Question

According to Zipf's Law, the number of cities N with a population greater than S is inversely proportional to S. In 2008, there were 53 U.S. cities with a population greater than 350,000. Estimate (a) the number of U.S. cities with a population between 350,000 and 450,000; (b) between 300,000 and 650,000.

Answer #1

63% of all Americans live in cities with population greater than
100,000 people. If 45 Americans are randomly selected, find the
probability that a. Exactly 27 of them live in cities with
population greater than 100,000 people. b. At most 27 of them live
in cities with population greater than 100,000 people. c. At least
30 of them live in cities with population greater than 100,000
people. d. Between 23 and 29 (including 23 and 29) of them live in...

67% of all Americans live in cities with population greater than
100,000 people. If 35 Americans are randomly selected, find the
probability that
a. Exactly 21 of them live in cities with population greater than
100,000 people.
b. At most 22 of them live in cities with population greater than
100,000 people.
c. At least 24 of them live in cities with population greater than
100,000 people.
d. Between 17 and 22 (including 17 and 22) of them live in...

70% of all Americans live in cities with population greater than
100,000 people. If 34 Americans are randomly selected, find the
following probabilities. Round your answers to 4 decimal
places.
a. Exactly 24 of them live in cities with population greater than
100,000 people.
b. At most 23 of them live in cities with population greater than
100,000 people.
c. At least 23 of them live in cities with population greater than
100,000 people.
d. Between 20 and 27 (including...

Among U.S. cities with a population of more than 250,000
the mean one-way commute
to work is 25 minutes. The longest one-way travel time is
New York City, where the
mean time is 40 minutes. Assume the distribution of travel
times in New York City
follows the normal probability distribution and the
standard deviation is 7.5 minutes.
a. What percent of the New York City commutes are for less
than 30 minutes?
b. What percent are between 30 and 35...

My sisiter-in-law manages a tim hortons coffee shop. According
to her, the number of cups of coffee sold every day is normally
distributed with mean μ=7000 and standard deviation σ = 750.
1) Find a constant b such that there is a 5% chance that the
total number of cups sold in a 5-day period will exceed b.
2) The probability is 0.47725 that the mean daily number of cups
of coffee sold over an n-day period is between 6700...

Although s is a(n) ____ estimate of the population standard
deviation, it is more regularly reported than s2 because ___. A)
biased; it is easier to calculate because the standard deviation is
reported in units instead of squared units. B) biased; it is easier
than the standard deviation to read and is reported in units
instead of squared units. C) unbiased; the sample variance is
always a biased estimator of the population variance. D) unbiased;
the standard deviation is easier...

TV sets: According to the Nielsen Company, the
mean number of TV sets in a U.S. household in 2013 was 2.24. Assume
the standard deviation is 1.3. A sample of 90 households is
drawn.
A) What is the probability that the sample mean number of TV
sets is greater than 2? Round your answer to four decimal
places.
B) What is the probability that the sample mean number of TV
sets is between 2.5and 3? Round your answer to four...

TV sets: According to the Nielsen Company, the mean number of TV
sets in a U.S. household in 2013 was 2.24. Assume the standard
deviation is1.1 . A sample of 80 households is drawn. Use the
Cumulative Normal Distribution Table if needed.
A. What is the probability that the sample mean number of TV
sets is greater than 2? Round your answer to four decimal
places.
B. What is the probability that the sample mean number of TV
sets is...

A data set lists earthquake depths. The summary statistics are
n=500, x =5.77 km, s=4.75 km. Use a 0.01 significance level to
test the claim of a seismologist that these earthquakes are from a
population with a mean equal to 5.00. Assume that a simple random
sample has been selected. Identify the null and alternative
hypotheses, test statistic, P-value, and state the final
conclusion that addresses the original claim.
a. Determine the test statistic.
b. Determine the P-value
2. A...

2) Airline accidents: According to the U.S. National
Transportation Safety Board, the number of airline accidents by
year from 1983 to 2006 were 23, 16, 21, 24, 34, 30, 28, 24, 26, 18,
23, 23, 36, 37, 49, 50, 51, 56, 46, 41, 54, 30, 40, and 31.
a. For the sample data, compute the mean and its standard error
(from the standard deviation), and the median.
b. Using R, compute bootstrap estimates of the mean, median and
25% trimmed...

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