A boss wants to show that productivity decreases when the boss leaves the office. An office of 26 employees handed in productivity reports when the boss was absent (M1=5, SS1=250) compared to 36 employees who handed in reports when the boss was present (M2=8, SS2=420). a) What is the null and alternative hypothesis? a Ho:μ 1-μ2≠0; H1:μ 1-μ2=0 b Ho:μ 1-μ2<0; H1:μ 1-μ2>0 c Ho:μ 1-μ2=0; H1:μ 1-μ2≠0 d Ho:μ 1-μ2>0; H1:μ 1-μ2<0 b) Compute tobt?c) Compute df?d) Given the α=0.05, compute the negative value of tcrit?e) Is tobt significant?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A boss wants to show that productivity decreases when the boss leaves the office. An office of 26 employees handed in productivity reports when the boss was absent (M₁=5, SS1=250) compared to 36 employees who handed in reports when the boss was present (M₂=8, SS2=420).

a) What is the null and alternative hypothesis?

a		Ho:μ 1-μ2≠0; H1:μ 1-μ2=0
b		Ho:μ 1-μ2<0; H1:μ 1-μ2>0
c		Ho:μ 1-μ2=0; H1:μ 1-μ2≠0
d		Ho:μ 1-μ2>0; H1:μ 1-μ2<0

b) Compute t_obt?

c) Compute df?

d) Given the α=0.05, compute the negative value of t_crit?

e) Is t_obtsignificant?

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