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[answered] Calculate X bar and S. High Temp. - Mean 86.45 Standard Dev


  1. Calculate? X bar?and S.

High Temp. - Mean 86.45 Standard Deviation 3.67

Sample Standard Deviation, s 3.679650867742

Variance (Sample Standard), s2 13.539830508475

Population Standard Deviation, ? 3.6488582689201

Variance (Population Standard), ?2 13.314166666667

Total Numbers, N 60

Sum: 5187

Mean (Average): 86.45

Low Temp. - Mean 72.87 Standard Deviation 4.30

Sample Standard Deviation, s 4.3000459858269

Variance (Sample Standard), s2 18.490395480226

Population Standard Deviation, ? 4.264061704786

Variance (Population Standard), ?2 18.182222222222

Total Numbers, N 60

Sum: 4372

Mean (Average): 72.866666666667

I need to answer the questions below with the information from above.

  1. 1. What percentage of the high temperatures are within the interval ?X bar?? S to X bar?+ S?

  1. 2. What percentage of the high temperatures are within the interval ?X bar? 2S to X bar?+ 2S?

  1. 3. How do these percentages compare to the corresponding percentages for a normal distribution (68.26% and 95.44%, respectively)?

  1. 4. Repeat Parts 2 to 6 for the minimum temperatures on your spreadsheet.

  1. 5. Would you conclude that the two distributions are normally distributed? Why or why not?

 


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