← A random sample of 40 adults with no children under the age of 18 years results in a mean daily leisure time of 5.95 hours, with a standard deviation of 2.47 hours. A random sample of 40 adults with children under the age of 18 results in a mean daily leisure time of 4.46 hours, with a standard deviation of 1.55 hours. Construct and interpret a 95% confidence interval for the mean difference in leisure time between adults with no children and adults with children (14-12₂). Let µ, 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 (4-₂) is the range from hours to hours. (Round to two decimal places as needed.) What is the interpretation of this confidence interval? A. 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. OB. 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. 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. OD. 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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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K
A random sample of 40 adults with no children under the age of 18 years results in a mean daily leisure time of 5.95
hours, with a standard deviation of 2.47 hours. A random sample of 40 adults with children under the age of 18 results
in a mean daily leisure time of 4.46 hours, with a standard deviation of 1.55 hours. Construct and interpret a 95%
confidence interval for the mean difference in leisure time between adults with no children and adults with children
(14-12)
Let µ, 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 (₁-₂) is the range from hours to hours
(Round to two decimal places as needed.)
What is the interpretation of this confidence interval?
A. 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.
OB. 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.
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.
OD. 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.
14 que
6 que
F13-
6 qu
7C
a
Transcribed Image Text:K A random sample of 40 adults with no children under the age of 18 years results in a mean daily leisure time of 5.95 hours, with a standard deviation of 2.47 hours. A random sample of 40 adults with children under the age of 18 results in a mean daily leisure time of 4.46 hours, with a standard deviation of 1.55 hours. Construct and interpret a 95% confidence interval for the mean difference in leisure time between adults with no children and adults with children (14-12) Let µ, 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 (₁-₂) is the range from hours to hours (Round to two decimal places as needed.) What is the interpretation of this confidence interval? A. 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. OB. 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. 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. OD. 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. 14 que 6 que F13- 6 qu 7C a
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