Tell whether there is a significant difference in the mean serum cholesterol of individual who exercise and does not exercise. Utilize 0.05 level of significance and assume that the given data is normally distributed.
Tell whether there is a significant difference in the mean serum cholesterol of individual who exercise and does not exercise. Utilize 0.05 level of significance and assume that the given data is normally distributed.
Tell whether there is a significant difference in the mean serum cholesterol of individual who exercise and does not exercise. Utilize 0.05 level of significance and assume that the given data is normally distributed.
Tell whether there is a significant difference in the mean serum cholesterol of individual who exercise and does not exercise. Utilize 0.05 level of significance and assume that the given data is normally distributed.
Transcribed Image Text:VARIABLES:
a) "Exercise" = 0 stands for 'no' & 1 stands for 'yes'
b) "Serum cholesterol" = provided in mg/dL
c) "Weight" = provided in pounds
d) “Smoking status"
• 0 stands for 'does not smoke'
• 1 stands for 'smoke less than one pack per day'
• 2 stands for 'smoke one or more than one pack per day'
The given information below shows the result of health exam taken from 100 randomly
selected individuals who undergoes treatment for their high blood.
ID Number
Weight
Exercise
Systolic
Systolic
Serum
Pressure
Pressure
Cholesterol
(Before the
Treatment)
(After the
Treatment)
1
120
1
126
100
193
2
106
1
120
110
168
127
1
128
125
179
4
132
1
129
120
215
109
1
119
120
175
6.
143
1
136
115
188
7
123
1
131
100
220
8.
145
1
163
150
210
9.
118
1
132
130
176
10
143
1
138
120
206
11
196
148
150
199
12
187
115
100
220
13
199
1
149
125
253
14
156
1
142
130
214
15
142
156
140
184
16
162
135
130
218
17
160
156
120
200
18
215
153
120
215
19
170
122
100
242
20
234
142
150
238
OOo ooo
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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