1)The average temperature in an american state was recorded as 98.7 F with a standard deviation of 0.7 F. If this is a normal model what percentage of the towns in this state were below 97 F?
Is this question simply a case of taking the Z-Score as 1.7 and reading off the table which I believe gives the answer of 0.446?
2) Species A of an animal weighs average of 50 pounds and has standard deviation of 3.3.
Species B average is 57.5 with standard deviation of 1.7.
A zoo has a species A weighing 45 pounds and B at 54 pounds. Explaining fully determine which is more underweight.
Could someone please direct me as to how i would go about finding this answer please.
I'm not insisting that the beginning student of statistics understand such subtleties, but I do insist that text book authors do.
So for part 1 the equation I require is:
(97-98.7) / 0.7 = 2.43
Then read down the Normal Model table which gives a percentile of about 0.0075? Does that sound roughly correct?!
And does anyone have any idea on the second question??