The heights of male seniors in high school closely follow a normal distribution N(µ,σ) = N(70.5,2.6) , where the units are inches. a) If we randomly sample the heights of five male seniors, what distribution should the sample mean follow? Give your answers to two decimal places.

Answers

Answer 1

The sample will also be normally distributed, with same mean as the population, so µ = 70.5, but the standard deviation would be divided by the square root of the sample size, so σ = 2.6/√5 ≈ 1.16.

N(70.5, 1.16)

Answer 2

The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.

What is a normal distribution?

A normal distribution is a probability distribution that is used to represent events with a default behaviour and accumulated potential departures from it.

As it is given that the heights of male seniors in high school closely follow a normal distribution N(µ,σ) = N(70.5,2.6), where the units are inches.

Therefore, the mean will be the same (µ = 70.5), but the standard deviation for the sample size of the heights of five male seniors, can be written as,

[tex]s=\dfrac{\sigma}{\sqrt n} = \dfrac{2.6}{\sqrt5} = 1.16[/tex]

Hence, The sample will also be normally distributed, with the same mean as the population(µ = 70.5) and the standard deviation of 1.16 inches.

Learn more about Normal Distribution:

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y=1/2+3/2

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Answer:

option 2: f(x) = 4x + 4

Step-by-step explanation:

Graph is positive, so with this you should already know that options: 1, 3, 4 are incorrect since those are negative.

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what’s the problem look like?

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Answers

Answer:

The same number of tickets was sold on the fourth day and tenth day.

Step-by-step explanation:

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Hence, the correct statement is "The same number of tickets was sold on the fourth day and tenth day."

Answer:

In simpler terms, for the edge answer;

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Answer:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Answers

The new height of the plant when it was last measured is [tex]\frac{2}{5}cm[/tex] tall

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The new height of the plant when it was last measured is  tall

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Answers

Answer:

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25 / 6 = 4.16 per pizza

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Answers

Answer:

pair of jeans = 21  

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Step-by-step explanation:

Let the cost of each pair of jeans be $ x, and the cost of each shirt be $ y.

Since, cost of each pair of jeans is $ x, the cost of 5 pair of jeans will be $ 5x and cost of 2 shirts will be $ 2x.

Likewise, the cost of each pair of jeans is $ x, so the cost of 3 pair of jeans will be $ 3x and cost of 4 shirts will be $ 4y.

5 pair of jeans and 2 shirts for $166. This means:

            Equation 1:    5x + 2y = 166                                            

3 pair of jeans and 4 shirts for $164. This means:

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just swap the first two and you should be good

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