Question

Select the correct answer from the drop-down menu. the mean midday temperature recorded in june in a city in south california is 36ºc, and the standard deviation is 3ºc. the number of days in the month of june is 30. assuming the data is normally distributed, the number of days in june when the midday temperature was between 39ºc and 42ºc is .

Answer 1

The number of days in June when the midday temperature was between 39ºC and 42ºC is 4.

What is the mid day temperature about?

Note that in the question above:

The mean = 36

Sd = 3

Therefore:

P( 39 < x < 42)

= P(( 39 - 36) / 3 < Z < ( 42 - 36) / 3)

P(3/3 <z<6/3)

P( 1 < Z < 2)

= P( x < 2) - P( x < 1)

= 0.9772 - 0.8413 = 0.1359

Note that June has 30 days

Therefore 0.1359*30

= 4 days (Approximated)

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