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.

 

 

    • 11 years ago
    A+ Answers
    NOT RATED

    Purchase the answer to view it

    blurred-text
    • attachment
      gsfilet23.docx