Two analysts are going to compute confidence intervals for the unknown population mean lifetime of batteries being used
Posted: Wed May 11, 2022 8:53 am
Two analysts are going to compute confidence intervals for the
unknown population mean lifetime of batteries being used in a
particular brand of cellphones. The 1st analyst selects a random
sample of batteries and computes a 95% confidence interval that has
a margin of error of .85 hours. The 2nd analyst selects a random
sample of batteries and computes a 99% confidence interval that has
a margin of error of .70 hours. Both samples have the same standard
deviation of 4 hours. Which analyst will have a wider interval?
The 2nd analyst
It depends on whether we are using a z or a t to determine the
confidence intervals.
The 1st analyst
We need the sample size to get the degrees of freedom in order
to answer the question.
Both confidence intervals will be the same width.
unknown population mean lifetime of batteries being used in a
particular brand of cellphones. The 1st analyst selects a random
sample of batteries and computes a 95% confidence interval that has
a margin of error of .85 hours. The 2nd analyst selects a random
sample of batteries and computes a 99% confidence interval that has
a margin of error of .70 hours. Both samples have the same standard
deviation of 4 hours. Which analyst will have a wider interval?
The 2nd analyst
It depends on whether we are using a z or a t to determine the
confidence intervals.
The 1st analyst
We need the sample size to get the degrees of freedom in order
to answer the question.
Both confidence intervals will be the same width.