Question

The upper arm length of males over 20 years old in the United States is approximately Normal with mean 39.1 cm and standard deviation 2.3 cm. Use the 68-95-99.7 rule to answer the following questions.

(a) What range of lengths covers the middle 99.7% of this distribution?

(b) What percent of men over 20 have upper arm lengths greater than 41.4 cm?

Answer #1

The upper arm length of females over 20 years old in the United
States is approximately Normal with mean 35.8 cm and standard
deviation 2.1 cm. According to the 68-95-99.7 Rule, what percent of
women over 20 have upper arm length between 33.7 cm and 35.8
cm?

The times for the mile run of a large group of male college
students are approximately Normal with mean 7.1 minutes and
standard deviation 0.79 minutes. Use the 68-95-99.7 rule to answer
the following questions. (Start by making a sketch of the density
curve you can use to mark areas on.)
(a) What range of times covers the middle 99.7% of this
distribution?
(b) What percent of these men run a mile in more than 7.89
minutes?

Return to Example 8.5: Serum cholesterol levels for all males 20
to 35 years old in the United States are approximately normally
distributed with a mean of 186 mg/dL and standard deviation of 36
mg/dL.
Approximately what percent of all males in the United States
between 20 and 35 years old have cholesterol levels between 150
mg/dL and 258 mg/dL? (Report your answer to ONE decimal place.)
Hint, displayed below%
Approximately what percent of all males in the United States...

Suppose a sociologist desires to study the religious habits of
20-year-old males in the United States. He draws a sample from the
20-year-old males living in a large American city to make his
study. Describe the sampled and target populations. What problems
arise in drawing conclusions from this data? How would you design a
better approach to address the researcher’s goal?

The distribution of heights of 18-year-old men in the United
States is approximately normal, with mean 68 inches and standard
deviation 3 inches (U.S. Census Bureau). In Minitab, we can
simulate the drawing of random samples of size 20 from this
population (⇒ Calc ⇒ Random Data ⇒ Normal, with 20 rows from a
distribution with mean 68 and standard deviation 3). Then we can
have Minitab compute a 95% confidence interval and draw a boxplot
of the data (⇒...

Read the following case carefully and then answer the
questions.
In the movie Face/Off, John Travolta got a new look by
exchanging faces with Nicolas Cage. Unfortunately, he got a lot of
trouble along with it. John could receive a much less troublesome
new look by using Botox, a treatment discovered by Vancouver’s Dr.
Jean Carruthers, who came upon the cosmetic potential of Botox in
1982 while treating a woman with eye spasms.
Botox is marketed by Allergan, a specialty...

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