Answer:
553.74≤x≤578.26
Step-by-step explanation:
The formula for calculating the confidence interval is expressed as
CI = xbar±(z×s/√n)
xbar is the mean = 562
s is the standard deviation = 26.1
n is the sample size = 35
z is the z score at 90% CI = 1.645
Substitute the values into the formula
CI = xbar±(z×s/√n)
CI = 561±(1.645×26.1/√35)
CI = 561±(1.645×4.412)
CI = 561±7.257
CI = {561-7.257, 571+7.257}
CI = {553.74, 578.26}
Hence the 90% confidence interval estimate of the name of the population is 553.74≤x≤578.26