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
Angelina_Jolie [31]
3 years ago
5

The makers of a soft drink want to identify the average age of its consumers. A sample of 25 consumers was taken. The average ag

e in the sample was 31 years with a standard deviation of 3.8 years.The Margin of error of the 99% confidence interval for the average age of the consumers is a.1.90 years b.2.13 years c.4.10 years d.1.65 years
Mathematics
1 answer:
Lelu [443]3 years ago
8 0

Answer:

a.1.90 years

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.

So it 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.

In this question:

n = 25, \sigma = 3.8

So

M = 2.575*\frac{3.8}{\sqrt{25}} = 1.90

So the correct answer is:

a.1.90 years

You might be interested in
Find the greatest common factor.<br> 42²x² + 42²x+ 40²<br> Enter the correct answer.
svlad2 [7]

Answer:

4a^2

Step-by-step explanation:

4a^2x^2+4a^2x+4a^2= \\\\4a^2(x^2+x+1)

Therefore, the largest common factor is 4a^2. Hope this helps!

3 0
2 years ago
I need the range for this.
docker41 [41]

Answer:

(-3, 3)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the product.
dlinn [17]
The correct answer of the given expression above would be the last option. We just solved this using the distributive property.
So: <span>(a - 3)(a - 5)
a^2 -3a -5a + 15
a^2 -8a + 15
Hope this is the answer that you are looking for. Have a great day!</span>
4 0
2 years ago
Find the common ratio of the geometric sequence 11, -55, 275,...11,−55,275,...
Kaylis [27]

Answer:

r = -5

Step-by-step explanation:

common ratio (r) is found be dividing one term by its preceding term:

r = 275 ÷ -55 = -5

or, r = -55 ÷ 11 = -5

Therefore, r = -5

3 0
2 years ago
The particle of dust has a mass of 7.53x10 to the-10 kilograms. Find the weight of 5 billion dust particles
Vitek1552 [10]
Multiply the dust particle mass by 5 billion..
On a calculator use the "EE" button is shorthand for: x10^ whatever power you want.
5x10^9 x 7.53x106-10 = 3.765
6 0
2 years ago
Read 2 more answers
Other questions:
  • The temperature of the furnace is 1200 and cool at a rate of 15 per minute the temperature of another furnace is 900 and is heat
    12·1 answer
  • will ate a snack with 68.44 total calories.If the chip he ate were 39.94 calories, how many calories were in the rest of his sna
    5·1 answer
  • Find the answer to the question please 16t^4/8t
    9·1 answer
  • One of your classmates is working on an assignment for her statistics class. She created an online survey to collect student opi
    11·1 answer
  • −k−(−8k+7) I'm confused, what is the answer?
    14·1 answer
  • Which of the following is true about the expression v3 • V12?
    7·2 answers
  • Write a paragraph to describe a time when you collaborate with a
    15·2 answers
  • Can someone help me pls?
    5·1 answer
  • What are the answers to these???
    9·1 answer
  • Please help me i’m am struggling hard on these questions !!!!
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!