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Pepsi [2]
2 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]2 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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A divided by 9= -4 plss solve
iragen [17]

Answer:

<h3>\boxed{ \bold{ \sf{ \huge{ \boxed{ a =  - 36}}}}}</h3>

Step-by-step explanation:

\sf{ \frac{a}{9}  =  - 4}

Apply cross product property

⇒\sf{a  =  - 4 \times 9}

Multiply the numbers

⇒\sf{a =  - 36}

Hope I helped!

Best regards!!

8 0
3 years ago
Five years from now, the sum of the ages of a women and her daughter will be 40 years. The difference in their present age is 24
Tomtit [17]

Answer:

Daughter age = 3 years

Step-by-step explanation:

Let x be the age of the women and y be the age of the daughter.

Given:

After five year the sum of the women and daughter age = 40

(x+5)+(y+5)=40

At present the sum of the women and daughter age

x+5+y+5=40

x+y+10=40

x+y=40-10

x+y=30--------------(1)

So the sum of the present age is x+y=30

The difference in their present age is 24 years.

x-y=24

x=24+y

Now we substitute x value in equation 1.

(24+y)+y=30

24+2y=30

2y=30-24

2y=6

y=\frac{6}{2}

y=3\ years

Therefore, the daughter age is 3 years.

7 0
3 years ago
Please explain your answer as well, THANKS!!!
dusya [7]

Answer:

11,232,000

Step-by-step explanation:

The key to this problem is knowing "repetition is NOT ALLOWED".

<u>For the first 3 letters slot:</u>

For the 1st slot, we can pick any of the 26 alphabets

For the 2nd slot, we can pick any of the 25 remaining alphabets (since 1 is already taken)

For the 3rd slot, we can pick any of the 24 remaining letters (since 2 is already taken)

<u>For the three digits slot:</u>

For the 1st slot, we can pick any one of the 10 digits

For the 2nd slot, we can pick any one of the 9 digits left, since 1 is taken already

For the 3rd slot, we can pick any one of the 8 digits left, since 2 is already taken

The number of license plates, thus, would be all of these multiplied together:

26 * 25 * 24 * 10 * 9 * 8 = 11,232,000

7 0
3 years ago
You were paid $82.50 for seven 1/2 hours <br> of work what is your rate of pay
sertanlavr [38]
$11 per hour. Divide 82.5 by 7.5 and you get how much money she earns in an hour (11 dollars)
6 0
3 years ago
Can someone please help me
inna [77]

Answer:

hope this helps you ...

3 0
3 years ago
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