Question
In: Statistics and Probability
The mean annual income for people in a certain city (in thousands of dollars) is 42,...
The mean annual income for people in a certain city (in thousands of dollars) is 42, with a standard deviation of 30. A pollster draws a sample of 92 people to interview.
A) What is the probability that the sample mean income is less than 37? Round the answer to at least four decimal places.
B) What is the probability that the sample mean income is between 40 and 44? Round the answer to at least four decimal places.
C) Find the 70th percentile of the sample mean. Round the answer to at least one decimal place.
D) Would it be unusual for the sample mean to be less than 37? Round the answer to at least four decimal places.
E) Do you think it would be unusual for an individual to have an
income of less than 37? Explain. Assume the variable is normally
distributed. Round the answer to at least four decimal
places.
Solutions
orchestra answered 1 year agoRelated Solutions
Annual income: The mean annual income for people in a certain city (in thousands of dollars)...
Annual income: The mean annual income for
people in a certain city (in thousands of dollars) is
40, with a standard deviation of 28. A pollster draws a sample
of 90 people to interview.
(a) What is the probability that the sample mean income is less
than
38? Round the answer to at least four decimal places.
(b) What is the probability that the sample mean income is
between
38 and 46
(c) Find the 40th percentile of the sample...
Annual income: The mean annual income for people in a certain city (in thousands of dollars)...
Annual income: The mean annual income for people in a certain
city (in thousands of dollars) is 41, with a standard
deviation of 35. A pollster draws a sample of 91 people to
interview.
Part 1 of 5
(a) What is the probability that the sample mean income is less
than 37? Round the answer to at least four decimal places.
The probability that the sample mean income is less than 37 is?
Part 2 of 5
(b) What is...
Sample annual salaries (in thousands of dollars) for employees at a company are listed. 42 51 ...
Sample annual salaries (in thousands of dollars) for employees
at a company are listed.
42
51
57
47
41
41
42
51
57
31
47
42
46
(a) Find the sample mean and sample standard deviation.
(b) Each employee in the sample is given a
55%
raise. Find the sample mean and sample standard deviation for
the revised data set.
(c) To calculate the monthly salary, divide each original
salary by 12. Find the sample mean and sample standard...
An economist wants to estimate the mean per capita income (in thousands of dollars) for a...
An economist wants to estimate the mean per capita income (in
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people. Assume the population standard deviation is known to be
$12.4$. Construct the 98% confidence interval for the mean per
capita income in thousands of dollars. Round your answers to one
decimal place.
An economist wants to estimate the mean per capita income (in thousands of dollars) for a...
An economist wants to estimate the mean per capita income (in
thousands of dollars) for a major city in California. Suppose that
the mean income is found to be $22.4 for a random sample of 2128
people. Assume the population standard deviation is known to be
$9.3. Construct the 98% confidence interval for the mean per
capita income in thousands of dollars. Round your answers to one
decimal place.
An economist wants to estimate the mean per capita income (in thousands of dollars) for a...
An economist wants to estimate the mean per capita income (in
thousands of dollars) for a major city in California. Suppose that
the mean income is found to be $23.6$23.6 for a random sample of
12341234 people. Assume the population standard deviation is known
to be $11.4$11.4. Construct the 90%90% confidence interval for the
mean per capita income in thousands of dollars. Round your answers
to one decimal place.
An economist wants to estimate the mean per capita income (in thousands of dollars) for a...
An economist wants to estimate the mean per capita income (in
thousands of dollars) for a major city in Texas. Suppose that the
mean income is found to be $36.6 for a random sample of 1012
people. Assume the population standard deviation is known to be
$8.5. Construct the 80% confidence interval for the mean per capita
income in thousands of dollars. Round your answers to one decimal
place.
An economist wants to estimate the mean per capita income (in thousands of dollars) for a...
An economist wants to estimate the mean per capita income (in
thousands of dollars) for a major city in California. Suppose that
the mean income is found to be $23.1 for a random sample of 3231
people. Assume the population standard deviation is known to be
$11.8. Construct the 95% confidence interval for the mean per
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A sociologist records the annual household income (in thousands of dollars) among a sample of families...
A sociologist records the annual household income (in thousands
of dollars) among a sample of families living in a high-crime
neighborhood. Locate the lower, median, and upper quartiles for the
times listed below. Hint: First arrange the data in numerical
order. lower quartile thousand dollars median thousand dollars
upper quartile thousand dollars 33 55 39 44 34 48 25 39 23 45
Suppose that in a city of 120,000 people the average income is 40,000 (dollars). Use the...
Suppose that in a city of 120,000 people the average income is
40,000 (dollars). Use the basic estimates we learned for ”tail
probabilities” to:
(a) Find an upper bound for the number of people in the city
with income above 60,000 dollars.
(b) Find a smaller upper bound, given that the standard
deviation of the incomes is 1000 dollars.
(c) Show that the distribution of incomes in the city cannot be
a normal distribution!
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