability that the sample mean time is between 7 and 10 days?
C) Suppose the publisher signs a contract for the printer to print 100 books. If the average printing time for the 100 books is longer than 9.3 days, the printer must pay a penalty. What is the probability the penalty clause will be activated?
D) Suppose the publisher signs a contract for the printer to print 10 books. If the average printing time for the 10 books is longer than 9.7 days, the printer must pay a penalty. What is the probability the penalty clause will be activated?

Definitions:

Bogus E-mails

False or fake emails typically sent for fraudulent purposes or to spread malware.

Personal Information

Data that relates to an identifiable individual, including name, address, phone number, and often more sensitive data like health or financial details.

Child Pornography

Illegal material that depicts minors in explicit sexual situations, which is prohibited and penalized under law.

Pedophiles

Adults who are sexually attracted to prepubescent children, which is both a criminal and psychological issue.