In a controlled laboratory environment, a random sample of 10 adults and a rando
ID: 3324603 • Letter: I
Question
In a controlled laboratory environment, a random sample of 10 adults and a random sample of 10 children were tested by a psychologist to determine the room temperature that each person finds most comfortable. The data are summarized below: Adults(1) Cik) Sample Mean 77.50 F 74.50 F Sample Variance 4.5 2.5 Suppose that the psychologist decides to construct a 99% confidence interval for the difference in mean comfortable room temperatures instead of proceeding with a test of hypothesis. The 99% CI turns out to be (29, 31) Select the correct statement. A. B. C. D. It can be concluded at the 99% confidence level that the true mean comfortable room temperature is between-2.9 and 3.1 degrees. It cannot be concluded at the 99% confidence level that there is actually a difference between the true mean comfortable room temperatures for the two groups. It can be concluded at the 99% confidence level that the true mean comfortable room temperature for children exceeds that for adults. It can be concluded at the 99% confidence level that the true mean comfortable room temperature for adults exceeds that for children.Explanation / Answer
The 99% CI is (-2.9, 3.1)
This CI includes 0. which means we fail to reject null hypothesis (H0: mu1 - m2 = 0)
Hence there are not significant evidence to conclude that there is difference in hte true mean comfortable room temperature for the two groups.
Option B is correct