You are given the sample mean and the population standard deviation. Use this in
ID: 3222428 • Letter: Y
Question
You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Which interval is wider? If convenient, use technology to construct the confidence intervals.
A random sample of
4444
gas grills has a mean price of
$646.90646.90.
Assume the population standard deviation is
$59.5059.50.
The 90% confidence interval is
(nothing,nothing).
(Round to one decimal place as needed.)
The 95% confidence interval is
(nothing,nothing).
(Round to one decimal place as needed.)
Which interval is wider? Choose the correct answer below.
The 90% confidence interval
The 95% confidence interval
Explanation / Answer
The statistical software output for this problem is:
One sample Z confidence interval:
: Mean of population
Standard deviation = 59.5
90% confidence interval results:
95% confidence interval results:
Hence,
The 90% confidence interval is:
(632.1, 661.7)
The 95% confidence interval is:
(629.3, 664.5)
The 95% confidence interval is wider.
Mean n Sample Mean Std. Err. L. Limit U. Limit 44 646.9 8.9699625 632.14572 661.65428Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.