Answered: Part 1: Hypothesis Test for the Mean -…

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

Part 1: Hypothesis Test for the Mean
- Manual Tasks
• Define your concern of interest drawing upon your variables in your dataset.
• Conceptualize your null and alternate hypotheses based on your testing concept.
a. Apply 1 one-sided test (upper-tail or lower-tail) and 1 two-sided test concepts for the
mean with unknown population standard deviation (�) at 1%, 5%, or 10% levels of
significance (choose one of them for each test) by stating the appropriate decision rule.
b. Calculate p-value for each of your tests and perform testing for your same hypotheses
with p-value solution. Comment on how p-value changes for 1%, 5%, and 10%
significance levels (for all three).
**Here in order to apply normal distribution approximation, it would be better if you
choose your sample size greater than 100 (n>100).
c. Make a confidence interval estimation for the population mean with unknown variance
based on 90%, 95% and 99% confidence levels and make interpretations for all three.

DATASET:

WaterBill	ElectricBill
97	144
153	204
109	205
110	202
105	171
117	162
30	65
153	164
145	158
36	70
129	179
159	240
123	212
139	209
74	154
144	179
127	205
134	206
110	154
118	206
81	185
78	204
107	137
121	189
110	189
91	227
89	179
156	202
130	134
50	90
123	220
145	260
98	176
131	187
76	213
103	125
67	102
119	227
85	128
131	232
82	142
114	196
86	226
91	200
131	175
107	195
157	127
142	196
86	143
68	192
123	124
112	208
116	181
97	162
77	154
140	219
79	179
67	140
119	199
104	170
99	139
109	163
138	164
142	209
114	156
78	204
116	166
121	180
140	124
158	262
84	117
138	167

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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