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.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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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