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(P Take a Test Pedro Giron Google Chrome Quizzes & Tests Secure h ps://www. mathxl.com Test aspx?testld 1512147998ucenterwin yes /Student/Player C openvellu Math 123 DL Spring 2017 Pedro Giron & 3/19/17 7:20 PM Pedro O Quiz: Chapter 5 Quiz Submit Quiz MyStatLab This Question 1 pt This Quiz 10 pts possible 4 of 10 (3 complete O My Courses urse Calendar Course Home The heights of fully grown trees of a specific species are normally distributed, with a mean of 65.5 feet and a standard deviation of 6.50 feet. Random samples of size Homework 17 are drawn from the population. Use the central limit theorem to find the mean and standard error of the sampling distribution. Then sketch a graph of the sampling stribution. Quizzes & Tests The mean of the sampling distribution is Study Plan The standard error of the sampling distribution is o; Gradebook (Round to two decimal places as needed.) Gradebook Stat Crunch Choose the comect graph of the sampling distribution below Chapter Contents O B. O C. See Score Tools for Success Multimedia Library See score Purchase Options See score 62.3 63.9 65.5 67 68.7 52.5 59.0 65.5 72.0 78.5 Pearson Tutor Services see score Click to select your answer(s). Discussions Course Tools 77.5% 1:59pm 6:20 PM WE N Ask me anything 3/19/2017Explanation / Answer
Number ( n ) = 17
Normal Distribution = Z= X- u / (sd/Sqrt(n) ~ N(0,1)
a.
Mean ( u ) =65.5
b.
Standard Deviation ( sd )= 6.5/ Sqrt(n) = 1.5765
c.
About 99.7% of the area under the normal curve is within two standard deviation of the mean. i.e. (u ± 3s.d)
So to the given normal distribution about 99.7% of the observations lie in between
= [65.5 ± 3 * 1.5765]
= [ 65.5 - 3 * 1.5765 , 65.5 + 3* 1.5765]
= [ 60.7705 , 70.2295 ]
Option A
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