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7. Refer back to the high temperature distribution from Week 2 and the follow-up question pertaining to these data from Week 4. Approximately what percentage of days actually had high temperatures in each of the three ranges based on the number of standard deviations from the mean. Note: you can use proportionate values for determining the number or percentage of days for ranges that fall in portions of the class intervals (e.g., if there are only six degrees of an Interval of size 10 degrees, use six-tenths of the days in the class interval). Compare these actual percentages against those expected based on the number of standard deviations above and below the mean. From Weeks 2-4: Distribution of Daily High temperatures \"'30 309; L 255 20 - 29 9 m 30 - 39 23 E m 40 - 49 32 1m 50 - 59 75 m I so - 69 an M - 7 ' 79 77 2029 3039 was 5059 was 1019 son-3 9099 100.109 80 - 39 34 Temperature 90 - 99 19 - - - 1oo - 109 6 Total 365 Mean I 64.5 SD I 16.8 Interval Lower Upper xbar 1 Is 47.? 81.3 Xbar 1 25 30.9 98.2 Xbar 1 35 14.0 1 15.0 High Temp f Xbar 1 is Xbar 1 Is Xbar 1 3s 20 - 29 9 9 30 - 39 23 20.9 23 4O - 49 32 7.4 32 32 50 59 75 75 75 75 60 - 69 90 90 90 90 70 - 79 77 77 77 77 BO - 89 34 4.4 34 34 90 - 99 19 15.6 19 100 - 109 6 6 Total 365 253.8 344.5 365.0 Xbar 1 1s Xbar 1 Zs Xbar 1 3s Days 253.8 344.5 365.0 Percent of year 69.5% 94.496 100% Expected percent 68.3% 95.496 99.7%