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
Tanya [424]
3 years ago
8

A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is kn

own that the standard deviation of the population is 22 mph. The 95 percent confidence interval for μ is determined as (61.08, 68.92). If we are to reduce the sample size to 100 (other factors remain unchanged), the 95 percent confidence interval for μ would: Question 6 options: be the same. become wider. become narrower. be impossible to determine.
Mathematics
1 answer:
loris [4]3 years ago
4 0

Answer:

95 percent confidence interval for μ is determined by

(60.688 ,  69.312)

a) be the same

Step-by-step explanation:

<u>Step (i)</u>:-

Given data a random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph.

The sample size is n= 121

The mean of the sample x⁻ = 65mph.

The standard deviation of the population is 22 mph

σ = 22mph

<u>Step (ii) :</u>-

Given  The 95 percent confidence interval for μ is determined as

(61.08, 68.92)

we are to reduce the sample size to 100 (other factors remain unchanged) so

given The sample size is n= 100

The mean of the sample x⁻ = 65mph.

The standard deviation of the population is 22 mph

σ = 22mph

<u>Step (iii)</u>:-

95 percent confidence interval for μ is determined by

(x^{-} - 1.96\frac{S.D}{\sqrt{n} } , x^{-} + 1.96 \frac{S.D}{\sqrt{n} } )

(65 - 1.96\frac{22}{\sqrt{100} } , 65 + 1.96 \frac{22}{\sqrt{100} } )

(65 - 4.312 ,65 +4.312)

(60.688 ,  69.312) ≅(61 ,69)

This is similar to (61.08, 68.92) ≅(61 ,69)

<u>Conclusion</u>:-

it become same as (61.08, 68.92)

You might be interested in
-2x +8 &gt;4? pls help me
Alex Ar [27]

Answer:

x > 2

Step-by-step explanation:

-2x > -4 you get this by subtracting 8 from the left side and in turn subtracting 8 from the other side

x > 2 you get this by dividing -2 from both sides

3 0
2 years ago
Read 2 more answers
Julie says I added three odd numbers and my answer was 50 explain why Julie cannot be correct
ANTONII [103]
Julie cannot be right. That's because if you add three odd numbers together, <em>you always get an odd number. </em>The number 50 is an Even number.

Let's try adding 3 odd numbers together a couple of times...
3 + 3 + 3 = 9 
5 + 1 + 5 = 11 
7 + 3 + 5 = 15 
We tried 3 examples, we could not get any even number. So, Julie's claim is wrong. 

8 0
3 years ago
Read 2 more answers
Please help yall I gotta pass this test
Stella [2.4K]

Answer:

12.05

is the answer I think

7 0
3 years ago
X. 3. 8. 13. 18
Aloiza [94]
If it’s a slope- intercept form/ y=mx+b then it’s y=1x+0 because each time it goes up one and over one which is 1/1 or 1 whole and the y-intercept is at (3,0) and we use the Y which is 0
5 0
3 years ago
The velocity of a particle can be modeled by the function mc041-1.jpg. Which graph accurately shows the velocity of the particle
BigorU [14]
The simplest way to solve this is to notice that letting t = 8/3 will let the term (3t-8) = 0. Substituting this will make v(t) = 2. Then we check which graphs pass through (8/3, 2). Only the second and third graphs do.

Next, we look at the behavior of the graph as t increases. Based on the equation, as t increases, (3t-8)^3 increases as well, so v(t) will increase as well. This is shown by the second graph, in which v(t) increases as t increases.
5 0
3 years ago
Read 2 more answers
Other questions:
  • How would you solve this?
    14·1 answer
  • The list shows the number of stories in the 11 tallest buildings
    10·1 answer
  • Specify the domain for the function !!! 10 points - Help needed !
    14·1 answer
  • How many 2/3 pieces can you cut from a 10 foot long board
    5·1 answer
  • Can someone answers this please
    5·1 answer
  • PLEASE ANSWER I WILL GIVE YOU BRAiNIEST!!!!!!!!!!!!!!!1
    8·1 answer
  • What is the least common denominator of 1/5a +1=3/10
    13·1 answer
  • X(x+7)=0 solve whatever this id
    5·1 answer
  • Someone please help me I’ll give out brainliest please dont answer if you don’t know
    11·2 answers
  • Without using a calculator, order the following numbers from least to greatest. 14 V200 15​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!