1.H₀: 200 versus H₁: < 200, = 0.05, x = 195, s = 15, n = 25

a)t = -1.76 ,p = 0.0543Significant Difference ( = 0.05)?YesNo

b)t = -1.67 ,p = 0.0443Significant Difference ( = 0.05)?YesNo

c)t = -1.96 ,p = 0.0443Significant Difference ( = 0.05)?YesNo

d)None of the above

2.H₀: 15 versus H₁: > 15, = 0.05, x = 17, s = 8, n = 49

a)t = 1.57 ,p = 0.0333Significant Difference ( = 0.05)?YesNo

b)t = 1.75 ,p = 0.0433Significant Difference ( = 0.05)?YesNo

c)t = 1.75 ,p = 0.0433Significant Difference ( = 0.05)?YesNo

d)None of the above

3.H₀: 45 versus H₁: > 45, = 0.05, x = 48, s = 9, n = 30

a)t = 1.38 ,p = 0.0991Significant Difference ( = 0.05)?YesNo

b)t = 1.38 ,p = 0.0991Significant Difference ( = 0.05)?YesNo

c)t = 1.83 ,p = 0.0391Significant Difference ( = 0.05)?YesNo

d)None of the above

4.H₀: = 115 versus H₁: = 115, = 0.05, x = 117, s = 11, n = 35

a)t = 1.80 ,p = 0.0297Significant Difference ( = 0.05)?YesNo

b)t = 1.08 ,p = 0.2897Significant Difference ( = 0.05)?YesNo

c)t = 1.80 ,p = 0.2897Significant Difference ( = 0.05)?YesNo

d)None of the above

5.H₀: = 255 versus H₁: = 255, = 0.05, x = 245, s = 25, n = 28

a)t = -2.99 ,p = 0.0537Significant Difference ( = 0.05)?YesNo

b)t = -1.12 ,p = 0.0437Significant Difference ( = 0.05)?YesNo

c)t = -2.12 ,p = 0.0437Significant Difference ( = 0.05)?YesNo

d)None of the above

x= mean. Could you please explain the answers to these questions? I am struggling to identify when there is a significant difference. Could you specifically explain what the significant differences mean? Thank you.