1.H₀: 200 versus H₁: < 200, = 0.05, x = 198, = 6, n = 25

a)z = -1.67 ,p = 0.0478Significant Difference ( = 0.05)?YesNo

b)z = -1.67 ,p = 0.0578Significant Difference ( = 0.05)?YesNo

c)z = -1.76 ,p = 0.0478Significant Difference ( = 0.05)?YesNo

d)None of the above

2.H₀: 49 versus H₁: < 49, = 0.05, x = 45, = 11, n = 36

a)z = -2.18 ,p = 0.0146Significant Difference ( = 0.05)?YesNo

b)z = -2.81 ,p = 0.0246Significant Difference ( = 0.05)?YesNo

c)z = -2.81 ,p = 0.0346Significant Difference ( = 0.05)?YesNo

d)None of the above

3.H₀: 60 versus H₁: > 60, = 0.05, x = 65, = 10, n = 36

a)z = 3.50 ,p = 0.0130Significant Difference ( = 0.05)?YesNo

b)z = 2.00 ,p = 0.0013Significant Difference ( = 0.05)?YesNo

c)z = 3.00 ,p = 0.0013Significant Difference ( = 0.05)?YesNo

d)None of the above

4.H₀: 80 versus H₁: > 80, = 0.05, x = 83, = 15, n = 36

a)z = 1.02 ,p = 0.1551Significant Difference ( = 0.05)?YesNo

b)z = 1.40 ,p = 0.1551Significant Difference ( = 0.05)?YesNo

c)z = 1.20 ,p = 0.1151Significant Difference ( = 0.05)?YesNo

d)None of the above

5.H₀: 33 versus H₁: < 33, = 0.05, x = 31, = 9, n = 36

a)z = -1.11 ,p = 0.0912Significant Difference ( = 0.05)?YesNo

b)z = -1.44 ,p = 0.0912Significant Difference ( = 0.05)?YesNo

c)z = -1.55 ,p = 0.0912Significant Difference ( = 0.05)?YesNo

d)None of the above

x = sample average. Could you please explain these answers? Thank you.