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
spin [16.1K]
3 years ago
11

two high school students took equivalent language tests, one in German and one in French. The student taking the German test, fo

r which the mean was 66 and the standard deviation was 8, scired ab 82, while the student taking the French test, for which the mean was 27 and the standard deviation was 5, scored a 35. Compare the scores.
Mathematics
1 answer:
dedylja [7]3 years ago
5 0

Answer:

The student who did the German test scored 2 standard deviations above the mean and the student who did the French test scored 1.6 standard deviations above the mean. Relative to their classmates, the student who did the German test scored better due to the higher z-score.

Step-by-step explanation:

Z-score

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

German test

Mean was 66 and the standard deviation was 8, scored an 82.

So

Z = \frac{X - \mu}{\sigma}

Z = \frac{82 - 66}{8}

Z = 2

French test:

Mean was 27 and the standard deviation was 5, scored a 35.

So

Z = \frac{X - \mu}{\sigma}

Z = \frac{35 - 27}{5}

Z = 1.6

The student who did the German test scored 2 standard deviations above the mean and the student who did the French test scored 1.6 standard deviations above the mean. Relative to their classmates, the student who did the German test scored better due to the higher z-score.

You might be interested in
Which step should be used to prove that point A is equidistant from points C and B
stira [4]
You have to prove that point A is the midpoint of the line segment CB and that will rove that it is equidistant from points c and b
5 0
3 years ago
Find the value of x in the triangle shown below.
Darya [45]
X = 42 (i’m not sure your giving enough information)
6 0
3 years ago
PLS HELP!!!!!!!!!!!!!!!!!!!
Basile [38]

Answer:

y=-x :)))) hope this helps!

5 0
3 years ago
Read 2 more answers
Area and circumference. Please help
I am Lyosha [343]

Answer:

Step-by-step explanation:

area = pi x 4sq. = 50.3

circumfrence 2 x pi x 4 = 25,1

4 0
2 years ago
HELP HELP HELP PLEASE!!!!!!!!!!
Mrac [35]

9514 1404 393

Answer:

  (a)  vertical compression by a factor of 1/3

Step-by-step explanation:

We can see that g(x) = 1/3f(x). Multiplying a function by a constant scales the graph vertically by that factor. When the magnitude of the factor is more than 1, we say the graph is "stretched." When it is less than 1, we say the graph is "compressed" by that factor.

Here, the scale factor is 1/3, so the graph is "vertically compressed by a factor of 1/3."

_____

<em>Additional comment</em>

My <em>personal</em> preference is for compression to be described by the factor the graph is divided by. I would call g(x) a compression of f(x) by a factor of 3. Modern curriculum authors disagree, calling it compression by a factor of 1/3.

Be careful. Using the currently accepted language, a <em>stretch</em> is always by a number <em>larger than 1</em>, and a <em>compression</em> is always by a number <em>less than 1</em>. This rules out choices C and D simply on the basis of the language used.

__

For many graphs, vertical scaling and horizontal scaling can be interchanged. We note that g(x) is wider than f(x), so could be stretched horizontally by some factor. That factor would be √3. The equation using a horizontal stretch factor would be g(x) = (x/√3)^2. Replacing x by x/k is a stretch by a factor of k in the horizontal direction.

4 0
3 years ago
Other questions:
  • If (x^2 – 4) ÷ (x + 2) = x – 2, which polynomial should fill in the blank below?
    15·2 answers
  • What is the relation ship the 6's in 6,600
    9·1 answer
  • Public relations is part of business and administrative support true or false
    7·1 answer
  • The least common multiple of two numbers is 40. The difference of the two numbers is 2.
    8·1 answer
  • I dont get this ............
    10·1 answer
  • What is the common ratio of 5,10,20,40...
    8·2 answers
  • A plumber charges $17 to visit a client's home, plus an additional $36 per hour. What is the
    15·2 answers
  • Simplify the following expression.( Fraction form)<br><br> 7-5/6 * 7-7/6
    12·1 answer
  • What is the volume of the cone below:<br> 5 cm<br> 12 cm<br> 13 cm
    8·1 answer
  • Joe would like to know the height of the new building. His distance from the building is 10 meters and joes own eye height is 1.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!