Question
In: Statistics and Probability
According to the Current Results website, the state of California has a mean annual rainfall of...
According to the Current Results website, the state of California has a mean annual rainfall of 19 inches, whereas the state of New York has a mean annual rainfall of 36 inches. Assume that the standard deviation for both states is 4 inches. A sample of 30 years of rainfall for California and a sample of 45 years of rainfall for New York has been taken. Use z-table.
a. Show the probability distribution of the sample mean annual rainfall for California. (to 4 decimals).
b. What is the probability that the sample mean is within 1 inch of the population mean for California? (to 4 decimals)
c. What is the probability that the sample mean is within 1 inch of the population mean for New York? (to 4 decimals)
Solutions
orchestra answered 2 years agoRelated Solutions
According to the Current Results website, the state of California has a mean annual rainfall of...
According to the Current Results website, the state of
California has a mean annual rainfall of 25 inches, whereas the
state of New York has a mean annual rainfall of 52 inches. Assume
that the standard deviation for both states is 3 inches. A sample
of 30 years of rainfall for California and a sample of 45 years of
rainfall for New York has been taken. Use z-table.
a. Show the probability distribution of the
sample mean annual rainfall for...
According to the Current Results website, the state of California has a mean annual rainfall of...
According to the Current Results website, the state of
California has a mean annual rainfall of 20 inches, whereas the
state of New York has a mean annual rainfall of 35 inches. Assume
that the standard deviation for both states is 4 inches. A sample
of 30 years of rainfall for California and a sample of 45 years of
rainfall for New York has been taken. Use z-table.
a. Show the probability distribution of the
sample mean annual rainfall for...
According to the Current Results website, the state of California has a mean annual rainfall of...
According to the Current Results website, the state of
California has a mean annual rainfall of 23 inches, whereas the
state of New York has a mean annual rainfall of 45 inches. Assume
that the standard deviation for both states is 3 inches. A sample
of 30 years of rainfall for California and a sample of 45 years of
rainfall for New York has been taken. Use z-table. a. Show the
probability distribution of the sample mean annual rainfall for...
The state of California has a mean annual rainfall of 23 inches, whereas the state of...
The state of California has a mean annual rainfall of 23 inches,
whereas the state of New York has a mean annual rainfall of 53
inches ( Current Results website, October 27,2012). Assume that the
standard deviation for both states is 2 inches. A sample of 30
years of rainfall for California and a sample of 45 years of
rainfall for New York has been taken.
a. Show the probability distribution of the sample mean annual
rainfall for California.
b....
The state of California has a mean annual rainfall of 27.6 inches, whereas the state of...
The state of California has a mean annual rainfall of 27.6
inches, whereas the state of New York has a mean annual rainfall of
44.5 inches. Assume the standard deviation for California is 6.3
inches and for New York is 8.2 inches. Find the probability that,
for a sample of 40 years of rainfall for California, the mean
annual rainfall is at least 29 inches.
The state of California has a mean annual rainfall of 27.6 inches, whereas the state of...
The state of California has a mean annual rainfall of 27.6
inches, whereas the state of New York has a mean annual rainfall of
48.7 inches. Assume the standard deviation for California is 7.4
inches and for New York is 3.1 inches. Find the probability that,
for a sample of 45 years of rainfall for California, the mean
annual rainfall is at least 29 inches.
The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches.
The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches. Assume that the standard deviation for both states is 4 inches. A sample of 33 years of rainfall for California and a sample of 46 years of rainfall for New York has been taken. (a) Show the probability distribution of the sample mean annual rainfall for California. A bell-shaped curve is above a horizontal...
The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches.
The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches. Assume that the standard deviation for both states is 4 inches. A sample of 34 years of rainfall for California and a sample of 46 years of rainfall for New York has been taken.
(a)
Show the probability distribution of the sample mean annual rainfall for California.
A bell-shaped curve is above a...
The annual rainfall in a region has a normal distribution with a mean rainfall of 50...
The annual rainfall in a region has a normal distribution with a
mean rainfall of 50 inches and a standard deviation of 10 inches.
what is the probability that the total rainfall of four randomly
picked years will exceed 220 inches?
The Bureau of Meteorology of the Australian Government provided the mean annual rainfall (in millimeters) in...
The Bureau of Meteorology of the Australian Government provided
the mean annual rainfall (in millimeters) in Australia 1983–2002 as
follows (http://www.bom.gov.au/ climate/change/rain03.txt) 499.2,
555.2, 398.8, 391.9, 453.4, 459.8, 483.7, 417.6, 469.2, 452.4,
499.3, 340.6, 522.8, 469.9, 527.2, 565.5, 584.1, 727.3, 558.6,
338.6 Construct a 99% two-sided confidence interval for the mean
annual rainfall. Assume population is approximately normally
distributed. Round your answers to 2 decimal places.
less-than-or-equal-to mu less-than-or-equal-to
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