# He 99.7% confidence interval for the mean of a population is (14, 44). What is the value of s divided by square root of n

1 answer

###### Question:

He 99.7% confidence interval for the mean of a population is (14, 44). What is the value of s divided by square root of n

## Answers

Range of population mean = Sample mean +/- Z*s/Sqrt (n)If s/Sqrt (n) = x, then(14,44) = sample mean +/- Z*xAt 99.7% confidence level, Z = 1.96ButSample mean = (min. range + max. range)/2 = (14+44)/2 = 29Then,14 = 29 -Z*x ---- (1)44 = 29+Z*x ---- (2)Applying any of the equations, say (1),14 = 29 - 1.96*x-15 = -1.96xx = 7.653Therefore,x = s/Sqrt (n) = 7.653

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