Question
In: Statistics and Probability
A set of observations that are normally distributed with μ = 35 and σ = 2.5...
A set of observations that are normally distributed with μ = 35 and σ = 2.5 is being studied.
1. What percent of the observations are below 32.5?
2. What percent of the observations are above 30?
3. What percent of observations are below 32?
Solutions
orchestra answered 1 year agoRelated Solutions
For a random variable that is normally distributed, with μ = 80 and σ = 10,...
For a random variable that is normally distributed, with μ = 80
and σ = 10, determine the probability that a simple random sample
of 25 items will have a mean between 78 and 85?
a.
83.51%
b.
15.87%
c.
99.38%
d.
84.13%
Suppose a population of scores x is normally distributed with μ = 16 and σ =...
Suppose a population of scores x is normally distributed with μ
= 16 and σ = 5. Use the standard normal distribution to find the
probability indicated. (Round your answer to four decimal
places.)
Pr(16 ≤ x ≤ 18.6)
Suppose that a population is known to be normally distributed with μ =2,400 and σ=220. If...
Suppose that a population is known to be normally distributed
with μ =2,400 and σ=220. If a random sample of size n=88 is
selected, calculate the probability that the sample mean will
exceed 2,500
P(x > 2,500)=
(Round to four decimal places as needed.)
Suppose a population of scores x is normally distributed with μ = 16 and σ =...
Suppose a population of scores x is normally
distributed with μ = 16 and σ = 5. Use the
standard normal distribution to find the probability indicated.
(Round your answer to four decimal places.)
Pr(16 ≤ x ≤ 18.3)
You may need to use the table of areas under the standard normal
curve from the appendix.
Also,
Use the table of areas under the standard normal curve to find
the probability that a z-score from the standard normal
distribution will...
A data set that X that is normally distributed with µ = 400 and a σ...
A data set that X that is normally distributed with µ = 400 and
a σ = 20. (Show Work)
a. What is P(370 < X < 410) = _________
b. Determine the value of X such that 70% of the values are
greater than that value. _____
A data set that X that is normally distributed with µ = 400 and a σ...
A data set that X that is normally distributed with µ = 400 and
a σ = 20.
a. What is P(370 < X <
410) = _________
b. Determine the value of X such
that 70% of the values are greater than that value. _____
A data set that X that is normally distributed with µ = 400 and a σ...
A data set that X that is normally distributed with µ = 400 and
a σ = 20.
a. What is P(370 < X <
410) = _________
b. Determine the value of X such
that 60% of the values are greater than that value. _____
PLEASE SHOW ALL YOUR WORK
Assume Y is a normally distributed population with unknown mean, μ, and σ = 25. If...
Assume Y is a normally distributed population with unknown mean,
μ, and σ = 25. If we desire to test H o: μ = 200 against
H 1: μ < 200,
(a.) What test statistic would you use for this test?
(b.)What is the sampling distribution of the test statistic?
(c.) Suppose we use a critical value of 195 for the scenario
described. What is the level of significance of the resulting
test?
(d.) Staying with a critical value of 195,...
Let Y = ex where X is normally distributed with μ = 1.6 and σ =...
Let Y = ex where X is normally distributed with μ = 1.6 and σ =
0.6. Compute the following values. [You may find it useful to
reference the z table.]
a. Compute P(Y ≤ 7.2). (Round your intermediate calculations to
at least 4 decimal places, “z” value to 2 decimal places, and final
answer to 4 decimal places.)
b. Compute P(9.3 < Y < 10.6). (Leave no cells blank - be
certain to enter "0" wherever required. Round your...
The blood cholesterol levels for U.S. adults are normally distributed, with μ = 202 and σ...
The blood cholesterol levels for U.S. adults are normally
distributed, with μ = 202 and σ = 41 (units in milligrams per
deciliter). A random sample of 60 U.S. adults are chosen and their
cholesterol levels are measured. Find P(x⎯⎯⎯ > 210) for n = 60.
Enter your answer as an area under the curve with 4 decimal places.
P(x⎯⎯⎯ > 210) =
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