Question

Obtain 95% confidence interval in the following studies . Six coins of the same type are discovered at an archaeological site. If their weights on average are significantly different from 5.25 grams then it can be assumed that their provenance is not the site itself. The coins are weighed and have mean 4.73 g with sample standard deviation 0.18 g. Obtain 95% confidence interval for the mean.

Answer 1

Solution :

sample size = n = 6

Degrees of freedom = df = n - 1 = 5

t /2,df = 2.571

Margin of error = E = t/2,df * (s /n)

= 2.571 * (0.18 / 6)

Margin of error = E = 0.19

The 95% confidence interval estimate of the population mean is,

- E < < + E

4.73 - 0.19 < < 4.73 + 0.19

4.54 < < 4.92

(4.54, 4.92)