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Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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can you solve the last point question 2 C please for making type I error

Transcribed Image Text:2.2 Use case 2: A consumer organization tested two paper shredders, the Piranha and the Crocodile,
designed for home use. Each of 10 randomly selected volunteers shredded 100 sheets of paper with the
Piranha, and then another sample of 10 randomly selected volunteers each shredded 100 sheets with the
Crocodile. The Piranha took an average of 203 seconds to shred 100 sheets with a standard deviation of 6
seconds. The Crocodile took an average of 187 seconds to shred 100 sheets with a standard deviation of 5
seconds. Assume that the shredding times for both machines are approximately normally distributed with
equal but unknown standard deviations.
a. Construct a 99% confidence interval for the difference between the two population means.
b. Using a 1% significance level, can you conclude that the mean time taken by the Piranha to shred 100
sheets is higher than that for the Crocodile?
c. What would your decision be in part b if the probability of making a Type I error were zero? Explain.
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