Question

A new battery is expected to have a storage capacity of 60 ampere-hour (A h). A sample is tested, resulting in a 2-side confidence interval of (63 A h ≤ μ ≤ 72 A h) with 95 % Confidence. Which conclusion is correct?

The battery storage capacity is not significantly different than 60 A h, at a confidence level of 95 %
The battery storage capacity is significantly different than 60 A h, at a confidence level of 95 %
The battery storage capacity is significantly higher than 60 A h, at a confidence level of 95 %
The battery storage capacity is significantly lower than 60 A h, at a confidence level of 95 %

Answer 1

Option B) The battery storage capacity is significantly different than 60 Ah, at a confidence level of 95 %

Explanation:

We are given the following in the question:

Mean storage capacity = 60 ampere-hour

95% confidence interval =

`63\leq \mu \leq 72`

Thus, the correct answer based on the confidence interval is

Option B) The battery storage capacity is significantly different than 60 Ah, at a confidence level of 95 %

Since it is a two sided test we test whether the mean storage capacity is 60 Ah or different than 60 Ah

Thus, the battery storage is different from 60 Ah because the mean storage capacity does not lie in the 95% confidence interval.