The amounts (in ounces) of juice in eight randomly selected juice bottles are: 15.8, 15.6, 15.1, 15.2, 15.1, 15.5, 15.9, 15.5 construct a 95% confidence interval for the mean amount of juice in all such bottles. assume an approximate normal distribution. a.(15.250, 15.675) b.(15.206, 15.719) c.(15.257, 15.668) d.(15.284, 15.641) e. none of the above

The confidence interval for the population mean is

Further explanation:

The formula for confidence interval can be expressed as follows,

ME represents the Margin of Error.

The formula of margin of error is

Here, Z is the standard normal value, is the standard deviation and n represents the total observation.

Explanation:

The data values are and

The mean can be calculated as follows,

The formula of standard deviation can be expressed as,

The standard deviation is

The margin of error can be obtained as follows.

The confidence interval for the population mean is

Learn more:

1. Learn more about normal distribution

2. Learn more about standard normal distribution

3. Learn more about confidence interval of meanhttps://

Answer details:

Grade: College

Subject: Statistics

Chapter: Confidence Interval

Keywords:  Z-score, eight, amount, ounce, juice bottle, confidence interval, confidence limit, 95 percent, standard normal distribution, standard deviation, test, measure, probability, low score, mean, repeating, indicated, normal distribution, percentile, percentage, undesirable behavior, proportion, empirical rule.