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In: Statistics and Probability

Data sets for daily high temperatures (in °F) in the months of August and February of...

Data sets for daily high temperatures (in °F) in the months of August and February of 2015, 2017, and 2019:

August 2015: 80; 81; 85; 87; 84; 80; 75; 82; 83; 85; 72; 78; 79; 85; 88; 89; 90; 90; 86; 84; 80; 79; 80; 85; 79; 74; 71; 77; 83; 88; 85

February 2015: 31; 33; 23; 37; 33; 22; 37; 42; 36; 29; 32; 32; 15; 24; 12; 12; 23; 28; 15; 13; 24; 37; 30; 23; 33; 23; 22; 27

August 2017: 86; 87; 85; 86; 74; 73; 66; 79; 82; 82; 78; 81; 80; 76; 78; 81; 85; 82; 83; 81; 81; 85; 88; 74; 74; 74; 76; 73; 63; 76; 72

February 2017: 39; 35; 27; 30; 38; 45; 50; 53; 33; 27; 44; 38; 36; 43; 43; 30; 38; 62; 64; 49; 48; 57; 70; 75; 67; 36; 50; 64

August 2019: 85; 86; 85; 86; 84; 87; 82; 82; 79; 77; 79; 84; 83; 83; 82; 83; 86; 89; 87; 87; 86; 85; 74; 75; 76; 76; 72; 79; 76; 82; 76

February 2019: 18; 31; 46; 59; 58; 40; 54; 47; 27; 31; 35; 33; 34; 38; 55; 35; 39; 34; 28; 32; 48; 39; 41; 44; 37; 30; 31; 30

  1. Compute 99% confidence intervals for the average daily maximum temperature in February for each of the three years of the above data. How do they compare?
  2. Compute 99% confidence intervals for the average daily maximum temperature in August for each of the three years in which you collected data. How do they compare?

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