To compare the battery life of Duracell versus Energizer batteries, a sample of 140 Duracell batteries lasted an average of 345 minutes with a standard deviation of 95 minutes and a sample of 125 Energizer batteries lasted an average of 280 minutes with a standard deviation of 86 minutes. a) At the 1% level of significance, test the hypothesis that Duracell batteries last at least 45 minutes longer on average than Energizer batteries? b) What is the p-value?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
icon
Related questions
Topic Video
Question

To compare the battery life of Duracell versus Energizer batteries, a sample of 140 Duracell batteries lasted an average of 345 minutes with a standard deviation of 95 minutes and a sample of 125 Energizer batteries lasted an average of 280 minutes with a standard deviation of 86 minutes.
a) At the 1% level of significance, test the hypothesis that Duracell batteries last at least 45 minutes longer on average than Energizer batteries?
b) What is the p-value?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,