Answered: Histograms of random sample data are…

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

Histograms of random sample data are often used as an indication of the shape of the underlying population distribution. The histograms on below are based on random samples of size 30, 50, and 100 from the same population.

(a). Complete the table giving the range of the sample data in each of the histograms. (refer to picture of table)

(b). Based on the completed table, select the most reasonable estimate of the range of the population data.

A. 10 to 15

B. 9 to 14

C. 9 to 15

D. 11 to 13

(i) Sample of size 30
(ii) Sample of size 50
9
12-
8
10+
7
6+
8-
6-
4
2
1
10
11
12
13
14
9
10
11
12
13
14
(iii) Sample of sizc 100
25-
20+
15-
10+
10
11
12
13
14
Frequency
Frequency
kouanbas

Complete the table giving the range of the sample data in each of the histograms.
Smallest Value
Largest Value
Histogram (i)
Histogram (ii)
Histogram (iii)

Expert Solution

Step 1

(a). Given, histogram based on the random sample of sizes 30,50 and 100 from the same population.

From the given histogram, the required range of the sample data in each histograms are obtained as-

	Smallest value	Largest value
Histogram (i)	9.5	14
Histogram (ii)	9	14
Histogram (iii)	9.5	14.5

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