Question
In: Statistics and Probability
(1) Coal is carried from a mine in West Virginia to a power plant in New...
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(1) Coal is carried from a mine in West Virginia to a power plant in New York in hopper cars on a long train. The automatic hopper car loader is set to put 75 tons of coal into each car. The actual weights of coal loaded into each car are normally distributed, with mean μ = 75 tons and standard deviation σ = 0.8 ton.
(a) What is the probability that one car chosen at random will have less than 74.5 tons of coal?
(b) What is the probability that 20 cars chosen at random will have a mean load weight of less than 74.5 tons of coal?
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(2) Suppose we are interested in finding a 95% confidence interval for the mean SAT Verbal score of students at a certain high school. Five students are sampled, and their SAT Verbal scores are
560, 500, 470, 660, 640.
(a) Find the mean and standard deviation of this sample. You may use R.(b) Find a 95% confidence interval for the mean SAT Verbal scores.
Solutions
orchestra answered 2 years agoRelated Solutions
Coal is carried from a mine in West Virginia to a power plant in New York...
Coal is carried from a mine in West Virginia to a power plant in
New York in hopper cars on a long train. The automatic hopper car
loader is set to put 62 tons of coal into each car. The actual
weights of coal loaded into each car are normally distributed, with
mean μ = 62 tons and standard deviation σ = 0.6 ton.
(a) What is the probability that one car chosen at random will
have less than 61.5...
Coal is carried from a mine in West Virginia to a power plant in New York...
Coal is carried from a mine in West Virginia to a power plant in
New York in hopper cars on a long train. The automatic hopper car
loader is set to put 73 tons of coal into each car. The actual
weights of coal loaded into each car are normally distributed, with
mean μ = 73 tons and standard deviation σ = 0.6 ton.
(a) What is the probability that one car chosen at random will
have less than 72.5...
Coal is carried from a mine in West Virginia to a power plant in New York...
Coal is carried from a mine in West Virginia to a power plant in
New York in hopper cars on a long train. The automatic hopper car
loader is set to put 66 tons of coal into each car. The actual
weights of coal loaded into each car are normally distributed, with
mean ? = 66 tons and standard deviation ? = 1.2 ton.
(a) What is the probability that one car chosen at random will
have less than 65.5...
Coal is carried from a mine in West Virginia to a power plant in New York...
Coal is carried from a mine in West Virginia to a power plant in
New York in hopper cars on a long train. The automatic hopper car
loader is set to put 71 tons of coal into each car. The actual
weights of coal loaded into each car are normally distributed, with
mean μ = 71 tons and standard deviation σ = 1.4 ton.
(a) What is the probability that one car chosen at random will
have less than 70.5...
Coal is carried from a mine in West Virginia to a power plant in New York...
Coal is carried from a mine in West Virginia to a power plant in
New York in hopper
cars on a long train. The automatic hopper car loader is set to put
75 tons of coal into
each car. The actual weights of coal loaded into each car are
normally distributed, with
mean μ = 75 tons and standard deviation σ = 0.8 ton.
(a) What is the probability that one car chosen at random will
have less than 74.5...
Coal is carried from a mine in West Virginia to a power plant in New York...
Coal is carried from a mine in West
Virginia to a power plant in New York in hopper cars on a long
train. The actual weight of coal loaded into each car are normally
distributed with a mean of 75 tons and a standard deviation of 0.8
tons. Let be the average coal weight of a
random sample of 20 cars.
Calculate the mean and the standard deviation of , and describe
the shape of its sampling distribution.
What is the probability...
Coal is carried from a mine in West Virginia to a power plant in New York...
Coal is carried from a mine in West Virginia to a power plant in
New York in hopper cars on a long train. The automatic hopper car
loader is set to put 51 tons of coal into each car. The actual
weights of coal loaded into each car are normally
distributed, with mean μ = 51 tons and standard
deviation σ = 1.3 ton.
(a) What is the probability that one car chosen at random will
have less than 50.5...
Coal is carried from a mine in West Virginia to a power plant in New York...
Coal is carried from a mine in West Virginia to a power plant in
New York in hopper cars on a long train. The automatic hopper car
loader is set to put 68 tons of coal into each car. The actual
weights of coal loaded into each car are normally distributed, with
mean μ = 68 tons and standard deviation σ = 1.6 ton.
(a) What is the probability that one car chosen at random will
have less than 67.5...
Coal is carried from a mine in West Virginia to a power plant in New York...
Coal is carried from a mine in West Virginia to a power plant in
New York in hopper cars on a long train. The automatic hopper car
loader is set to put 85 tons of coal into each car. The actual
weights of coal loaded into each car are normally distributed, with
mean μ = 85 tons and standard deviation σ = 1.8 ton.
(a) What is the probability that one car chosen at random will
have less than 84.5...
Coal is carried from a mine in West Virginia to a power plant in New York...
Coal is carried from a mine in West Virginia to a power plant in
New York in hopper cars on a long train. The automatic hopper car
loader is set to put 59 tons of coal into each car. The actual
weights of coal loaded into each car are normally
distributed, with mean μ = 59 tons and standard
deviation σ = 0.9 ton.
(a) What is the probability that one car chosen at random will
have less than 58.5...
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