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worty [1.4K]
3 years ago
6

The time spent, in hours, of teenagers on social media per year are normally distributed with a population standard deviation of

442 hours and an unknown population mean. If a random sample of 24 teenagers is taken and results in a sample mean of 1330 hours, find a 99% confidence interval for the population mean.
Mathematics
1 answer:
Olin [163]3 years ago
3 0

Answer:

1329.85≤μ≤1330.14

Step-by-step explanation:

z score for 99% confidence interval

from the z table we can find that the score for 99% confidence is 2.58

formula

z=\frac{x-μ}{[tex]\frac{{σ}[tex]\sqrt{n}}[/tex]}[/tex]

where

x-sample mean

μ-population mean

σ-population standard deviation

n-sample size

2.58=\frac{1330-μ}{[tex]\frac{{442}[tex]\sqrt{24}}[/tex]}[/tex]

1330-2.58×24÷442≤μ≤1330+2.58×24÷442

1329.85≤μ≤1330.14

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kelly can paint her father's shed in five hours, working alone. working together, she and her sister sharon can complete the tas
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According to the solving the correct expression of the given data is:

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<h3>What does a math expression mean?</h3>

At least two numbers as well as variables, one or more arithmetic operations, and a statement are all required components of a mathematical expression. With the help of this mathematical operation, you can multiply, divide, add, or subtract. A sentence has the following structure: (Number or Variable, Math Operator, Number or Variable) is an expression.

<h3>How does a term come to mind?</h3>

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<h3>According to the given information:</h3>

Let S be the number of hours it would take Sharon to paint the shed alone.

Kelly alone can paint the shed in T hours,

so she can paint (1/T) of a shed per hour.

Sharon alone can paint (1/S) shed per hour, so, working together.

They can Paint:

(1/T)+(1/S)

it takes them five hours to paint the shed together, they can paint (1/5) shed per hour.

$\frac{1}{S}+\frac{1}{T}=\frac{1}{5}$\\

$\frac{1}{S}+\frac{1}{T}-\frac{1}{T}\\\\=\frac{1}{5}-\frac{1}{T}$

After simplifying this we get:

(T - 5)/5T

the reciprocal of both expressions:

S = 5T/(T - 5)

According to the solving the correct expression of the given data is:

S = 5T/(T - 5).

To know more about arithmetic operation visit:

brainly.com/question/25834626

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