The daily high temperature in Chicago for the month of August is approximately n

Question

The daily high temperature in Chicago for the month of August is approximately normal with mean 78 degrees F, and standard devistion 9 degrees F (a) What is the probability that a randomly selected day in August will have a high temperature greater than the mean daily high temperature of 78 degrees F? (b) What is the percentile for a dey in August with a high temperature of 75 degrees F? (c) What is the 75th percentile for the daily high temperature for the month of August? (d) What is the interquartile range for the daily high temperature for the month of August? (3 decimal places) (whole pumber) (3 decimal places) (3 decimal places) Subeit Anwwer Save Progress

Explanation / Answer

a)

as 78 dgree is at mean hence probability =0.5

b)

c)

for 75th percentile ; z =0.6745

hence corresponding value =mean +z*std deviation =78+0.6745*9 =84.070

d)as z score of 25 and 75t percentile =-/+ 0.6745

IQR =2*0.6745*std deviation =12.141

for normal distribution z score =(X-)/ here mean=       = 78.000 std deviation   == 9.00

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