Confined to 629 valid cases whose age was no higher than 40 in the GSS 2018 data, we find that the BMI has a sample mean of 28.145 and a sample standard deviation of 6.847. For the mean BMI of the entire population of American young adults, construct a 90% confidence interval (use t critical values of for this calculation).

What is the standard error of the sampling distribution of sample means of the BMI?

Calculate the lower and upper limits of the 90% confidence interval.

Use your calculation results to complete blanks in the following paragraph:

The lower and upper limits of this 90% confidence interval indicate that for the entire population of American young adults, the confidence interval ranging from ______________ [1 point] to ______________ has a probability of ______________% to include the population mean of BMI.