NOTE: blt is shorthand for “but less than:Value Categories: 100 blt 150; 150 blt 200; 200 blt 250; and 250 blt 300Lot Size Categories: 0 blt 8; 8 blt 16; 16 blt 24; and 24 blt 32Room Categories: 5; 6; 7; 8; 9; and 10Age Categories: 14 blt 24; 24 blt 34; 34 blt 44; 44 blt 54; and 54 blt 64 QUESTIONS: 1. Is the population mean value of a house different from $175,000? Use alpha = 0.05.2. Is the population proportion of the houses with modern kitchens greater than 0.60? Use alpha = 0.01.3. Is there a relationship between the age of a house and whether or not a house has a fireplace? Use alpha = 0.05.4. Are the proportions of houses within each value category equal? Use alpha = 0.05.5. Is there a difference in the population average house values for houses with modern bathrooms and houses without modern bathrooms? Use alpha = 0.01. VALUE190215160195163181220159.9160195165190180181160160185160176179.9147189176.9181151189170249267185269.9199.9180189.9299.9179.9210163159.9165180169179180218150247173.5218152299.9185200172230235185.9200190140180213115199.9153180162.9160175170155163160175176.5189.9157.9179215189.9170229.5185230180199.9180190225155179217.9173183215159195180160.8179.9LOTSIZE6.9666779.756669711.265.66.56668.766.5676.59.41611.259.885.8210667.27.5810666.2566666686sanaî‚¦:-Ñ‚‚šanñañvčaš666.4231.56678.2511.84716107.210.341166.866.487610.667.77.57.756.9566RMS87686777776691065867667107668896866787767686677986768686777787586106866666667796777871086878656876767666AGE383035353932603.8353.832273235373537393736393630283524382233272838353514353036393035373539313930393036152836353134303044384035162839333833384135373.8363931353735313428386114374038303537373639315534323625AIRCON0100000000000000000000000000001000001000000000100010000000000000000000000000000010000000000000000000FIREPL0010000001100010101100100000100011000001100000110000100000000000111100011010010000110100101100000010MOD KITCH0011000111010010111001100111001110011101110101111011111111110110111001001111010111101111101111111110MOD BATH0011000111010010111001111111001110011101110101111111111111110110110001111111010111101111101111111110

ValueLOTSIZERMSAGEAIRCONFIREPLMOD KITCHMOD…

Answered: 1. Is the population mean value of a…

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

NOTE: blt is shorthand for “but less than:

Value Categories: 100 blt 150; 150 blt 200; 200 blt 250; and 250 blt 300

Lot Size Categories: 0 blt 8; 8 blt 16; 16 blt 24; and 24 blt 32

Room Categories: 5; 6; 7; 8; 9; and 10

Age Categories: 14 blt 24; 24 blt 34; 34 blt 44; 44 blt 54; and 54 blt 64

QUESTIONS:

1. Is the population mean value of a house different from $175,000? Use alpha = 0.05.

2. Is the population proportion of the houses with modern kitchens greater than 0.60? Use alpha = 0.01.

3. Is there a relationship between the age of a house and whether or not a house has a fireplace? Use alpha = 0.05.

4. Are the proportions of houses within each value category equal? Use alpha = 0.05.

5. Is there a difference in the population average house values for houses with modern bathrooms and houses without modern bathrooms? Use alpha = 0.01.

VALUE
190
215
160
195
163
181
220
159.9
160
195
165
190
180
181
160
160
185
160
176
179.9
147
189
176.9
181
151
189
170
249
267
185
269.9
199.9
180
189.9
299.9
179.9
210
163
159.9
165
180
169
179
180
218
150
247
173.5
218
152
299.9
185
200
172
230
235
185.9
200
190
140
180
213
115
199.9
153
180
162.9
160
175
170
155
163
160
175
176.5
189.9
157.9
179
215
189.9
170
229.5
185
230
180
199.9
180
190
225
155
179
217.9
173
183
215
159
195
180
160.8
179.9
LOTSIZE
6.9
6
6
6
7
7
9.75
6
6
6
9
7
11.2
6
5.6
6.5
6
6
6
8.7
6
6.5
6
7
6.5
9.41
6
11.25
9.88
5.82
10
6
6
7.2
7.5
8
10
6
6
6.25
6
6
6
6
6
6
8
6
sanaî‚¦:-Ñ‚‚šanñañvčaš
6
6
6.42
31.5
6
6
7
8.25
11.84
7
16
10
7.2
10.34
11
6
6.86
6.48
7
6
10.6
6
7.7
7.5
7.75
6.95
6
6
RMS
8
7
6
8
6
7
7
7
7
7
6
6
9
10
6
5
8
6
7
6
6
7
10
7
6
6
8
8
9
6
8
6
6
7
8
7
7
6
7
6
8
6
6
7
7
9
8
6
7
6
8
6
8
6
7
7
7
7
8
7
5
8
6
10
6
8
6
6
6
6
6
6
6
7
7
9
6
7
7
7
8
7
10
8
6
8
7
8
6
5
6
8
7
6
7
6
7
6
6
6
AGE
38
30
35
35
39
32
60
3.8
35
3.8
32
27
32
35
37
35
37
39
37
36
39
36
30
28
35
24
38
22
33
27
28
38
35
35
14
35
30
36
39
30
35
37
35
39
31
39
30
39
30
36
15
28
36
35
31
34
30
30
44
38
40
35
16
28
39
33
38
33
38
41
35
37
3.8
36
39
31
35
37
35
31
34
28
38
61
14
37
40
38
30
35
37
37
36
39
31
55
34
32
36
25
AIRCON
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
1
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
FIREPL
0
0
1
0
0
0
0
0
0
1
1
0
0
0
1
0
1
0
1
1
0
0
1
0
0
0
0
0
1
0
0
0
1
1
0
0
0
0
0
1
1
0
0
0
0
0
1
1
0
0
0
0
1
0
0
0
0
0
0
0
0
0
0
0
1
1
1
1
0
0
0
1
1
0
1
0
0
1
0
0
0
0
1
1
0
1
0
0
1
0
1
1
0
0
0
0
0
0
1
0
MOD KITCH
0
0
1
1
0
0
0
1
1
1
0
1
0
0
1
0
1
1
1
0
0
1
1
0
0
1
1
1
0
0
1
1
1
0
0
1
1
1
0
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
1
0
0
1
0
0
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0
MOD BATH
0
0
1
1
0
0
0
1
1
1
0
1
0
0
1
0
1
1
1
0
0
1
1
1
1
1
1
1
0
0
1
1
1
0
0
1
1
1
0
1
1
1
0
1
0
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
1
1
0
1
1
0
0
0
1
1
1
1
1
1
1
0
1
0
1
1
1
1
0
1
1
1
1
1
0
1
1
1
1
1
1
1
1
1
0

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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