In a controlled laboratory environment, a random sample of 10 adults and a random sample of 10 children were tested by a psychol
ogist to determine the room temperature that each person finds most comfortable. The data are summarized below. 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% confidence interval turns out to be (-2.9, 3.1). Select the correct statement. Sample Mean Sample Variance
Adults 77.5 4.5
Children 74.5 2.5
a) 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.
b) It can be concluded at the 99% confidence level that the true mean room temperature for adults exceeds that for children.
c) It can be concluded at the 99% confidence level that the true mean comfortable room temperature for children exceeds that for adults.
d) The probability that the true mean difference in comfortable room temperature is between -2.9 and 3.1 is equal to 0.99.
a) 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.
The answer would be the first choice which is d = n + 10, d = 3n. Deepak is 10 years older than Nina, so knowing this, the equation cancels out B and D. And Deepak is 3 times Nina's age, not Nina's age is three times Deepak's. It is not the other way around.
