Solar energy is considered by many to be the energy of the future. A recent survey was taken to compare the cost of solar energy to the cost of gas or electric energy. Results of the survey revealed that the distribution of the amount of the monthly utility bill of a​ 3-bedroom house using gas or electric energy had a mean of $121 and a standard deviation of $12. If the distribution can be considered bell​ shaped, what percentage of homes will have a monthly utility bill of more than $109​?

Q: Assume that the hourly costs of operating a commercial aircraft are normally distributed with a mean…

A:

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Q: The carbon dioxide emissions of EU nations had a mean of 7.9 and standard deviation of 3.6. a.…

A: Given: Mean=μ=7.9 Standard deviation=σ=3.6

Q: Suppose a convenience store near a college campus sells two complementary products, energy drinks…

A: Let, X denotes the number of energy drinks and Y denotes the number of snacks sold per students.…

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A: Old mean = E(X) = 158000 Old SD = SD(X) = 32000

Q: Imagine that every elementary school in California is measured on several characteristics and then…

A: For Carver:mean(μ)=10.1standard deviation(σ)=2.3and score (X)=13.2For Bryant:mean(μ)=9.8standard…

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A: The recommended daily allowance is then defined as the mean plus 2.8 times the standard deviation.

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A: Solution

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A: It is given that  Mean, μ = 2000 Standard deviation, σ = 320 Z-Score, Z = ( X - μ )/σ

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A:

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A: Here, population standard deviation is known, so we can perform a z-test .

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A: From the provided information,

Q: The fraction of the population that will receive adequate amounts of vitamins under the given plan…

A: In nutrition, the recommended daily allowance of vitamins is a number set by the government to guide…

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A:

Q: Suppose that prices of recently sold homes in one neighborhood have a mean of $265,000 with a…

A: For the distribution of the price of the recently sold homes, the parameters are specified as…

Q: Two different species of trees have heights that are approximately normal in distribution. Tree A…

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Q: Consider the variable, type of birth control practiced (e.g., an IUD, condoms, none, etc). Which…

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A:

Q: A bank loan officer rates applicants for credit. The ratings can be described by a normal model with…

A: Given: μ = ​200 σ = 50

Q: A recent survey was conducted to compare the cost of solar energy to the cost of gas or electric…

A: Given that: Population mean,μ=123 Population standard deviation, σ=9

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Q: Suppose the heights of women at a college are approximately Normally distributed with a mean of 65…

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