Homework Help Question & Answers
A) The life spans of a species of fruit fly have a bell-shaped distribution, with a…
A) The life spans of a species of fruit fly have a bell-shaped distribution, with a mean of 30 days and a standard deviation of 55 days.
(a) The life spans of three randomly selected fruit flies are 32 days, 26 days, and 43 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 20 days, 40 days, and 35 days. Using the Empirical Rule, find the percentile that corresponds to each life span.
B) The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The distributions of the ages are approximately bell-shaped. Compare the z-scores for the actors in the following situation.
|
Best Actor |
Best Supporting Actor |
|
|---|---|---|
|
muμequals=41.0 |
muμequals=51.0 |
|
|
sigmaσequals=6.6 |
sigmaσequals=16 |
In a particular year, the Best Actor was 40 years old and the Best Supporting Actor was 68 years old.
C) The table shows population statistics for the ages of Best Actor and Best Supporting Actor winners at an awards ceremony. The distributions of the ages are approximately bell-shaped. Compare the z-scores for the actors in the following situation.
|
Best Actor |
Best Supporting Actor |
|
|---|---|---|
|
muμequals=41.0 |
muμequals=50.0 |
|
|
sigmaσequals=7.9 |
sigmaσequals=15 |
In a particular year, the Best Actor was 40 years old and the Best Supporting Actor was 84 years old.
best actor z =
best supporting actor z=
D)
The measure of position called the midquartile of a data set is found using the formula
StartFraction Upper Q 1 + Q 3 / 2.
Find the midquartile of the given data set.
4 9 5 6 11 6 10 5 2 9
The midquartile is
E) The measure of position called the midquartile of a data set is found using the formula Q 1 + Q 3 / 2.
Find the midquartile of the given data set.
24 37 47 33 35 40 39 25 32 23 38 41
