An Illinois state program evaluator is tasked with studying the intelligence of soon graduating high school students in a number of Chicago-area high schools.
One of the specific questions that needs to be answered is, “How do the students of Collins High School, one of Chicago’s lowest-rated high schools in terms of academic achievement, fare compared to students of Lincoln Park High School, one of Chicago’s highest-rated high schools in terms of academic achievement?”.
To conduct this study, the program evaluator administers the Wechsler Adult Intelligence Scale, 4th Edition (WAIS-IV) to one 12th grade class from each high school in the Chicago area (if you are interested in learning more about the WAIS-IV, click here).
The following table shows the WAIS-IV scores for student from Collins HS and Lincoln Park HS (note: data were fabricated for purposes of this exercise):
Collins HS |
Lincoln Park HS |
||
Student |
WAIS-IV Score |
Student |
WAIS-IV Score |
1 |
105 |
1 |
93 |
2 |
81 |
2 |
90 |
3 |
102 |
3 |
87 |
4 |
90 |
4 |
109 |
5 |
95 |
5 |
106 |
6 |
110 |
6 |
104 |
7 |
90 |
7 |
109 |
8 |
100 |
8 |
104 |
9 |
80 |
9 |
115 |
10 |
90 |
10 |
112 |
11 |
84 |
11 |
112 |
12 |
81 |
12 |
100 |
13 |
90 |
13 |
97 |
14 |
107 |
14 |
90 |
15 |
101 |
15 |
104 |
16 |
90 |
16 |
107 |
17 |
101 |
Also, here is the frequency table showing the frequency of grouped WAIS-IV scores for each HS:
WAIS-IV Score |
Collins HS ( f ) |
Lincoln Park HS ( f ) |
80-89 |
4 |
1 |
90-99 |
6 |
4 |
100-109 |
5 |
9 |
110-119 |
1 |
3 |
And the correct answers to the table of important computations:
MEASURE |
Collins HS ( f ) |
Lincoln Park HS ( f ) |
Mean |
93.50 |
102.35 |
Median |
90 |
104 |
Mode |
90 |
104 |
N |
16 |
17 |
N-1 |
15 |
16 |
ΣX |
1496 |
1740 |
(ΣX)2 |
141282 |
179236 |
ΣX2 |
2238016 |
3027600 |
S2X |
87.88 |
67.17 |
SX |
9.37 |
8.20 |
s2X |
93.73 |
71.37 |
sX |
9.68 |
8.45 |
Use the above information to answer the following questions (round to two decimal places where necessary):
1. Who has the higher raw WAIS-IV score: a 12th grade student at Collins HS with a z-score of +0.35, or a 12th grade student at Lincoln Park HS with a z-score of -0.50? Why?
2. For Collins HS, what proportion of the distribution falls between the raw scores of 90 and 107 (give me all four decimal points)?
3. What is the lowest raw score needed in order to be in the top 10% (90th percentile) at each high school (round to two decimals)?
4. What percent of the total number of Collins HS students fall within the range of z-score = -1.00 and z-score = +1.00? Is this percent what should be expected? If not, can you think of any explanations for why the percent of the total number of Collins HS students that fall within z-score = -1.00 and z-score = +1.00 does not equal what should be expected?
An Illinois state program evaluator is tasked with studying the intelligence of soon graduating high school...
The answers are marked but I need them explained. A new program designed to improve high school student reading comprehension has been launched in a major school district. Students can choose how many hours they spend participating in the program, as an alternative to some other elective courses. A researcher is interested in a possible linear relationship between the number of hours a student spends taking part in the program (X) and standardized reading test scores (Y). 100 students were...
Find Bugs in the pseudocode// A high school is holding a recycling competition// This program allows a user to enter a student's // year in school (1 through 4)// and number of cans collected// Data is entered continuously until the user wnats to quit// After headings, output is four lines// one for each school year classstart Declarations num year num cans num SIZE = 4 num QUIT = 9 ...
I've lost count how many times I posted this question, at least 4 or 5. Can someone please help me out 1. In her paper on measuring the returns to high school sports, Betsey Stevenson investigates the causal implications of expansion in female sports participation caused by Title IX. Compliance with Title IX can be characterized as requiring a school to raise its female athletic participation rate to near equality with its male athletic participation rate. The paper is here:...
5-8 show work 5. 6. At a local high school 5000 juniors and seniors recently took an aptitude test. The results of the exam were normally distributed with mean - 450 and o = 50. Calculate the following: a. The PERCENT of students to the nearest tenth of a percent that scored over 425 b. The number of students that scored more than 475 c. The probability of a student selected at random having scored between 400 and 575 A...