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
Step2247 [10]
3 years ago
11

IQ tests are scaled so that the mean score in a largepopulation should be μ =100. We suspect that the very-low-birth-weight popu

lation has mean score less than100. Infants weiging less than 1500 grams at birth are classed as "very low birth weight". Low birth weight carriesmany risks. One study followed 113 male infants with very low birth weight to adulthood. At age 20, the mean IQ score for these men was (x bar=87.6.) Iq scores vary Normally with standard deviation σ=15. Give a 95% confidence interval for the mean IQ score at age 20 for allvery-low-birth-weight males. Use the four-step process for confidence interval.
Mathematics
1 answer:
Rudiy273 years ago
5 0

Answer:

The 95% confidence interval is  84.83<  \mu < 90.37

Step-by-step explanation:

From the question we are told that

    The  sample size is  n  = 113

     The sample mean is  \= x  =  87.6  

      The standard deviation is  \sigma  =  15

     

Given that the confidence level is  95% then the level of significance is mathematically represented as

            \alpha  =  100 - 95

             \alpha  =  5\%

             \alpha  =  0.05

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table, the value  is  

              Z_{\frac{ \alpha }{2} } =  1.96

Generally the margin of error is mathematically evaluated as

              E =  Z_{\frac{\alpha }{2} } *  \frac{ \sigma}{ \sqrt{n} }

=>          E =  1.96  *  \frac{ 15}{ \sqrt{113} }

=>          E =  2.77

The  95% confidence interval is mathematically represented as

          \= x - E <  \mu <   \= x + E

substituting values

        87.6  - 2.77<  \mu < 87.6  + 2.77

        84.83<  \mu < 90.37

You might be interested in
The grade you make on your exam varies directly with the number of correct answers you get on the exam.Answering 15 questions co
yuradex [85]

<u>Answer:</u>

The grade you make on your exam varies directly with the number of correct answers. The constant of variation is 5

<u>Solution:</u>

Given, The grade you make on your exam varies directly with the number of correct answers you get on the exam.  

Answering 15 questions correctly will give you a grade of 75 what is the.  

We have to find what is the Constant of variation.

Now, according to the given information, grade  number of correct answer  

Then, grade = c x number of correct answers, where c is constant of variation.

Now, substitute grade = 75 and number of correct answers = 15

\text { Then, } 75=c \times 15 \rightarrow c=\frac{75}{15}=5

Hence, the constant of variation is 5

5 0
3 years ago
810 songs; 130% increase
horrorfan [7]
To do 130% increase you multiply by 1.3 so you do 810 × 1.3 = 1053
4 0
3 years ago
Given that (-8,- 7) in on the graph of f(x), find the corresponding point for the fuction f(x -4)
kiruha [24]
The point (x1,y1) on the graph of f(x) is the point (x1-a,y1) for the function
f(x+a)

(-8,-7)=(x1,y1)→x1=-8, y1=-7
f(x-4)=f(x+a)→a=-4

(x1-a, y1)=(-8-(-4), -7)=(-8+4, -7)=(-4,-7)

<span>The corresponding point for the fuction f(x -4) is (-4,-7)</span>
8 0
3 years ago
What two facts can you double to Find 8×4
vitfil [10]
4 is equal to 2*2 (double the 2 is 4)
7 0
3 years ago
Why does y=cos(2x)sin(2x)​ simplify to y=sin(4x)/2 for derivatives?
kramer

Answer:

First y

y=0

second y

y=0

3 0
3 years ago
Other questions:
  • What do I do if my friend wants me to play game, but I have work to do instead?
    6·2 answers
  • Ng an algebraic procedure, as shown below.
    12·1 answer
  • Nvm, it took to long.
    15·1 answer
  • A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, 2 hours to paint
    11·1 answer
  • 8x+12=4(3+2x)<br><br> Show your work please
    10·2 answers
  • Decide whether or not it is a function.​
    11·1 answer
  • A submarine on the surface of the ocean descended at a rate of 7 feet per second for 2 minutes. Then it ascended at a rate of 4
    10·2 answers
  • Which equation represents the graph?
    12·2 answers
  • A small bookstore sold between 5 and 8 books each day for 7 days. Tell whether the graph is continuous or discrete.
    13·1 answer
  • simplify the following expression: (x+7/4x) + (5/x-8) I also attached a photo of the problem if you get confused on how I typed
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!