question
use the data to evaluate if the data is approximately normally distributed by using: 1. Histogram 2. Data analysis/ Descriptive Statistics output table 3. Normal Probability Plot to make the determination 4. If it is approximately normal distribution what is the probability P(-5 X <3) 5. If it is not, explain why and what kind bias it has This is the data
Weekly Payment: 96 171 202 178 147 102 153 197 127 82 157 185 90 116 172 111 148 213 130 165 141 149 206 175 123 128 144 168 109 167 95 163 150 154 130 143 187 166 139 149 108 119 183 151 114 135 191 137 129 158 213 82 131
1. A histogram of the data, using an interval width of 20, looks like this:
2. The descriptive statistics table generated by Excel is shown below:
Count
|
53
|
Mean
|
146.7736
|
Mean LCL
|
139.0878
|
Mean UCL
|
154.4593
|
Variance
|
1,116.2939
|
Standard Deviation
|
33.4110
|
Mean Standard Error
|
4.5894
|
Minimum
|
82.0000
|
Maximum
|
213.0000
|
3. A Normal Probability Plot of the data is shown below:
4. Since the data is normally distributed, the probability P(-5 < x < 3) can be computed.
