A quality analyst conducts a small-scale study to compare the average capacity of two brands of AA batteries (A and B). A random sample of 10 batteries of Brand A has an average capacity of 1065 mAh (milliampere-hours), and an independent random sample of 10 batteries of Brand B has an average capacity of 994 mAh. The sample standard deviations are 23.6 mAh and 38.0 mAh, respectively. It is assumed that battery capacity is normally distributed for both brands and the two distributions have the same variance. Find the upper limit of a 95% confidence interval for the difference between the population means. Form the confidence interval around a positive point estimate for the difference between the means. In order to obtain a positive point estimate, make sure you subtract the lower value from the higher value when calculating the difference between the sample means. (Provide your answer as a number rounded to the nearest integer.)

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
Question

A quality analyst conducts a small-scale study to compare the average capacity of two brands of AA batteries (A and B). A random sample of 10 batteries of Brand A has an average capacity of 1065 mAh (milliampere-hours), and an independent random sample of 10 batteries of Brand B has an average capacity of 994 mAh. The sample standard deviations are 23.6 mAh and 38.0 mAh, respectively. It is assumed that battery capacity is normally distributed for both brands and the two distributions have the same variance.

Find the upper limit of a 95% confidence interval for the difference between the population means.

Form the confidence interval around a positive point estimate for the difference between the means. In order to obtain a positive point estimate, make sure you subtract the lower value from the higher value when calculating the difference between the sample means.

(Provide your answer as a number rounded to the nearest integer.)

Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
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,