RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

CONCEPT OF POINT AND INTERVAL ESTIMATION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
The lifetime of a certain type of battery is known to be normally distributed with a standard deviation of 20 hours. A sample of 50 batteries had a mean lifetime of 120.1 hours. It is desired to construct a 99% confidence interval for the mean lifetime of this type of battery.What is the Confidence Interval to one decimal place?
A
(114.5, 125.6)
B
(112.8, 127.4)
C
(112.82, 127.38)
D
(114.56, 125.64)
Explanation: 

Detailed explanation-1: -10.8 is 2 standard deviations. . represents approximately 48% of the data. A battery lifetime of 561 days is 1 standard deviation above the mean lifetime. Batteries will last longer than 561 days 15.9% of the time.

Detailed explanation-2: -The life expectancy of batteries has a normal distribution with a mean of 350 minutes and a standard deviation of 10 minutes.

There is 1 question to complete.