Question

A random sample of 10 houses in Big Rapids, each of which is heated with natural gas, is selected and the amount of gas (therms) used during the month of January is determined for each house. The resulting observations are: 100 116 128 129 155 111 120 160 125 124 Given the 10 observations, match the value of the following sample statistics: 1. mean 113.642 2. variance 3. standard deviation L 126.800 170.442 4. Lower limit for 95% Confidence interval 2. Vallallce 126.800 3. standard deviation 170.442 4. Lower limit for 95% Confidence interval 83.158 5. Upper limit for 95% Confidence Interval 179.025 6. Lower limit for 95% Prediction Interval 139.959 139.959 7. Upper limit for 95% Prediction Interval 338.400 8. Lower Limit of Tolerance Interval that bounds 90% of the population 74.575 v 74.575 74.575 8. Lower Limit of Tolerance Interval that bounds 90% of the population with 95% confidence 18.395 9. Upper Limit of Tolerance Interval that bounds 90% of the population with 95% confidence

Answer 1

1) mean = 126.8

2) variance = 338.4

3) standard deviation =18.396

4) lower limit of 95% c.i = 113.641

5) . Upper limit for 95% Confidence Interval = 139.595

6) Lower limit for 95% Prediction Interval = 83.157

7) Upper limit for 95% Prediction Interval = 170.443

8) Lower Limit of Tolerance Interval that bounds 90% = 74.574

9) . Upper Limit of Tolerance Interval = 179.026

Step-by-step explanation:

1) mean = 126.8

2) variance = 338.4

3) standard deviation =18.396

4) lower limit of 95% c.i = 113.641

5) . Upper limit for 95% Confidence Interval = 139.595

6) Lower limit for 95% Prediction Interval = 83.157

7) Upper limit for 95% Prediction Interval = 170.443

8) Lower Limit of Tolerance Interval that bounds 90% = 74.574

9) . Upper Limit of Tolerance Interval = 179.026

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