Question

the life spans of a species of fruit fly have a bell-shaped distribution, with a mean of 32 days and a standard deviation of 5 days.
(a) the life spans of three randomly selected fruit flies are 34 days, 29 days, and 48 days. find the z-score that corresponds to each life span. determine whether any of these life spans are unusual.
(b) the life spans of three randomly selected fruit flies are 27 days, 37 days, and 42 days. using the empirical rule, find the percentile that corresponds to each life span.

(a) the z-score corresponding a life span of 34 days is 0.4.
(type an integer or a decimal rounded to two decimal places as needed.)

the z-score corresponding a life span of 29 days is .
(type an integer or a decimal rounded to two decimal places as needed.)

Explanation:

Identify given parameters

Using the Z-Score Calculation knowledge point

$$
LATEXBLOCK0
$$

Calculate the z-score for 29 days

Using the Z-Score Calculation knowledge point

$$
LATEXBLOCK1
$$

Answer:

The z-score corresponding a life span of 29 days is <blank>-0.6</blank>.