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
Lostsunrise [7]
3 years ago
14

According to the U.S. Department of Education. Institute of Education Sciences, National Center for Education Statistics 1,026,0

00 high school seniors (rounded to the nearest thousand) took the ACT test as part of the college admissions process. The mean composite score was 21.1 with a standard deviation of 4.8. The ACT composite score ranges from 1 to 36, with higher scores indicating greater achievement in high school.
According to the central limit theorem, what are the mean and standard error of the distribution of sample means for a sample of 50 students?

a. 50 and 21.1

b. 21.1 and 4.8

c. 21.1 and 0.68

d. 21.1 and 0.10
Mathematics
1 answer:
Andreyy893 years ago
7 0

Answer:

The correct option is C) 21.1 and 0.68  

Step-by-step explanation:

Consider the provided information.

The mean composite score was 21.1 with a standard deviation of 4.8. The ACT composite score ranges from 1 to 36, with higher scores indicating greater achievement in high school.

Therefore μ = 21.1 and σ = 4.8

It is given that the sample of 50 students;

Thus, sample size ( n ) = 50

According to the central limit theorem,

\mu_{\bar x}=\mu\ and \ \sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}

Therefore

\mu_{\bar x}=21.1

\sigma_{\bar x}=\frac{4.8}{\sqrt{50}}

\sigma_{\bar x}=0.68

Hence, the correct option is C) 21.1 and 0.68

You might be interested in
Express x^2+4x-7 in the form (x+a)^2-b where a and b are integers
lukranit [14]

Answer:

(x + 2)^2 - 11.

Step-by-step explanation:

f(x) = x^2 + 4x - 7

Now x^2 + 4x = (x + 2)^2 - 4 so we have:

f(x) = (x + 2)^2 - 4 - 7

f(x) = (x + 2)^2 - 11.

4 0
2 years ago
Help will mark brainliest
nlexa [21]

Answer:

d

Step-by-step explanation:

8 0
3 years ago
PLZZZZZ HELP ME ANYONE PLEASE HELP ME :(! Marcus has a box that is 4 1/2 feet long, 1/2 foot wide, and 2 feet high. What is the
Keith_Richards [23]

Answer:

4.5

Step-by-step explanation:

4 0
2 years ago
Which is most likely the equation of the graph above?<br> Oy-5<br> O y=x+5<br> Ox=5<br> O y = 5x
Svetradugi [14.3K]

Answer:

the answer is Y=5

hope this helps☺

7 0
2 years ago
Determine the amplitude, period, and phase shift of the function f(x)=cos (8(x-1))+2​
SCORPION-xisa [38]

We have been given a function f(x)=\text{cos}(8(x-1))+2. We are asked to find the amplitude, period and phase shift of the function

We can see that our given function is in form f(x)=A\cdot \cos(B(x-C))+D, where,

|A| = Amplitude.

Period = \frac{2\pi}{|B|}

C = Horizontal shift,

D = Vertical shift.

We can see that value of a is 1, therefore, the amplitude of given function would be 1.

We can see that B is equal to 8, so we will get:

\text{Period}=\frac{2\pi}{|B|}= \frac{2\pi}{|8|}=\frac{\pi}{4}

Therefore, the period of given function is \frac{\pi}{4}.

Since the value of C is 1, therefore, horizontal shift is 1.

Since the value of D is 2, therefore, vertical shift would be 2.

4 0
2 years ago
Other questions:
  • One nautical mile per hour is equivalent to one knot. true or false
    6·2 answers
  • Plz help anwser these questions
    12·2 answers
  • In rectangle ABCD, if the coordinates of A are (0, 0) and of C are (r, s), find the coordinates of B and D.
    9·2 answers
  • the central angle of a sector is 60 degrees and the area of the circle is 144 pi. What is the area of the sector
    12·1 answer
  • In the figure which point has coordinate
    8·1 answer
  • the left and right page numbers of an open book are two integers whose sum is 557. find these page numbers
    12·1 answer
  • What does the cross product between two vectors represent, and what are some of its properties
    13·1 answer
  • It has been reported that 48% of teenagers play video games on their phones. A random sample of 60 teenages is drawn. Find the p
    7·1 answer
  • Jude types 876 characters in 6 minutes. What is her typing rate in characters per minute?
    5·1 answer
  • Convert this rational number to its decimal form and round to the nearest thousandth. 3/4​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!