Question

A sample of 100 gave a mean of 7.4kg and a standard deviation of 1.2kg. Find 95% confidence limit for the population mean

Answer 1

95% confidence limit for the population mean is 99.7648 kg

Step-by-step explanation:

Given,

Deviation = 1.2 kg

$Standard\ error = \frac{deviation}{\sqrt {100}}$

= $\frac{1.2}{\sqrt{100}}$

= $\frac{1.2}{10}$

= 0.12 Kg

$Confidence \ interval = Mean \pm 1.96\times standard \ error$

= $100 \pm 1.96\times 0.12$

= 99.7648 kg

95% confidence limit for the population mean is 99.7648 kg