As the prices of heating oil and natural gas increase, consumers become more careful about heating their homes. Researchers want to know how warm home- owners keep their houses in January and how the results from Wisconsin and Tennessee compare. The researchers randomly call 23 Wisconsin households between 7 P.M. and 9 P.M. on January 15 and ask the respondent how warm the house is according to the thermostat. The researchers then call 19 households in Tennessee the same night and ask the same question. The results follow.
Wisconsin Tennessee
71
|
71
|
65
|
68
|
73
|
75
|
74
|
71
|
70
|
61
|
67
|
69
|
74
|
73
|
74
|
70
|
75
|
68
|
71
|
73
|
72
|
71
|
69
|
72
|
74
|
68
|
67
|
69
|
74
|
73
|
70
|
72
|
69
|
72
|
67
|
72
|
69
|
70
|
67
|
|
70
|
73
|
72
|
|
|
|
|
|
For a = .01, is the average temperature of a house in Tennessee significantly higher than that of a house in Wisconsin on the evening of January 15? Assume the population variances are equal and the house tempera- tures are normally distributed in each population.