DEVRY MATH399 Week 1 Assignment Introduction to the Empirical Rule and Chebyshev’s Theorem Latest 2019 JULY Question # 00603563 Subject: Mathematics Due on: 08/10/2019 Posted On: 08/10/2019 05:16 AM Tutorials: 1 Rating: 4.9/5

MATH399 Applied Managerial Statistics

Week 1 Assignment Introduction to the Empirical Rule and
Chebyshev’s Theorem

Question At
a carnival, contestants are asked to keep rolling a pair of dice until they
roll snake eyes. The number of rolls
needed has a mean of 36 rolls, with a standard deviation of 5.4 rolls. The
distribution of the number of rolls needed is not assumed to be symmetric.

Between
what two numbers of rolls does Chebyshev’s Theorem guarantee that we will find
at least 75% of the contestants?

Round your
answers to the nearest tenth.

QuestionA
random sample of SAT scores has a sample mean of x¯=1060 and sample standard
deviation of s=195. Use the Empirical
Rule to estimate the approximate percentage of SAT scores that are less than
865.

Round your
answer to the nearest whole number (percent).

QuestionToyotas
manufactured in the 1990s have a mean lifetime of 22.6 years, with a standard
deviation of 3.1 years. The distribution of their lifetimes is not assumed to
be symmetric.

Between
what two lifetimes does Chebyshev’s Theorem guarantee that we will find at
least 95% of the Toyotas?

Round your
answers to the nearest hundredth.

QuestionA
random sample of small business stock prices has a sample mean of x¯=$54.82 and
sample standard deviation of s=$8.95.
Use the Empirical Rule to estimate the percentage of small business
stock prices that are more than $81.67.

Round your
answer to the nearest hundredth.

QuestionPatients
coming to a medical clinic have a mean weight of 207.6 pounds, with a standard
deviation of 22.6 pounds. The distribution of weights is not assumed to be
symmetric.

Between
what two weights does Chebyshev’s Theorem guarantees that we will find at least
95% of the patients?

Round your
answers to the nearest tenth.

QuestionSuppose
that the distribution of snake lengths in a certain park is not assumed to be
symmetric.

According
to Chebyshev’s Theorem, at least what percentage of snake lengths are within
k=2.9standard deviations of the mean?

Round your
answer to the nearest whole number (percent).

QuestionA
random sample of hybrid vehicle fuel consumptions has a sample mean of x¯=53.2
mpg and sample standard deviation of s=4.8 mpg.
Use the Empirical Rule to estimate the percentage of hybrid vehicle fuel
consumptions that are less than 43.6 mpg.

Round your
answer to the nearest tenth.

QuestionA
random sample of lobster tail lengths has a sample mean of x¯=4.7 inches and
sample standard deviation of s=0.4 inches.
Use the Empirical Rule to determine the approximate percentage of
lobster tail lengths that lie between 4.3 and 5.1 inches.

Round your
answer to the nearest whole number (percent).