Question
Fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean =26.4 kilograms and standard deviation =3.3 kilograms.
Fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean=26.4kilograms and standard deviation=3.3kilograms. Letxbe the weight of a fawn in kilograms.
For parts (a), (b), and (c), convert thexintervals tozintervals. (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 thezintervals toxintervals. (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
(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 3.76 standard deviations below the mean; 14 kg is an unusually low weight for a fawn.
Yes. This weight is 1.88 standard deviations below the mean; 14 kg is an unusually low weight for a fawn.
No. This weight is 3.76 standard deviations below the mean; 14 kg is a normal weight for a fawn.
No. This weight is 3.76 standard deviations above the mean; 14 kg is an unusually high weight for a fawn.
No. This weight is 1.88 standard deviations above the mean; 14 kg is an unusually high weight for a fawn.
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