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In: Statistics and Probability

The following data represent the​ high-temperature distribution for a summer month in a city for some...

The following data represent the​ high-temperature distribution for a summer month in a city for some of the last 130 years. Treat the data as a population. Complete parts​ (a) through​ (c).

Temperature (degrees F)   Lower Limit   Upper Limit   Days
50-59   50   59   1
60-69   60   69   307
70-79   70   79   1467
80-89   80   89   1514
90-99   90   99   455
100-109   100   109   7

​(1a) Approximate the mean and standard deviation for temperature.

μ=_____degrees°F ​(Round to one decimal place as​ needed.)

σ=____degrees°F (Round to one decimal place as​ needed.)

(1b)

Is the distribution bell​ shaped?

A.

​Yes, the frequency histogram of the data is bell shaped.

B.

​No, the frequency histogram of the data is uniform.

C.

​No, the frequency histogram of the data is skewed left.

D.

​No, the frequency histogram of the data is skewed right.

(1c)

According to the Empirical​ Rule, 95% of days in the month will be between what two​ temperatures? ___degrees°F and ____degrees°F (Round to one decimal place as needed. Use ascending​ order.)

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