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
vaieri [72.5K]
3 years ago
7

A sociologist develops a test to measure attitudes towards public transportation, and 27 randomly selected subjects are given th

e test. Their mean score is 76.2 and their standard deviation is 21.4. Find the Margin of Error (E) for the 95% confidence interval for the mean score of all such subjects.
Mathematics
1 answer:
taurus [48]3 years ago
5 0

Answer:

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 27 - 1 = 26

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0518

The margin of error is:

M = T\frac{s}{\sqrt{n}}

In which s is the standard deviation of the sample and n is the size of the sample.

In this question:

n = 27, s = 21.4. So

M = 2.0518\frac{21.4}{\sqrt{27}}

M = 8.45

The margin of error for the 95% confidence interval for the mean score of all such subjects is of 8.45.

You might be interested in
Find the measure of x, y, and z. Enter your answer as a number, rounded to the nearest tenth if needed.
weeeeeb [17]

Answer:

x = 6.

y = 6.7.

z = 13.4.

Step-by-step explanation:

The 2 triangles contained in the biggest one are similar, so:

x/12 = 3/x

x^2 = 36

x = 6.

Applying the Pythagoras theorem:

z^2 = 6^2 + 12^2

z^2 = 36 + 144 = 180

z = 13.4.

y^2 = x^2 + 3^2

= 36 + 9

= 45

y = 6.7

5 0
3 years ago
Dan buys a car for £700.
Alenkinab [10]
£733 because that’s is only yearly,so it won’t go up much with that rate
6 0
2 years ago
A G.P is such that the 3rd term minus a first term is 48. The 4th term minus 2nd term 144. Find: (i) Common ratio ii) The first
EleoNora [17]

Answer:

Step-by-step explanation:

r is the common ratio.

Third term minus first term is 48.

a₃ - a₁ = 48

a₃ = a₁r²

a₁r² - a₁ = 48

a₁(r²-1) = 48

r²-1 = 48/a₁

Fourth term minus second term is 144.

a₄ - a₂ = 144

a₂ = a₁r

a₄ = a₁r³

a₁r³ - a₁r = 144

a₁r(r²-1) = 144

r²-1 = 144/(a₁r)

48/a₁ = 144/(a₁r)

r = 3

:::::

r²-1 = 48/a₁

a₁ = 6

:::::

a₆ = a₁r⁵ = 1458

8 0
3 years ago
I hate math lolol yep
dmitriy555 [2]
The answer is B (domain is left to right, range down to up)
6 0
3 years ago
You can deliver 261
lapo4ka [179]

Answer:

261÷3=87

87×8=696

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • A line passes through (2, −1) and (4, 5).<br><br> Which answer is the equation of the line?
    5·1 answer
  • What is 3x + 6 &gt; 30?
    7·2 answers
  • Describe how to transform the quantity of the fifth root of x to the seventh power, to the third powerinto an expression with a
    5·1 answer
  • A committee is to be formed with a president, a vice president, and a treasurer. If there are 10 people to select from, how many
    13·1 answer
  • Mrs. Jones has a local bakery. Last week this expression shows how many peanut butter cupcakes she baked. 5 (2x -4) + 3(3 + 4x)
    7·1 answer
  • Given 4x − 8y = 8:
    14·1 answer
  • What is the solution for the system? Use the graph below
    9·1 answer
  • Diameter of a cone base is 5 cm and a slant height is 4M find surface area
    7·1 answer
  • <img src="https://tex.z-dn.net/?f=%28x%2B7%29%28x-2%29" id="TexFormula1" title="(x+7)(x-2)" alt="(x+7)(x-2)" align="absmiddle" c
    14·1 answer
  • Look at the picture pleaseeeee
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!