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
bija089 [108]
3 years ago
15

A sample size must be determined for estimating a population mean given that the confidence level is ​% and the desired margin o

f error is . The largest value in the population is thought to be and the smallest value is thought to be . Calculate the sample size required to estimate the population mean using a generously large sample size.​ (Hint: Use the​ range/6 option.)
Mathematics
1 answer:
Sauron [17]3 years ago
6 0

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 n =290

b

 n =129

c

 The correct option is  D

Step-by-step explanation:

From the question we are told that

    The margin of error is   E  =  0.23

     The largest value is  k =  15

     The smallest value is  u = 7

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally population  standard deviation estimate is mathematically represented as

      \sigma  =  \frac{Range }{4}

Here the Range is mathematically represented as

       Range  =  k - u

=>    Range  = 15 - 7

=>    Range  = 8

=>   \sigma  =  \frac{8 }{4}

=>   \sigma  =  2

Generally the sample size is mathematically represented as

n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2

=>   n = [1.96  *  2 }{0.23} ] ^2

=>   n =290

Generally to obtain a  conservatively small sample size the population standard deviation estimate becomes

=>   \sigma  =  \frac{Range }{6}

=>   \sigma  =  \frac{8 }{6}

=>   \sigma  =1.333

Generally the conservatively small sample size is mathematically evaluated as

n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2

=>   n = [1.96  *  1.333 }{0.23} ] ^2

=>   n =129  

 

You might be interested in
Evaluate ∫ e3x cosh 2x dx A.1/ e5x+1/ex+C 10 2 B. 1/ e3x + 1/ x + C 42 C. 1/ e5x + 1/ 10 5 x + C D. 1/ e5x + 1/ ex + C 22
Irina18 [472]
Sh(2x) = (e^2x + e^-2x)/2 

<span>Thus the integral becomes </span>

<span>Int[e^3x*(e^2x + e^-2x)/2] = Int[(e^5x + e^x)/2] </span>

<span>= e^5x/10 + e^x/2 + C 
</span>=(1/10)(e^5x) + (1/2)(e^x) + C
3 0
3 years ago
pablo will rent a car for the weekend. he can choose one of two plans. the first plan has an initial fee of $55.96 with addition
sergeinik [125]

Answer:

200 miles

Step-by-step explanation:

63.96+(.08x)=55.96+(.12x). x=200. 63.96+(.08x200)=79.96. 55.96+(.12x200)= 79.96

7 0
3 years ago
Read 2 more answers
What is the domain of the function below?
skad [1K]

Answer:

A. {-9, -4, -1}

Step-by-step explanation:

Every number on the f(x) side is the domain which is the input numbers.

If you have any additional questions feel free to ask me or your teacher so you can really master what you're learning. :)

6 0
3 years ago
Read 2 more answers
How to simplify the problem
inysia [295]
I think you would divide each by 2 and get 1 over 1 which would be 1 squared over 1 (negative) cubed

Hope this helps!
6 0
3 years ago
Read 2 more answers
F(x)=4x^2+3x+13<br><br> Find f(1)
Pani-rosa [81]

Answer:

f(1) = 42

Step-by-step explanation:

Step 1: Switch all x out to 1 for f(1) which would look like this: f(1)=4(1)^2+3(1)+13

Step 2: You would then simplify it starting with 4(1)^2 which would equal 4 squared which equals 16.

Step 3: After simplifying you would have f(1)=16+3+13

Step 4: You then just add and get 42

Hope this helped :D

7 0
3 years ago
Other questions:
  • Write this trinomial in factored form. 3b^2+b-14​
    14·1 answer
  • u can look this up here on brainly for an answer source if you want but do the one that has the greatest points... its on google
    5·1 answer
  • The area of a rectangle is 99 square inches. What is the new area of the rectangle if the height were five times long and the ba
    12·1 answer
  • What is the square root of 5
    12·1 answer
  • 1 2 4 6 7 10 10 14 ?​
    10·2 answers
  • A recipe for a loaf of bread calls for of a cup of flour. If Milo used 12 cups of flour, how many loaves of bread did he prepare
    10·2 answers
  • The perimeter of the aqua rectangle is 72 feet. What is the measure of the rectangle’s longest side?
    11·1 answer
  • which of the following ordered pairs could be placed in the table below and still have the relation qualify as a linear function
    7·1 answer
  • ______ an antiques dealer, paid $150 for a painting. She wants to sell the painting for
    6·2 answers
  • Suppose your class is planning a trip to a museum for 40 students. The cost of admission is $7 per person. The cost of renting a
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!