o just subparts 4, 5 & 6

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 25EQ
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Do just subparts 4, 5 & 6 

4. A company wished to study the effectiveness of a coffee break on productivity of its workers. The
productiveness of nine randomly selected workers were measures on a day with no coffee break and a later
on a day when the workers were given 10-minute coffee break. The scores measuring productivity are
given below. Find the 98% confidence interval for the difference in productivity without and with a coffee
break.
Without break 23 35 29 33 43 32
28 38
41 38 40
43 37 39
With break
29 37 42 30
Transcribed Image Text:4. A company wished to study the effectiveness of a coffee break on productivity of its workers. The productiveness of nine randomly selected workers were measures on a day with no coffee break and a later on a day when the workers were given 10-minute coffee break. The scores measuring productivity are given below. Find the 98% confidence interval for the difference in productivity without and with a coffee break. Without break 23 35 29 33 43 32 28 38 41 38 40 43 37 39 With break 29 37 42 30
5. Using data in question 4, determine whether the coffee breaks increase productivity. Carry out an
appropriate hypothesis test with a = 0.05.
1. Identify the parameters
5. Rejection Region
2. Null Hypothesis
3. Alternative Hypothesis
6. Conclusion
4. Test Statistic
Transcribed Image Text:5. Using data in question 4, determine whether the coffee breaks increase productivity. Carry out an appropriate hypothesis test with a = 0.05. 1. Identify the parameters 5. Rejection Region 2. Null Hypothesis 3. Alternative Hypothesis 6. Conclusion 4. Test Statistic
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