USe the following to find: a the margin of error b the confidence interval for t

Question

USe the following to find:

a the margin of error

b the confidence interval for the populatin mean µ Assume the the sample is a simple random sample and the population has a normal distribution. Car pollution. 99% confidence; n = 7; xbar = 0.12; s = 0.04 USe the following to find:

a the margin of error

b the confidence interval for the populatin mean µ Assume the the sample is a simple random sample and the population has a normal distribution. Car pollution. 99% confidence; n = 7; xbar = 0.12; s = 0.04

Explanation / Answer

For 99% COnf Level, z = 2.576 we have given data n = 7 & Std Dev s = 0.04 So Sample Std dev sx = s/vn = 0.04/v7 = 0.015 Margin of Error E is given by E = sx * z = 0.015*2.576 = 0.0386.....Ans (A) So Interval estimates are ± E = 0.12 ± 0.0386 SO Interval est are 0.0814 & 0.1586 ......Ans (b) We can also write this in form xbar - E < µ

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