Question

The amounts (in ounces) of juice I eight randomly selected juice bottles are: 15.9, 15.6 15.0 15.7 15.0 15.5 15.6 15.5 Construct a 98% confidence interval for the mean amount of juice in all such bottles.

A. 15.16 oz < p < 15.79oz

B. 15.89 oz < p < 15.06oz

C. 15.06 oz < p < 15.89oz

D. 15.79 oz < p < 15.16oz

Answer 1

Let X be the amount of juice.

Given data:

x x^2

15.9 252.81

15.6 243.36

15 225

15.7 246.49

15 225

15.5 240.25

15.6 243.36

15.5 240.25

Tot=123.8 1916.52

The sample mean of X is given by:

The standard deviation is:

The 98% confidence interval for the population mean is:

.

## by using t table

Therefore the nearest choice is:

A)