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
Lynna [10]
3 years ago
8

Consider a value to be significantly low if its z score less than or equal to minus−2 or consider a value to be significantly hi

gh if its z score is greater than or equal to 2.
A test is used to assess readiness for college. In a recent​year, the mean test score was 20.8 an the standard deviation was 5.3. Identify the test scores that are significantly low or significantly high.

What test scores are significantly​ low? Select the correct answer below and fill in the answer​ box(es) to complete your choice.
Mathematics
1 answer:
katrin2010 [14]3 years ago
3 0

Answer:

Test scores of 10.2 or lower are significantly low.

Test scores of 31.4 or higher are significantly high.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

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.

In this problem, we have that:

\mu = 20.8, \sigma = 5.3

Identify the test scores that are significantly low or significantly high.

Significantly low

Z = -2 and lower.

So the significantly low scores are thoses values that are lower or equal than X when Z = -2. So

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

-2 = \frac{X - 20.8}{5.3}

X - 20.8 = -2*5.3

X = 10.2

Test scores of 10.2 or lower are significantly low.

Significantly high

Z = 2 and higher.

So the significantly high scores are thoses values that are higherr or equal than X when Z = 2. So

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

2 = \frac{X - 20.8}{5.3}

X - 20.8 = 2*5.3

X = 31.4

Test scores of 31.4 or higher are significantly high.

You might be interested in
Is (3,7) A solution why or why not?
galben [10]
What? Can you attach a photo?
6 0
2 years ago
Read 2 more answers
What 2 numbers that are the same multiply to be 36 and add up to be 15?
marysya [2.9K]
The only way to have two numbers that are the same and add up to be 15
is if they're both 7.5 , but those don't multiply to be 36.  So I guess there's
no answer that satisfies all the conditions of this question.
8 0
3 years ago
Find negative square root of 16. (4 points) a −4 b 4 c ±4 d −8
Tom [10]

Step-by-step explanation:

Find negative square root of 16. (4 points) a −4 b 4 c ±4 d −8

3 0
3 years ago
When a transversal is perpendicular to two parallel lines, all the angles formed measure 90°. Explain why.
kotykmax [81]
When two parallel lines are cut by a transversal, due to the natures of the different relationships among the angles, all of them will be either equal to the measure of the first angle or equal to that angle subtracted from 180.  If the transversal is perpendicular to the parallel lines, forms a right angle, then both the angle given and the angle subtracted from 180 will be 90.  This means all of the angles will be 90.
5 0
4 years ago
A rectangle has a perimeter of 30 ft. Find a function that models its area A in terms of the length x of one of its sides. What
Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)

Given P = 30ft, on substituting P = 30 into the expression;

30 = 2(x+y)

x+y = 15

y = 15-x

Also since the area of the rectangle is xy;

A = xy

Substitute y = 15-x into the area;

A = x(15-x)

A = 15x-x²

The function that models its area A in terms of the length x of one of its sides is A = 15x-x²

The side of length x yields the greatest area when dA/dx = 0

dA/dx = 15-2x

15-2x = 0

-2x = -15

x = -15/-2

x = 7.5 ft

Hence the side length, x that yields the greatest area is 7.5ft.

Since y = 15-x

y = 15-7.5

y = 7.5

Area of the rectangle = 7.5*7.5

Area of the rectangle = 56.25ft²

6 0
3 years ago
Other questions:
  • Angle WDY= 2x-5, angle XDY=52, and angle WDY= 5x-16 what is angle WDY
    13·1 answer
  • I William page $54 for three cases of gum if each case of case has 24 packs what is the cost per pack of gum
    15·1 answer
  • How can technology be used to create constructions in gemoetry
    8·1 answer
  • How do you solve for the segment area in a circle?
    11·1 answer
  • A 150-N bird feeder is supported by three cables. Find the tension in each cable.
    11·2 answers
  • Suppose there was a cancer diagnostic test was 95% accurate both on those that do and those do not have the disease. If 0.4% of
    6·1 answer
  • The shape below is a horizontal cross section of a figure. Select all the possible figures that could have this shape as a cross
    13·1 answer
  • PLEASE HP ME I WILL GIVE BRAINLIST!!!!!!!!!!!!!!!!
    11·2 answers
  • the following two pentagons are similar. find the missing side length represented by x. please help quickly!
    7·1 answer
  • Katie buys several pairs of socks for $3 per pair.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!