Question 1
A confidence interval for (
μ1 -
μ2) is (5, 8). Which of the following inferences is correct?
◦
μ1 <
μ2◦ no significant difference between means
◦
μ1 >
μ2◦
μ1 =
μ2Question 2
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:
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.
◦ 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 room temperature for adults exceeds that for children.
◦ It can be concluded at the 99% confidence level that the true mean comfortable room temperature is between -2.9 and 3.1.
◦ It can be concluded at the 99% confidence level that the true mean comfortable room temperature for children exceeds that for adults.
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