The z-score corresponding a life span of 34 days is: (Type an integer or a decim

Question

The z-score corresponding a life span of 34 days is:
(Type an integer or a decimal rounded to two decimal places as needed.)

The z-score corresponding a life span of 30 days is:
(Type an integer or a decimal rounded to two decimal places as needed.)

The z-score corresponding a life span of 43 days is:
(Type an integer or a decimal rounded to two decimal places as needed.)

The 27 day fruit fly corresponds in the __ percentile.
The 39 day fruit fly corresponds in the __ percentile.
The 3 5day fruit fly corresponds in the __ percentile.

Explanation / Answer

a) From information given, Xbar=31, s=4, compute Z score for Xi=34, 30 and 43.

Z1=(Xi-Xbar)/s=(34-31)/4=0.75, Z2=(30-31)/4=-0.25, Z3=(43-31)/4=3

b) Z1=(27-31)/4=-1 corresponds to an area of 0.8413 that is 84.13%

Z2=(39-31)/4=2 corresponds to 2.28%

Z3=(35-31)/4=1 corresponds to 15.87%

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