The amounts (in ounces) of juice in eight randomly selected juice bottles are: $$15.0\quad15 .9\quad15 .8\quad15 .7\quad15 .4\quad15 .2\quad15 .2\quad15 .3$$ Construct a 98% confidence interval for the mean amount of juice in all such bottles.
A)(15.04, 15.84)
B)(15.74, 15.14)
C)(15.14, 15.74)
D)(15.04, 15.74)

Question

Quizplus · Accepted Answer

The sample mean and standard deviation are calculated, and using the t-distribution for a 98% confidence interval with 7 degrees of freedom, the interval is (15.14, 15.74).

The Amounts (In Ounces) of Juice in Eight Randomly Selected 15.015.915.815.715.415.215.215.315.0\quad15 .9\quad15 .8\quad15 .7\quad15 .4\quad15 .2\quad15 .2\quad15 .315.015.915.815.715.415.215.215.3

The Amounts (In Ounces) of Juice in Eight Randomly Selected $15.0\quad15 .9\quad15 .8\quad15 .7\quad15 .4\quad15 .2\quad15 .2\quad15 .3$