Question

n what follows use any of the following tests/procedures:
Regression, multiple regression, confidence intervals, one sided
T-test or two sided T-test. All the procedures should be done with
5% P-value or 95% confidence interval.** Some answers are
approximated, choose the most appropriate answer.**
Open Pollution data. SETUP: Is it reasonable to claim that cities
with precipitation of less than 100 days have average temperature
of less than 65 degrees F? Given the data your job is to confirm or
disprove this claim.

**I. What test/procedure did you perform? (6.66
points)**

a. One sided T-test

b. Two sided T-test

c. Regression

d. Confidence interval

**II. Statistical interpretation? (6.66
points)**

a. Since P-value is small we are confident that the slope is not zero.

b. Since P-value is small we are confident that the averages are different.

c. Since P-value is too large the test is inconclusive.

d. None of these.

**III. Conclusion? (6.66 points)**

a. Yes, this is a reasonable claim.

b. No, we cannot confirm that this is a reasonable claim.

CITY | SO2 | MANUF | POP | TEMP | WIND | PRECIP-INCHES | PRECIP-#DAYS |

Phoenix | 11 | 213 | 582 | 70.3 | 6 | 7.05 | 36 |

Little Rock | 15 | 91 | 132 | 61 | 8.2 | 48.52 | 100 |

San Francisco | 16 | 453 | 716 | 56.7 | 8.7 | 20.66 | 67 |

Denver | 24 | 454 | 515 | 51.9 | 9 | 12.95 | 86 |

Hartford | 82 | 412 | 158 | 49.1 | 9 | 43.37 | 127 |

Wilmington | 43 | 80 | 80 | 54 | 9 | 40.25 | 114 |

Washington | 30 | 434 | 757 | 57.3 | 9.3 | 38.89 | 111 |

Jacksonville | 18 | 136 | 529 | 68.4 | 8.8 | 54.47 | 116 |

Miami | 14 | 207 | 335 | 75.5 | 9 | 59.8 | 128 |

Atlanta | 32 | 368 | 497 | 61.5 | 9.1 | 48.34 | 115 |

Chicago | 131 | 3344 | 3369 | 50.6 | 10.4 | 34.44 | 122 |

Indianapolis | 40 | 361 | 746 | 52.3 | 9.7 | 38.74 | 121 |

Des Moines | 20 | 104 | 201 | 49 | 11.2 | 30.85 | 103 |

Wichita | 10 | 125 | 277 | 56.6 | 12.7 | 30.58 | 82 |

Louisville | 35 | 291 | 593 | 55.6 | 8.3 | 43.11 | 123 |

New Orleans | 9 | 204 | 361 | 68.3 | 8.4 | 56.77 | 113 |

Baltimore | 47 | 625 | 905 | 55 | 9.6 | 41.31 | 111 |

Detroit | 46 | 1064 | 1513 | 49.9 | 10.1 | 30.96 | 129 |

Minneapolis-St. Paul | 42 | 699 | 744 | 43.5 | 10.6 | 25.94 | 137 |

Kansas City | 18 | 381 | 507 | 54.5 | 10 | 37 | 99 |

St. Louis | 61 | 775 | 622 | 55.9 | 9.5 | 35.89 | 105 |

Omaha | 17 | 181 | 347 | 51.5 | 10.9 | 30.18 | 98 |

Albuquerque | 15 | 46 | 244 | 56.8 | 8.9 | 7.77 | 58 |

Albany | 56 | 44 | 116 | 47.6 | 8.8 | 33.36 | 135 |

Buffalo | 11 | 391 | 463 | 47.1 | 12.4 | 36.11 | 166 |

Cincinnati | 27 | 462 | 453 | 54 | 7.1 | 39.04 | 132 |

Cleveland | 80 | 1007 | 751 | 49.7 | 10.9 | 34.99 | 155 |

Columbus | 27 | 266 | 540 | 51.5 | 8.6 | 37.01 | 134 |

Philadelphia | 79 | 1692 | 1950 | 54.6 | 9.6 | 39.93 | 115 |

Pittsburgh | 63 | 347 | 520 | 50.4 | 9.4 | 36.22 | 147 |

Providence | 136 | 343 | 179 | 50 | 10.6 | 42.75 | 125 |

Memphis | 10 | 337 | 624 | 61.6 | 9.2 | 49.1 | 105 |

Nashville | 23 | 275 | 448 | 59.4 | 7.9 | 46 | 119 |

Dallas | 11 | 641 | 844 | 66.2 | 10.9 | 35.94 | 78 |

Houston | 10 | 721 | 1233 | 68.9 | 10.8 | 48.19 | 103 |

Salt Lake City | 28 | 137 | 176 | 51 | 8.7 | 15.17 | 89 |

Norfolk | 38 | 96 | 308 | 59.3 | 10.6 | 44.68 | 116 |

Richmond | 38 | 197 | 299 | 57.8 | 7.6 | 42.59 | 115 |

Seattle | 40 | 379 | 531 | 51.1 | 9.4 | 38.79 | 164 |

Charleston | 40 | 35 | 71 | 55.2 | 6.5 | 40.75 | 148 |

Milwaukee | 20 | 569 | 717 | 45.7 | 11.8 | 29.07 | 123 |

Answer #1

**I. What test/procedure did you perform? (6.66
points)**

a. One sided T-test

**II. Statistical interpretation? (6.66
points)**

b. Since P-value is small we are confident that the averages are different.

**III. Conclusion? (6.66 points)**

a. Yes, this is a reasonable claim.

65.00000 | hypothesized value |

36.76902 | mean PRECIP-INCHES |

11.77155 | std. dev. |

1.83841 | std. error |

41 | n |

40 | df |

-15.356 | t |

1.14E-18 | p-value (one-tailed, lower) |

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