1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
Given: 5n - 42 - 12n: Prove: n = -6<br> Statements : <br><br> Reasons :
OlgaM077 [116]
5*-6-42-12*12*-6=0
the answer is: 0
6 0
3 years ago
3)June 2019-In the diagram below of AABC, D is a
Alexeev081 [22]

Answer:

BC = 23.8

Step-by-step explanation:

See the diagram attached.

Given AC ║ DE and BD = 5, DA = 12 and BE = 7.

We have to find BC.

Since, AC ║ DE, so, Δ ABC and Δ DBE are similar.

If two triangles are similar then the ratio of their corresponding sides remains the same.

Hence, \frac{BD}{BA} = \frac{BE}{BC}

⇒ \frac{5}{12 + 5} = \frac{7}{BC}

⇒ BC = \frac{7 \times 17}{5} = 23.8 (Answer)

7 0
3 years ago
Which is one reason why this expression is equal to 0?
Sphinxa [80]

Answer:

There is no expression

6 0
3 years ago
Two classes raised money to help animals. Mr. Diaz's
juin [17]

Answer:

C

Step-by-step explanation:

242-130

6 0
3 years ago
-10&lt;-3/2z+2&lt;-4 is this a solution
Tresset [83]
Do you have a picture of the problem
7 0
3 years ago
Other questions:
  • 9x²-6xy+4y²≥0 помогите
    5·1 answer
  • The distribution of weights of potato chip bags filled off a production line is unknown. However, the mean is m=13.35 OZs and th
    14·1 answer
  • Is centimeters considered a type of surface area ???
    15·1 answer
  • LAST QUESTION...ILL GIVE BRAINLESS FOR BEST EXPLANATION​
    13·1 answer
  • A
    5·1 answer
  • Daniel used the formula to find the area of the following special trapezoid. His work is shown. Identify his error and correct i
    12·2 answers
  • Weather data is collected to analyze wind speed according to temperature. Identify the variables as either input or output to la
    11·1 answer
  • What is the slope of the line represented by the following equation?
    6·1 answer
  • Solve for x.<br> 3(x + 2) = 12<br> 2<br> X = 4<br> 3<br> 1<br> x = 3<br> 3<br> O<br> x = 2<br> x = 6
    12·1 answer
  • I love each and everyone of yall for helping me lOVE you guys so so much i lOVE THIS APP!
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!