A sample is used to obtain a 95% confidence interval for the mean of a population.The confidence interval goes from 10.89 to 13.21.If the same sample had been used to test H₀: $\mu$ = 12 vs.H₁:$\mu$$\neq$12,H₀ could not be rejected at the 0.05 level.

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Since 12 is within the 95% confidence interval (10.89 to 13.21), we do not have enough evidence to reject the null hypothesis at the 0.05 significance level.

A Sample Is Used to Obtain a 95% Confidence Interval μ\muμ

A Sample Is Used to Obtain a 95% Confidence Interval $\mu$