Question

Fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean μ = 25.3 kilograms and standard deviation σ = 3.2 kilograms. Let x be the weight of a fawn in kilograms.

For parts (a), (b), and (c), convert the x intervals to z intervals. (For each answer, enter a number. Round your answers to two decimal places.)

(a)

   x < 30
z <

(b)

   19 < x (Fill in the blank. A blank is represented by _____.)

_____ < z

(c)

   32 < x < 35 (Fill in the blanks. A blank is represented by _____. There are two answer blanks.)

_____ < z < _____

first blank
second blank   

For parts (d), (e), and (f), convert the z intervals to x intervals. (For each answer, enter a number. Round your answers to one decimal place.)

(d)

   −2.17 < z (Fill in the blank. A blank is represented by _____.)

_____ < x

(e)

   z < 1.28
x <

(f)

   −1.99 < z < 1.44 (Fill in the blanks. A blank is represented by _____. There are two answer blanks.)

_____ < x < _____

first blank    
second blank

Answer 1