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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
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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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