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According to the National Center for Health Statistics, the distribution of height for 16-year-old females is modeled well by a Normal density curve with mean μ = 64 inches and standard deviation o = 2.5 inches. Assume this claim is true for the three undred 16-year-old females at a large high school. To see if this claim is true at their high school, an AP® Statistics class hooses an SRS of twenty 16-year-old females at the school and measures their heights. In their sample, the mean height is 64.7 nches. We used technology to simulate choosing 250 SRSS of size n = 20 from a population of three hundred 16-year-old females whose heights follow a Normal distribution with mean μ = 64 inches and standard deviation o 2.5 inches. The dotplot shows = the sample mean height for each of the 250 simulated samples. 62.0 .. 62.5 63.0 63.5 64.0 64.5 65.0 65.5 66.0 x = simulated sample mean height (in.) Would it be surprising to get a sample mean of x = 64.7 or larger in an SRS of size 20 when μ = 64 inches and o = 2.5 inches? Justify your answer Yes! About 12% of the values of x were 64.7 or greater so it would be surprising to get a sample mean of 64.7 or larger in an SRS of size 20 from a Normal population with μ = 64 and o = 2.5. No! About 12% of the values of x were 64.7 or greater so it would not be surprising to get a sample mean of 64.7 or larger in an SRS of size 20 from a Normal population with μ = 64 and σ = 2.5. Yes! Only 12% of the values of x were 64.7 or greater. Because this is such a small percentage it would be surprising to get a sample mean of 64.7 or larger in an SRS of size 20 from a Normal population with μ = 64 and o = 2.5. No! Only 12% of the values of x were 64.7 or grootor Roguce this is quch a small porcentago it

According to the National Center for Health Statistics, the distribution of height for 16-year-old females is modeled well by a Normal density curve with mean μ = 64 inches and standard deviation o = 2.5 inches. Assume this claim is true for the three undred 16-year-old females at a large high school. To see if this claim is true at their high school, an AP® Statistics class hooses an SRS of twenty 16-year-old females at the school and measures their heights. In their sample, the mean height is 64.7 nches. We used technology to simulate choosing 250 SRSS of size n = 20 from a population of three hundred 16-year-old females whose heights follow a Normal distribution with mean μ = 64 inches and standard deviation o 2.5 inches. The dotplot shows = the sample mean height for each of the 250 simulated samples. 62.0 .. 62.5 63.0 63.5 64.0 64.5 65.0 65.5 66.0 x = simulated sample mean height (in.) Would it be surprising to get a sample mean of x = 64.7 or larger in an SRS of size 20 when μ = 64 inches and o = 2.5 inches? Justify your answer Yes! About 12% of the values of x were 64.7 or greater so it would be surprising to get a sample mean of 64.7 or larger in an SRS of size 20 from a Normal population with μ = 64 and o = 2.5. No! About 12% of the values of x were 64.7 or greater so it would not be surprising to get a sample mean of 64.7 or larger in an SRS of size 20 from a Normal population with μ = 64 and σ = 2.5. Yes! Only 12% of the values of x were 64.7 or greater. Because this is such a small percentage it would be surprising to get a sample mean of 64.7 or larger in an SRS of size 20 from a Normal population with μ = 64 and o = 2.5. No! Only 12% of the values of x were 64.7 or grootor Roguce this is quch a small porcentago it

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
Problem 1P
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According to the National Center for Health Statistics, the distribution of height for 16-year-old females is modeled well by a Normal density curve with mean μ = 64 inches and standard deviation o = 2.5 inches. Assume this claim is true for the three hundred 16-year-old females at a large high school. To see if this claim is true at their high school, an AP® Statistics class chooses an SRS of twenty 16-year-old females at the school and measures their heights. In their sample, the mean height is 64.7 inches. We used technology to simulate choosing 250 SRSs of size n = 20 from a population of three hundred 16-year-old females whose heights follow a Normal distribution with mean μ = 64 inches and standard deviation o = 2.5 inches. The dotplot shows x = the sample mean height for each of the 250 simulated samples. 62.0 62.5 63.0 63.5 64.0 64.5 65.0 65.5 x = simulated sample mean height (in.) 66.0 Would it be surprising to get a sample mean of x = 64.7 or larger in an SRS of size 20 when μ = 64 inches and o = 2.5 inches? Justify your answer Yes! About 12% of the values of x were 64.7 or greater so it would be surprising to get a sample mean of 64.7 or larger in an SRS of size 20 from a Normal population with μ = 64 and o = 2.5. No! About 12% of the values of x were 64.7 or greater so it would not be surprising to get a sample mean of 64.7 or larger in an SRS of size 20 from a Normal population with µ = 64 and o = 2.5. Yes! Only 12% of the values of x were 64.7 or greater. Because this is such a small percentage it would be surprising to get a sample mean 64.7 or larger in an SRS of size 20 from a Normal population with μ = 64 and o = 2.5. No! Only 12% of the values of x were 64.7 or greater. Because this is such a small percentage it would not be surprising to get a sample mean of 64.7 or larger in an SRS of size 20 from a Normal population with μ = 64 and o = 2.5. Yes! The simulation was based upon a population mean of 64.5, so any sample mean other than 64.5 is surprising.
Transcribed Image Text:According to the National Center for Health Statistics, the distribution of height for 16-year-old females is modeled well by a Normal density curve with mean μ = 64 inches and standard deviation o = 2.5 inches. Assume this claim is true for the three hundred 16-year-old females at a large high school. To see if this claim is true at their high school, an AP® Statistics class chooses an SRS of twenty 16-year-old females at the school and measures their heights. In their sample, the mean height is 64.7 inches. We used technology to simulate choosing 250 SRSs of size n = 20 from a population of three hundred 16-year-old females whose heights follow a Normal distribution with mean μ = 64 inches and standard deviation o = 2.5 inches. The dotplot shows x = the sample mean height for each of the 250 simulated samples. 62.0 62.5 63.0 63.5 64.0 64.5 65.0 65.5 x = simulated sample mean height (in.) 66.0 Would it be surprising to get a sample mean of x = 64.7 or larger in an SRS of size 20 when μ = 64 inches and o = 2.5 inches? Justify your answer Yes! About 12% of the values of x were 64.7 or greater so it would be surprising to get a sample mean of 64.7 or larger in an SRS of size 20 from a Normal population with μ = 64 and o = 2.5. No! About 12% of the values of x were 64.7 or greater so it would not be surprising to get a sample mean of 64.7 or larger in an SRS of size 20 from a Normal population with µ = 64 and o = 2.5. Yes! Only 12% of the values of x were 64.7 or greater. Because this is such a small percentage it would be surprising to get a sample mean 64.7 or larger in an SRS of size 20 from a Normal population with μ = 64 and o = 2.5. No! Only 12% of the values of x were 64.7 or greater. Because this is such a small percentage it would not be surprising to get a sample mean of 64.7 or larger in an SRS of size 20 from a Normal population with μ = 64 and o = 2.5. Yes! The simulation was based upon a population mean of 64.5, so any sample mean other than 64.5 is surprising.
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