Question

A confidence interval for a sample is given, followed by several hypotheses to test using that sample. In each case, use the confidence interval to give a conclusion of the test (if possible) and also state the significance level you are using.
     A 99% confidence interval for μ :120 to 168
a) Ho: μ = 104 vs Ha: μ ≠ 104
Conclusion _____ Ho
(reject or do not reject)

Significance level: _______
(10%, 5%, 95%, 1%, 90% or 99%)

b) Ho: μ = 123 vs Ha: μ ≠ 123
Conclusion _____ Ho
(reject or do not reject)

Significance level: _______
(10%, 5%, 95%, 1%, 90% or 99%)

c) Ho: μ = 195 vs Ha: μ ≠ 195
Conclusion _____ Ho
(reject or do not reject)

Significance level: _______
(10%, 5%, 95%, 1%, 90% or 99%)

Answer 1

A 99% confidence interval for μ :120 to 168

a) Ho: μ = 104 vs Ha: μ ≠ 104

Conclusion : Since 104 lies outside the confidence interval, so we reject H₀

Significance level: (100 - 99)% = 1%

b) Ho: μ = 123 vs Ha: μ ≠ 123

Conclusion : Since 123 lies within the confidence interval, so we fail to reject H₀

Significance level: (100 - 99)% = 1%

c) Ho: μ = 195 vs Ha: μ ≠ 195

Conclusion : Since 195 lies outside the confidence interval, so we reject H₀

Significance level: (100 - 99)% = 1%