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

Convert the followingxintervals tozintervals. (Round your answers to two decimal places.)

(a)x<30

z<

(b)19<x

<z

(c)32<x<35

<z<

Convert the followingzintervals toxintervals. (Round your answers to one decimal place.)

(d)2.17<z

<x

(e)z<1.28

x<

(f)1.99<z<1.44

<x<

(g) If a fawn weighs 14 kilograms, would you say it is an unusually small animal? Explain usingzvalues and the figure above.

Yes. This weight is 3.53 standard deviations below the mean; 14 kg is an unusually low weight for a fawn.

Yes. This weight is 1.77 standard deviations below the mean; 14 kg is an unusually low weight for a fawn.

No. This weight is 3.53 standard deviations below the mean; 14 kg is a normal weight for a fawn.

No. This weight is 3.53 standard deviations above the mean; 14 kg is an unusually high weight for a fawn.

No. This weight is 1.77 standard deviations above the mean; 14 kg is an unusually high weight for a fawn.

(h) If a fawn is unusually large, would you say that thezvalue for the weight of the fawn will be close to 0,2, or 3? Explain.

It would have a large positivez, such as 3.

It would have a negativez, such as2.

It would have azof 0.