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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: Sample Mean Sample Variance Adults(1) 77.5° F 4.5 Children(2) 74.5° F 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 (2.9, 3.5) Select the correct statement. O 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. O B. It can be concluded at the 99% confidence level that the true mean comfortable room temperature for adults exceeds that for children. O C. It can be concluded at the 99% confidence level that the true mean comfortable room temperature for children exceeds that for adults. O D. It can be concluded at the 99% confidence level that the true mean comfortable room temperature is between 2.9 and 3.5 degrees.

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: Sample Mean Sample Variance Adults(1) 77.5° F 4.5 Children(2) 74.5° F 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 (2.9, 3.5) Select the correct statement. O 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. O B. It can be concluded at the 99% confidence level that the true mean comfortable room temperature for adults exceeds that for children. O C. It can be concluded at the 99% confidence level that the true mean comfortable room temperature for children exceeds that for adults. O D. It can be concluded at the 99% confidence level that the true mean comfortable room temperature is between 2.9 and 3.5 degrees.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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: Sample Mean Sample Variance Adults(1) 77.5° F 4.5 Children(2) 74.5° F 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% Cl turns out to be (2.9, 3.5) Select the correct statement. 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. O B. It can be concluded at the 99% confidence level that the true mean comfortable room temperature for adults exceeds that for children. O C. It can be concluded at the 99% confidence level that the true mean comfortable room temperature for children exceeds that for adults. O D. It can be concluded at the 99% confidence level that the true mean comfortable room temperature is between 2.9 and 3.5 degrees.
Transcribed Image Text: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: Sample Mean Sample Variance Adults(1) 77.5° F 4.5 Children(2) 74.5° F 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% Cl turns out to be (2.9, 3.5) Select the correct statement. 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. O B. It can be concluded at the 99% confidence level that the true mean comfortable room temperature for adults exceeds that for children. O C. It can be concluded at the 99% confidence level that the true mean comfortable room temperature for children exceeds that for adults. O D. It can be concluded at the 99% confidence level that the true mean comfortable room temperature is between 2.9 and 3.5 degrees.
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