In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide standardized test for the students in his class. Instead of looking at the scores relative to the norms in the state, the teacher wants to understand the scores relative to the students who will be in the class. To do so, he decides to convert the test scores into z scores relative to the mean and standard deviation of the students in the class. The mean test score in his upcoming class is 49, and the standard deviation is 20.7.

The following are the scores for some (not all) of her students.

Student Test Score Z- score
A 205 0.08
B 199 ______
C 266 1.68
D 222 ______
E 188 -0.37
F 172 ______
G 184 -0.47
H 215 ______

The teacher wants to identify those students who may need extra challenge or extra help. As a first cut, she decides to look at students who have z-scores above z = 2.00 or below z = -2.00. Identify the test score corresponding to each of the following z-scores.
For z = 2.00, test score = ____________
For z - -2.00, test score = ____________

Answer:

The answer is below

Step-by-step explanation:

In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide standardized test for the students in her class. Instead of looking at the scores relative to the norms in the state, the teacher wants to understand the scores relative to the students who will be in the class. To do so, she decides to convert the test scores into z-scores relative to the mean and standard deviation of the students in the class. The mean test score in her upcoming class is 202, and the standard deviation is 38.2. The following are the scores for some (not all) of her students. Complete the table using the dropdown menus. The teacher wants to identify those students who may need extra challenge or extra help. As a first cut, she decides to look at students who have z-scores above z = 2.00 or below z = -2.00. Identify the test score corresponding to each of the following z-scores. Round to the nearest whole number. For z = 2.00, test score = .For z - -2.00, test score = .

Solution:

The z score is a used in statistics to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation\\\\For\ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]

Given that μ = 202, σ = 38.2

i) for student B, x = 199. Hence:

[tex]z=\frac{x-\mu}{\sigma} =\frac{199-202}{38.2}=-0.08\\[/tex]

ii) for student D, x = 222. Hence:

[tex]z=\frac{x-\mu}{\sigma} =\frac{222-202}{38.2}=-0.52\\[/tex]

iii) for student F, x = 172. Hence:

[tex]z=\frac{x-\mu}{\sigma} =\frac{172-202}{38.2}=-0.79\\[/tex]

iv) for student H, x = 215. Hence:

[tex]z=\frac{x-\mu}{\sigma} =\frac{215-202}{38.2}=0.34\\[/tex]

For z = 2.00, the test score x is:

[tex]z=\frac{x-\mu}{\sigma}\\\\ 2=\frac{x-202}{38.2}\\\\76.4=x-202\\\\x=278.4[/tex]

For z = -2.00, the test score x is:

[tex]z=\frac{x-\mu}{\sigma}\\\\ -2=\frac{x-202}{38.2}\\\\-76.4=x-202\\\\x=125.6[/tex]

Please help, I will give brainliest, I am struggling badly.

Find x in the right triangle (I don’t even know if it’s a right triangle I just need this too be 20* characters)

What is the equivalent property of 6(2x - 1)

What's is 20% of 62?

Helpppp

Which of the following best describes the graph of the line represented by the table below?​

Proportional Relationships & Percentages:Question 1
A study showed that the population of fish in a pond
increased from 310 to 403. What is the percent of the
increase?
Select one:

Any Netflix suggestions to watch?​

Help plsssssssssssssssssssssss thanks so much

Determine whether the two expressions are equivalent. If so, tell
what property is applied. If not, explain why.
5 x ( 6 x 3 ) and ( 5 x 6 ) x 3

Find the midpoint of the line segment with these endpoints: (-3,-8), (9,3)

Help me i will give best answer to correct answer.

Find CD? Plssss help

An automobile manufacturing plant produced vehicles today: were sedans, were trucks, and were motorcycles. Plant managers are going to select two of these vehicles for a thorough inspection. The first vehicle will be selected at random, and then the second vehicle will be selected at random from the remaining vehicles. What is the probability that the first vehicle selected is a sedan and the second vehicle is a truck?

I’m looking for number 3 on the picture attached

I NEED THE CORRECT ANSWER TO THIS ASAP FOR A TEST!!!!! What is the solution to the inequality?

-8m >48
_

A) m > 26
_
B) m > -6
_
C) m < -6
_
D) m < 6
_

Mr Smith has $109 to spend in parking and admission to the zoo. the parking is $7 and admission is $15.50 per person including tax. write and solve equation to determine the number of people he can bring to the zoo​

What is 34 ÷ 18 ? Explain your reasoning.

f (x) = 3x2 - 24x + 15

Select three ratios that are equivalent to
8
:
20
8:208, colon, 20.
Choose 3 answers:
Choose 3 answers:

(Choice A)
A
1
:
4
1:41, colon, 4

(Choice B)
B
4
:
10
4:104, colon, 10

(Choice C)
C
24
:
60
24:6024, colon, 60

(Choice D)
D
2
:
5
2:52, colon, 5

(Choice E)
E
10
:
24
10:24

relay race is 1 4 mile long and is run by 4-member teams. If each team member runs the same distance, what fraction of a mile does each team member run? Explain how you found your answer.

Find the distance between 12 and -6. HELP.???

Describe what probability is and how it is used in the real world. Explain how to calculate probability of an event. Explain the difference in something being unlikely, likely, certain, and equally likely to happen. Write 3-5 Sentences

Which is more, 3 miles or 5,278 yards?

PLEASEEE HURRY

What is the rate of change?
Equation that describes function?
Linear or non linear?

2) 3+ p= 8



I need help pls I don’t get it

60 ft/s= how many km/h
Show work please

One yard is 36 inches. how many inches is 2/3 of a yard?

Let f(x) = x2 and g(x) = x -4. Find (fog)(-1).

what is 23 450 + 52 704 to the nearest 100?​

Can someone help please?