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A random sample of 40 adults with no children under the age of 18 years results in a mean daily leisure time of 5.25 hours, with a standard deviation of 2.27 hours. A random sample of 40 adults wit children under the age of 18 results in a mean daily leisure time of 4.44 hours, with a standard deviation of 1.52 hours. Construct and interpret a 95% confidence interval for the mean difference in leisure time between adults with no children and adults with children (H₁-H₂). Let H₁ represent the mean leisure hours of adults with no children under the age of 18 and 2 represent the mean leisure hours of adults with children under the age of 18. The 95% confidence interval for (H₁-H₂) is the range from (Round to two decimal places as needed.) What is the interpretation of this confidence interval? hours to C hours. OA. There is a 95% probability that the difference of the means is in the interval. Conclude that there insufficient evidence of a significant difference in the number of leisure hours. OB. There is 95% confidence that the difference of the means is in the interval. Conclude that there is insufficient evidence of a significant difference in the number of leisure hours. OC. There is 95% confidence that the difference of the means is in the interval. Conclude that there is a significant difference in the number of leisure hours. O D. There is a 95% probability that the difference of the means is in the interval. Conclude that there is a significant difference in the number of leisure hours.

A random sample of 40 adults with no children under the age of 18 years results in a mean daily leisure time of 5.25 hours, with a standard deviation of 2.27 hours. A random sample of 40 adults wit children under the age of 18 results in a mean daily leisure time of 4.44 hours, with a standard deviation of 1.52 hours. Construct and interpret a 95% confidence interval for the mean difference in leisure time between adults with no children and adults with children (H₁-H₂). Let H₁ represent the mean leisure hours of adults with no children under the age of 18 and 2 represent the mean leisure hours of adults with children under the age of 18. The 95% confidence interval for (H₁-H₂) is the range from (Round to two decimal places as needed.) What is the interpretation of this confidence interval? hours to C hours. OA. There is a 95% probability that the difference of the means is in the interval. Conclude that there insufficient evidence of a significant difference in the number of leisure hours. OB. There is 95% confidence that the difference of the means is in the interval. Conclude that there is insufficient evidence of a significant difference in the number of leisure hours. OC. There is 95% confidence that the difference of the means is in the interval. Conclude that there is a significant difference in the number of leisure hours. O D. There is a 95% probability that the difference of the means is in the interval. Conclude that there is a significant difference in the number of leisure hours.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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A random sample of 40 adults with no children under the age of 18 years results in a mean daily leisure time of 5.25 hours, with a standard deviation of 2.27 hours. A random sample of 40 adults with children under the age of 18 results in a mean daily leisure time of 4.44 hours, with a standard deviation of 1.52 hours. Construct and interpret a 95% confidence interval for the mean difference in leisure time between adults with no children and adults with children (H₁-H₂). Let μ₁ represent the mean leisure hours of adults with no children under the age of 18 and μ₂ represent the mean leisure hours of adults with children under the age of 18. The 95% confidence interval for (H₁-H2) is the range from (Round to two decimal places as needed.) What is the interpretation of this confidence interval? hours to hours. OA. There is a 95% probability that the difference of the means is in the interval. Conclude that there is insufficient evidence of a significant difference in the number of leisure hours. OB. There is 95% confidence that the difference of the means is in the interval. Conclude that there is insufficient evidence of a significant difference in the number of leisure hours. OC. There is 95% confidence that the difference of the means is in the interval. Conclude that there is a significant difference in the number of leisure hours. O D. There is a 95% probability that the difference of the means is in the interval. Conclude that there is a significant difference in the number of leisure hours.
Transcribed Image Text:A random sample of 40 adults with no children under the age of 18 years results in a mean daily leisure time of 5.25 hours, with a standard deviation of 2.27 hours. A random sample of 40 adults with children under the age of 18 results in a mean daily leisure time of 4.44 hours, with a standard deviation of 1.52 hours. Construct and interpret a 95% confidence interval for the mean difference in leisure time between adults with no children and adults with children (H₁-H₂). Let μ₁ represent the mean leisure hours of adults with no children under the age of 18 and μ₂ represent the mean leisure hours of adults with children under the age of 18. The 95% confidence interval for (H₁-H2) is the range from (Round to two decimal places as needed.) What is the interpretation of this confidence interval? hours to hours. OA. There is a 95% probability that the difference of the means is in the interval. Conclude that there is insufficient evidence of a significant difference in the number of leisure hours. OB. There is 95% confidence that the difference of the means is in the interval. Conclude that there is insufficient evidence of a significant difference in the number of leisure hours. OC. There is 95% confidence that the difference of the means is in the interval. Conclude that there is a significant difference in the number of leisure hours. O D. There is a 95% probability that the difference of the means is in the interval. Conclude that there is a significant difference in the number of leisure hours.
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