The bottlers of a new fruit juice daily select a random sample of 12 bottles of the drink to estimate the mean quantity of juice in the bottles filled that day.On one such day,the following results were observed: = 12.03; s = 0.12.Based on this information,the upper limit for a 95 percent confidence interval estimate is approximately 12.106 ounces.

Question

The bottlers of a new fruit juice daily select a random sample of 12 bottles of the drink to estimate the mean quantity of juice in the bottles filled that day.On one such day,the following results were observed:  = 12.03; s = 0.12.Based on this information,the upper limit for a 95 percent confidence interval estimate is approximately 12.106 ounces.

Quizplus · Accepted Answer

The upper limit for a 95% confidence interval estimate can be calculated as:

Upper limit = sample mean + (critical value x standard error)

The critical value for a 95% confidence interval with 11 degrees of freedom (12 bottles in the sample minus 1) is 2.201.

The standard error can be calculated as the standard deviation of the sample divided by the square root of the sample size:

Standard error = s / sqrt(n) = 0.12 / sqrt(12) = 0.0346.

Therefore, the upper limit can be estimated as:

Upper limit = 12.03 + (2.201 x 0.0346) = 12.1058 ~ 12.106

So the statement is true, and the upper limit for a 95% confidence interval estimate is approximately 12.106 ounces.

The Bottlers of a New Fruit Juice Daily Select a Random