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"Find the 95% confidence interval lower limit for the mean when the sample mean is equal...

"Find the 95% confidence interval lower limit for the mean when the sample mean is equal to 69, the standard deviation is known to be 17, and the sample size is 9"

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Answer:

Given that:

Find the 95% confidence interval lower limit for the mean when the sample mean is equal to 69, the standard deviation is known to be 17, and the sample size is 9

95% confidence Interval for mean

X bar = 69, sigma= 17 , alpha = 0.05 , Z critical = 1.96

Sample size = n = 9

X bar +/- [ Z c * sigma / sqrt( n ) ]

69 +/- [ 1.96* 17 / sqrt ( 9 ) ]

69 +/- [ 1.96* 17 / 3]

69 +/- [ 1.96* 5.66]

69 +/- 11.09

69 - 11,09 < mu < 69 + 11.09

57.91 < mu < 80.09

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