1 answer

3. A high school with 1200 students is placing students with an IQ score of 130...

Question:

3. A high school with 1200 students is placing students with an IQ score of 130 and above in an accelerated class. A standardized IQ test has a mean of 100 and a standard deviation of 15. Assuming a normal population, approximately how many students will be assigned to the accelerated class? 4. A reading test has a mean of 30 and a standard deviation of 5. A math test has a mcan of 50 and a standard deviation of 8. Johnny scored 37 on the reading test and 56 on the math test. Did he perform better in math or reading, relative to his classmates?
3. A high school with 1200 students is placing students with an IQ score of 130 and above in an accelerated class. A standardized IQ test has a mean of 100 and a standard deviation of 15. Assuming a normal population, approximately how many students will be assigned to the accelerated class? 4. A reading test has a mean of 30 and a standard deviation of 5. A math test has a mcan of 50 and a standard deviation of 8. Johnny scored 37 on the reading test and 56 on the math test. Did he perform better in math or reading, relative to his classmates?

Answers

3. Let X = IQ score.

Therefore from the given information

X ~ N (mu = 100, 15 )

Here first we need to find P( X > 130) = 1 - P(X < 130) ....( 1 )

for x = 130, the corresponding Z score is as follows:

Z = rac{X - mu }{sigma }=rac{130 - 100}{15} = 2

therefore P(Z < 2 ) = 0.9772

Plug this value in equation ( 1 ) , we get:

P( X > 130) = 1 - 0.9772 = 0.0228

Here n = 1200

Therefore, required answer is 1200*0.0228 = 27.36 = 27 (approximately).

4) Here X1 ~ N (mu = 30, sigma = 5 )

and X2 ~ N (mu = 50, sigma = 8)

Where X1 = reading test score

and X2 = math test score.

For comparison we need to find z score for each test scores.

for x1 = 37

Х1-30 37-30 -7/51.4

for x2 = 56

r2-30 56- 50 6/80.75

Since z1 > z2 , therefore, Johnny is better in reading than the math.

.

Similar Solved Questions

1 answer
Question 2. Consider the approximation of the definite integral () (a) Begin by using 2 points/nodes...
Question 2. Consider the approximation of the definite integral () (a) Begin by using 2 points/nodes (i.e., n + 1 = 2, with the two points being x = a and r = b). Replace f(x) by the constant /(a+b)/2] on the entire interval a <<b. Show that this leads to the numerical integration formula M,()...
1 answer
Resonance help??? Draw 3 most reasonable resonance Shuclores 2) Circle most important structure 3) Draw the...
resonance help??? Draw 3 most reasonable resonance Shuclores 2) Circle most important structure 3) Draw the reichance hybrid...
1 answer
On September 30, Franz Corporation notices a decline in value of its investment in held-to-maturity bonds...
On September 30, Franz Corporation notices a decline in value of its investment in held-to-maturity bonds that it believes to be other than temporary. On that date, the carrying value of the bonds is $38,500 and the fair value is $22,980, Required: Prepare the journal entry to record the impairment....
1 answer
What is the mass in grams of each elemental sample? Part A 6.66 mol W Part...
What is the mass in grams of each elemental sample? Part A 6.66 mol W Part B 0.589 mol Ba Part C 68.7 mol Xe Part D 1.54 molmol S...
1 answer
Compute the NPV statistic for Project Y if the appropriate cost of capital is 13 percent....
Compute the NPV statistic for Project Y if the appropriate cost of capital is 13 percent. (Negative amount should be indicated by a minus sign. Do not round intermediate calculations and round your final answer to 2 decimal places.) Project Y Time: Cash flow: 1 2 3 -$9,100 $3,570 $4,400 $1,740 4 $52...
1 answer
Find the probability for -1.43 a 0.0516 b 0.9750 c 0.5675 d 0.1050
Find the probability for -1.43 a 0.0516 b 0.9750 c 0.5675 d 0.1050...
1 answer
My assignment is to find quotes from thimas jefferson's query 14 and label them according to fallacies and i just dont get it
my assignment is to find quotes from thimas jefferson's query 14 and label them according to fallacies and i just dont get it. some quotes include"Comparing them by their faculties of memory, reason, and imagination, it appears to me, that in memory they are equal to the whites; in reason mu...
1 answer
IlI You work in a food fermentation factory, and you have been given three different bacteria...
IlI You work in a food fermentation factory, and you have been given three different bacteria strains (their metabolic chart is available below).Your task is to ferment milk and produce yogurt. Answer the following questions. Strain 1 Strain 2 Strain 3 Col NAC Ethanal PLACTARE 1. What is the ferment...
1 answer
(a) Show that L = { a^n b^2m a^n : n, m >= 0 } is...
(a) Show that L = { a^n b^2m a^n : n, m >= 0 } is a CFL by drawing a nondeterministic PDA M that accepts L. Show a formal computation (i.e., sequence of instantaneous descriptions) of your machine M for each of the following five strings w: aa, ab^2a, a^2 b^4 a^2, abbab. (b) For each of the above...
1 answer
How do you find the exact value of the six trigonometric functions of the angle whose terminal side passes through #(2/3, 5/2)#?
How do you find the exact value of the six trigonometric functions of the angle whose terminal side passes through #(2/3, 5/2)#?...
1 answer
Can someone help me solve 1 and 2? SE Homework 3 - Excel Sign in -...
Can someone help me solve 1 and 2? SE Homework 3 - Excel Sign in - o X Share File Home Insert Page Layout Formulas Data Review View Help Tell me what you want to do Calibri On General General B D - X AutoSum" A - 11 D- O AA === A ESS ab Wrap Text Merge & Center - Cut LE Copy Format Painter C...
1 answer
How do you solve 2x+y=5 and x-y=1?
How do you solve 2x+y=5 and x-y=1?...
1 answer
This question contains multiple parts. Make sure to read all the instructions and answer each part...
This question contains multiple parts. Make sure to read all the instructions and answer each part Part a Why is it that a column in front of the stage in a concert hall prevents you from seeing the lead violinist, but you are still able to hear the sound waves emitted by the violin? Select the corr...
1 answer
A. (10 pts) Describe how the multiplier process works. b. (10 pts) Use a chart to...
a. (10 pts) Describe how the multiplier process works. b. (10 pts) Use a chart to show how 10 rounds of expenditure will increase real GDP. In particular, show the increase in the current round, and the cumulative increase from previous rounds....
1 answer
What is the difference between abilities and skills provide examples of each and how do these...
What is the difference between abilities and skills provide examples of each and how do these examples relate to job performance?...
1 answer
Gas transfer systems in complex animals rely on the two processes of diffusion and bulk flow...
Gas transfer systems in complex animals rely on the two processes of diffusion and bulk flow to move O2 from the environment into the mitochondria of cells. Define and contrast these two transport mechanisms and describe at which points in the process of gas transfer (from the environment to the mit...
1 answer
Please answer 8. Quaternary structure: The image below is of a polypeptide in quaternary (4°) structure...
please answer 8. Quaternary structure: The image below is of a polypeptide in quaternary (4°) structure level of protein folding. The image to the left is of hemoglobin. It is composed of four separate polypeptide chains indicated by the color differences. The image on the right indicates th...
1 answer
4. Complete the following: a. 26 Fe +→žn+ 51 b. __+y +n + Be
4. Complete the following: a. 26 Fe +→žn+ 51 b. __+y +n + Be...