A random sample of 40 adults with no children under the age of 18 years results in a mean daily leisure time of 5.61 hours, with a standard deviation of 2.39 hours. A random sample of 40 adults with children under the age of 18 results in a mean daily leisure time of 4.43 hours, with a standard deviation of 1.61 hours. Construct and interpret a 90% confidence interval for the mean difference in leisure time between adults with no children and adults with children μ1−μ2. 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 90% confidence interval for μ1−μ2 is the range from hours tohours. (Round to two decimal places as needed.) -What is the interpretation of this confidence interval? A. There is 90% 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. B. There is 90% confidence that the difference of the means is in the interval. Conclude that there is a significant difference in the number of leisure hours. C. There is a 90% probability that the difference of the means is in the interval. Conclude that there is a significant difference in the number of leisure hours. D. There is a 90% probability that the difference of the means is in t

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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 5.61 hours, with a standard deviation of 2.39 hours. A random sample of

40 adults with children under the age of 18 results in a mean daily leisure time of 4.43 hours, with a standard deviation of 1.61

hours. Construct and interpret a 90%
confidence interval for the mean difference in leisure time between adults with no children and adults with children μ1−μ2.

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 90% confidence interval for μ1−μ2
is the range from____ hours to____hours.

(Round to two decimal places as needed.)

-What is the interpretation of this confidence interval?

There is

90%

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.

There is

90%

confidence that the difference of the means is in the interval. Conclude that there is

significant difference in the number of leisure hours.

There is a

90%

probability that the difference of the means is in the interval. Conclude that there is a significant difference in the number of leisure hours.

There is a

90%

probability that the difference of the means is in t

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