Construct a 95% t-interval about the population mean. Round to the nearest hundr
ID: 3294634 • Letter: C
Question
Construct a 95% t-interval about the population mean. Round to the nearest hundredth. Assume the data come from a population that is approximately normal with no outliers. The heights of 20-to 29-year-old females are known to have a population standard deviation sigma = 2.7 inches. A simple random sample of n = 15 females 20 to 29 years old results in the accompanying data. (64.92, 67.78): It can be stated with 95% confidence that the mean height of 20-to 29-year-old females is between 64.92 and 67.77 inches. (65.12, 67.58): It can be stated with 95% confidence that the mean height of 20-to 29-year-old females is between 65.12 and 67.58 inches (65.20, 67.50): It can be stated with 95% confidence that the mean height of 20 to 29-year-old females is between 65.20 and 67.50 inches. (6485, 6785): It can be stated with 95% confidence that the mean height of 20 to 29-year-old females is between 64.85 and 67.85 inches.Explanation / Answer
The 95% confidence interval for this problem is:
One sample T confidence interval:
: Mean of variable
95% confidence interval results:
Hence,
Option A is correct.
Variable Sample Mean Std. Err. DF L. Limit U. Limit var13 66.35 0.66632253 14 64.92088 67.77912