Purchase Solution

# Confidence Interval: Bottles of Water

Not what you're looking for?

A bottled water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. The water bottling company's specifications state that the standard deviation of the amount of water is equal to 0.02 gallon. A random sample of 50 bottles is selected, and the sample mean amount of water per 1-gallon bottle is 0.995 gallon

a. Construct a 99% confidence interval estimate for the population mean amount of water included in a 1-gallon bottle.

b. On the basis of these results, do you think that the distributor has a right to complain to the water bottling company? Why?

c. Must you assume that the population amount of water per bottle is normally distributed here? Explain.

d. Construct a 95% confidence interval estimate. How does this change your answer to (b)?

##### Solution Summary

The problem is solved in details in EXCEL.

Solution provided by:
###### Education
• MSc, Osmania University
• MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
• BSc, Banaras Hindu University
###### Recent Feedback
• "Very fast turnaround. Excellent communication! Much appreciated!"
• "excellent"
• "excellent"
• "excellent work"
• "Fantastic..great solution and very well explained!!!!"

##### Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

##### Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

##### Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.