The heights of men in a particular district are distributed with mean cm and the standard deviation

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The heights of men in a particular district are distributed with mean cm and the standard deviation o cm. On the basis of the results obtained from a random sample of 100 men from the district, the 95% confidence interval for was calculated and found to be (177.22 cm, 179.18 cm). Calculate

(a) the value of the sample mean,

(b) the value of o,

(c) a symmetric 90% confidence interval for .

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