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: Sample Mean 77.5° F Sample Variance Adults (1) Children (2) 4.5 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% confidence interval tums out to be (-2.9, 3.1). Select the correct statement. A) It can be concluded at the 99% confidence level that the true mean comfortable room temperature for children exceeds that for adults. B) It can be concluded at the 99% confidence level that the true mean comfortable room temperature is between -2.9 and 3.1. C) It can be concluded at the 99% confidence level that the true mean room temperature for adults exceeds that for children. D) 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
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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:
Sample Mean Sample Variance
77.5° F
Adults (1)
Children (2)
4.5
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% confidence interval
tums out to be (-2.9, 3.1). Select the correct statement.
A) It can be concluded at the 99% confidence level that the true mean comfortable room temperature for
children exceeds that for adults.
B) It can be concluded at the 99% confidence level that the true mcan comfortable room temperature is
between -2.9 and 3.1.
C) It can be concluded at the 99% confidence level that the true mean room temperature for adults
exceeds that for children.
D) 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.
Transcribed Image Text: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: Sample Mean Sample Variance 77.5° F Adults (1) Children (2) 4.5 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% confidence interval tums out to be (-2.9, 3.1). Select the correct statement. A) It can be concluded at the 99% confidence level that the true mean comfortable room temperature for children exceeds that for adults. B) It can be concluded at the 99% confidence level that the true mcan comfortable room temperature is between -2.9 and 3.1. C) It can be concluded at the 99% confidence level that the true mean room temperature for adults exceeds that for children. D) 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.
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