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Pepsi [2]
3 years ago
9

A research scholar wants to know how many times per hour a certain strand of virus reproduces. The mean is found to be 4 reprodu

ctions and the population standard deviation is known to be 2.3. If a sample of 1083 was used for the study, construct the 99% confidence interval for the true mean number of reproductions per hour for the virus. Round your answers to one decimal place.
Mathematics
1 answer:
Lynna [10]3 years ago
5 0

Answer:

The 99% confidence interval for the true mean number of reproductions per hour for the virus is between 3.8 and 4.2.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.005 = 0.995, so Z = 2.575.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.575\frac{2.3}{\sqrt{1083}} = 0.18

Rounding to one decimal place, 0.2.

The lower end of the interval is the sample mean subtracted by M. So it is 4 - 0.2 = 3.8 reproductions

The upper end of the interval is the sample mean added to M. So it is 4 + 0.2 = 4.2 reproductions.

The 99% confidence interval for the true mean number of reproductions per hour for the virus is between 3.8 and 4.2.

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Margie saves $7.25 of her allowance each week. Write an expression to represent the situation
Sophie [7]

Answer:

\displaystyle 7,25w

Step-by-step explanation:

Now, $7,25 <em>per</em><em> </em><em>week</em><em> </em>indicates multiplication:

\displaystyle 7,25w

I am joyous to assist you anytime.

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7x + 2y = 7<br> -14x + 2y = -11<br> Solve by substitution
kvasek [131]

Answer:

x = 6/7, y = 1/2

Step-by-step explanation:

7x + 2y = 7

-14x + 2y = -11

1) 7x + 2y = 7

2y = 7 - 7x

2) -14x + 2y = -11

-14x + 7 - 7x = -11

- 21x = -11-7

- 21x = - 18

x = 18/21 = 6/7

3) 2y = 7 - 7x = 7 - 7*(6/7) = 7 - 6 = 1

2y = 1

y = 1/2

7 0
3 years ago
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amm1812

\:  \:  \:  \:  \:  \:  \:

\frac{3}{10}  \\  \\ or \: in \: alternate \:  \: form \\  \\ 0.3

<h2><u>refer </u><u>to</u><u> the</u><u> attachment</u><u> for</u><u> explanation</u></h2>

<h2><u>hope</u><u> it</u><u> helps</u></h2>

4 0
2 years ago
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Identify the terms and like terms in the expression. x² - 3x + 4 + 2x² - x - 12. Thank you to anyone who helps, I appreciate it
marta [7]

Given:

The expression is:

x^2-3x+4+2x^2-x-12

To find:

The terms and like terms in the expression.

Solution:

Terms: Variables, constants and product of variable and constants are known as terms which are separated by addition sign "+".

Like terms: The terms which contain same variables with same power are known as like terms.

The given expression is:

x^2-3x+4+2x^2-x-12

It can be rewritten as:

x^2+(-3x)+4+2x^2+(-x)+(-12)

Terms are x^2,-3x,4,2x^2,-x,-12.

Like terms are x^2,2x^2 and -3x,-x and 4,-12.

4 0
3 years ago
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