Answered: Students in a statistics class…

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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Question

Students in a statistics class participated in a project in which they attempted to estimate the true mean height of all students in their large high school. The students were split into 4 groups. Each group had their own sampling method, and they used it to select a sample each day for 50 days. Below are the estimates based on their 50 samples:

After the samples were collected and the means were plotted the teacher visited the school nurse who told her that the true mean height of all students in the school is 67.5 inches.

Which group produced sample statistics that estimated the true value of the parameter with relatively low bias and low variability?

(A) Group 1
(B) Group 2
(C) Group 3
(D) Group 4
(E) All groups produced statistics that have low bias and low variability because \bar{x}xˉ is an unbiased estimator of \muμ.

14-
12-
10-
8-
Group 1 (n = 2)
80
55
60
65
70
75
8-
6-
75
-Group 2 (n = 10)
80
60
65
8-
-Group 3 (n= 2)
80
60
65
70
Frequeney
Frequency
Frequency

14-
12-
10-
8-
-Group 4 (n = 10)
65
Mean height (inches)
55
60
70
75
80
Frequency

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