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Given a known standard deviation of 0.5, n=25, H0: µ=12, H1: µ<12, a sample mean of...

Given a known standard deviation of 0.5, n=25, H0: µ=12, H1: µ<12, a sample mean of 11.8 and a level of significance of 0.05, what is an appropriate confidence interval on µ?

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Answer #1

95% confidence interval for is

- Z * ​​​​​​ / sqrt(n) < < + Z * ​​​​​​ / sqrt(n)

11.8 - 1.96 * 0.5 / sqrt(25) < < 11.8 + 1.96 * 0.5 / sqrt(25)

11.604 < < 11.996

95% CI is ( 11.604 , 11.996 )

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