Construct a 95% confidence interval estimate of the mean salary difference for inside and outside salespersons. Is there any significant difference of the mean salary due to years of experience? Use a 0.05 level of significance. Observation Salary (AED) Position Experience 1 173154 Inside Low 2 145863 Inside Low 3 166896 Inside Low 4 155844 Inside Low 5 160392 Inside Low 6 158499 Inside Low 7 167877 Inside Low 8 191397 Inside Low 9 162366 Inside Low 10 176442 Inside Low 11 177828 Inside Low 12 170970 Inside Low 13 169383 Inside Low 14 148266 Inside Low 15 173010 Inside Low 16 156216 Inside Low 17 153357 Inside Low 18 169056 Inside Low 19 164673 Inside Low 20 160392 Inside Low 21 211545 Outside Low 22 186849 Outside Low 23 191568 Outside Low 24 206574 Outside Low 25 190434 Outside Low 26 192864 Outside Low 27 214035 Outside Low 28 196638 Outside Low 29 198072 Outside Low 30 183384 Outside Low 31 182979 Outside Low 32 183897 Outside Low 33 205680 Outside Low 34 201711 Outside Low 35 186675 Outside Low 36 188643 Outside Low 37 185040 Outside Low 38 207426 Outside Low 39 181683 Inside Low 40 180777 Inside Low 41 193384 Inside Low 42 192979 Inside Low 43 193897 Inside Low 44 215680 Outside Low 45 211711 Outside Low 46 196675 Outside Low 47 198643 Outside Low 48 195040 Outside Low 49 217426 Outside Low 50 191683 Outside Low 51 190777 Outside Low 52 207864 Inside Medium 53 221574 Inside Medium 54 175392 Inside Medium 55 211638 Inside Medium 56 206397 Inside Medium 57 181896 Inside Medium 58 177366 Inside Medium 59 238545 Inside Medium 60 213072 Inside Medium 61 170844 Inside Medium 62 196683 Outside Medium 63 222426 Outside Medium 64 168357 Outside Medium 65 195777 Outside Medium 66 198897 Outside Medium 67 220680 Outside Medium 68 192828 Outside Medium 69 197979 Outside Medium 70 171216 Outside Medium 71 163266 Outside Medium 72 179673 Outside Medium 73 185970 Outside Medium 74 203643 Outside Medium 75 188010 Outside Medium 76 201675 Outside Medium 77 200040 Outside Medium 78 216711 Outside Medium 79 175392 Outside Medium 80 184383 Outside Medium 81 184056 Outside Medium 82 173266 Outside Medium 83 189673 Outside Medium 84 195970 Outside Medium 85 213643 Outside Medium 86 198010 Outside Medium 87 211675 Outside Medium 88 210040 Inside Medium 89 226711 Inside Medium 90 185392 Inside Medium 91 194383 Inside Medium 92 194056 Inside Medium 93 206598 Inside High 94 206247 Inside High 95 183081 Inside High 96 209304 Inside High 97 199704 Inside High 98 203157 Inside High 99 202098 Inside High 100 196446 Inside High 101 204240 Inside High 102 203364 Inside High 103 218505 Outside High 104 218742 Outside High 105 234222 Outside High 106 236130 Outside High 107 232209 Outside High 108 236808 Outside High 109 223167 Outside High 110 232068 Outside High 111 233460 Outside High 112 233403 Outside High 113 198960 Outside High 114 231933 Outside High 115 230589 Outside High 116 227373 Outside High 117 225978 Outside High 118 205707 Outside High 119 223122 Outside High 120 232866 Outside High 121 202809 Outside High 122 267243 Outside High 123 243403 Outside High 124 208960 Outside High 125 241933 Outside High 126 240589 Outside High 127 237373 Outside High 128 235978 Outside High 129 215707 Inside High 130 233122 Inside High 131 242866 Inside High 132 212809 Inside High 133 277243 Inside High

Construct a 95% confidence interval estimate of the mean salary difference for inside and outside salespersons. Is there any significant difference of the mean salary due to years of experience? Use a 0.05 level of significance. Observation Salary (AED) Position Experience 1 173154 Inside Low 2 145863 Inside Low 3 166896 Inside Low 4 155844 Inside Low 5 160392 Inside Low 6 158499 Inside Low 7 167877 Inside Low 8 191397 Inside Low 9 162366 Inside Low 10 176442 Inside Low 11 177828 Inside Low 12 170970 Inside Low 13 169383 Inside Low 14 148266 Inside Low 15 173010 Inside Low 16 156216 Inside Low 17 153357 Inside Low 18 169056 Inside Low 19 164673 Inside Low 20 160392 Inside Low 21 211545 Outside Low 22 186849 Outside Low 23 191568 Outside Low 24 206574 Outside Low 25 190434 Outside Low 26 192864 Outside Low 27 214035 Outside Low 28 196638 Outside Low 29 198072 Outside Low 30 183384 Outside Low 31 182979 Outside Low 32 183897 Outside Low 33 205680 Outside Low 34 201711 Outside Low 35 186675 Outside Low 36 188643 Outside Low 37 185040 Outside Low 38 207426 Outside Low 39 181683 Inside Low 40 180777 Inside Low 41 193384 Inside Low 42 192979 Inside Low 43 193897 Inside Low 44 215680 Outside Low 45 211711 Outside Low 46 196675 Outside Low 47 198643 Outside Low 48 195040 Outside Low 49 217426 Outside Low 50 191683 Outside Low 51 190777 Outside Low 52 207864 Inside Medium 53 221574 Inside Medium 54 175392 Inside Medium 55 211638 Inside Medium 56 206397 Inside Medium 57 181896 Inside Medium 58 177366 Inside Medium 59 238545 Inside Medium 60 213072 Inside Medium 61 170844 Inside Medium 62 196683 Outside Medium 63 222426 Outside Medium 64 168357 Outside Medium 65 195777 Outside Medium 66 198897 Outside Medium 67 220680 Outside Medium 68 192828 Outside Medium 69 197979 Outside Medium 70 171216 Outside Medium 71 163266 Outside Medium 72 179673 Outside Medium 73 185970 Outside Medium 74 203643 Outside Medium 75 188010 Outside Medium 76 201675 Outside Medium 77 200040 Outside Medium 78 216711 Outside Medium 79 175392 Outside Medium 80 184383 Outside Medium 81 184056 Outside Medium 82 173266 Outside Medium 83 189673 Outside Medium 84 195970 Outside Medium 85 213643 Outside Medium 86 198010 Outside Medium 87 211675 Outside Medium 88 210040 Inside Medium 89 226711 Inside Medium 90 185392 Inside Medium 91 194383 Inside Medium 92 194056 Inside Medium 93 206598 Inside High 94 206247 Inside High 95 183081 Inside High 96 209304 Inside High 97 199704 Inside High 98 203157 Inside High 99 202098 Inside High 100 196446 Inside High 101 204240 Inside High 102 203364 Inside High 103 218505 Outside High 104 218742 Outside High 105 234222 Outside High 106 236130 Outside High 107 232209 Outside High 108 236808 Outside High 109 223167 Outside High 110 232068 Outside High 111 233460 Outside High 112 233403 Outside High 113 198960 Outside High 114 231933 Outside High 115 230589 Outside High 116 227373 Outside High 117 225978 Outside High 118 205707 Outside High 119 223122 Outside High 120 232866 Outside High 121 202809 Outside High 122 267243 Outside High 123 243403 Outside High 124 208960 Outside High 125 241933 Outside High 126 240589 Outside High 127 237373 Outside High 128 235978 Outside High 129 215707 Inside High 130 233122 Inside High 131 242866 Inside High 132 212809 Inside High 133 277243 Inside High

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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Construct a 95% confidence interval estimate of the mean salary difference for inside and outside salespersons.
Is there any significant difference of the mean salary due to years of experience? Use a 0.05 level of significance.

Observation	Salary (AED)	Position	Experience
1	173154	Inside	Low
2	145863	Inside	Low
3	166896	Inside	Low
4	155844	Inside	Low
5	160392	Inside	Low
6	158499	Inside	Low
7	167877	Inside	Low
8	191397	Inside	Low
9	162366	Inside	Low
10	176442	Inside	Low
11	177828	Inside	Low
12	170970	Inside	Low
13	169383	Inside	Low
14	148266	Inside	Low
15	173010	Inside	Low
16	156216	Inside	Low
17	153357	Inside	Low
18	169056	Inside	Low
19	164673	Inside	Low
20	160392	Inside	Low
21	211545	Outside	Low
22	186849	Outside	Low
23	191568	Outside	Low
24	206574	Outside	Low
25	190434	Outside	Low
26	192864	Outside	Low
27	214035	Outside	Low
28	196638	Outside	Low
29	198072	Outside	Low
30	183384	Outside	Low
31	182979	Outside	Low
32	183897	Outside	Low
33	205680	Outside	Low
34	201711	Outside	Low
35	186675	Outside	Low
36	188643	Outside	Low
37	185040	Outside	Low
38	207426	Outside	Low
39	181683	Inside	Low
40	180777	Inside	Low
41	193384	Inside	Low
42	192979	Inside	Low
43	193897	Inside	Low
44	215680	Outside	Low
45	211711	Outside	Low
46	196675	Outside	Low
47	198643	Outside	Low
48	195040	Outside	Low
49	217426	Outside	Low
50	191683	Outside	Low
51	190777	Outside	Low
52	207864	Inside	Medium
53	221574	Inside	Medium
54	175392	Inside	Medium
55	211638	Inside	Medium
56	206397	Inside	Medium
57	181896	Inside	Medium
58	177366	Inside	Medium
59	238545	Inside	Medium
60	213072	Inside	Medium
61	170844	Inside	Medium
62	196683	Outside	Medium
63	222426	Outside	Medium
64	168357	Outside	Medium
65	195777	Outside	Medium
66	198897	Outside	Medium
67	220680	Outside	Medium
68	192828	Outside	Medium
69	197979	Outside	Medium
70	171216	Outside	Medium
71	163266	Outside	Medium
72	179673	Outside	Medium
73	185970	Outside	Medium
74	203643	Outside	Medium
75	188010	Outside	Medium
76	201675	Outside	Medium
77	200040	Outside	Medium
78	216711	Outside	Medium
79	175392	Outside	Medium
80	184383	Outside	Medium
81	184056	Outside	Medium
82	173266	Outside	Medium
83	189673	Outside	Medium
84	195970	Outside	Medium
85	213643	Outside	Medium
86	198010	Outside	Medium
87	211675	Outside	Medium
88	210040	Inside	Medium
89	226711	Inside	Medium
90	185392	Inside	Medium
91	194383	Inside	Medium
92	194056	Inside	Medium
93	206598	Inside	High
94	206247	Inside	High
95	183081	Inside	High
96	209304	Inside	High
97	199704	Inside	High
98	203157	Inside	High
99	202098	Inside	High
100	196446	Inside	High
101	204240	Inside	High
102	203364	Inside	High
103	218505	Outside	High
104	218742	Outside	High
105	234222	Outside	High
106	236130	Outside	High
107	232209	Outside	High
108	236808	Outside	High
109	223167	Outside	High
110	232068	Outside	High
111	233460	Outside	High
112	233403	Outside	High
113	198960	Outside	High
114	231933	Outside	High
115	230589	Outside	High
116	227373	Outside	High
117	225978	Outside	High
118	205707	Outside	High
119	223122	Outside	High
120	232866	Outside	High
121	202809	Outside	High
122	267243	Outside	High
123	243403	Outside	High
124	208960	Outside	High
125	241933	Outside	High
126	240589	Outside	High
127	237373	Outside	High
128	235978	Outside	High
129	215707	Inside	High
130	233122	Inside	High
131	242866	Inside	High
132	212809	Inside	High
133	277243	Inside	High

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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