Module 2: Practical Assignment Psychology Coursework
Module 2: Practical Assignment
- Four friends take an IQ test. Their scores are 96, 99, 113, 136. Which of the following statements is true? (1 pt)
- The mean is 111.
- The mean is 106.
- The median is 111.
- The median is 106.
a) I only
b) II only
c) Both I and IV
d) Both II and III
e) None is true
- Which of the following statements are true? (1 pt)
- All variables can be classified as quantitative or categorical variables.
- Quantitative variables can be discrete variables.
- Categorical variables can be continuous variables.
a) I only
b) II only
c) III only
d) I and II
e) I and III
- The state police, using radar, checked the speeds (in mph) of 30 passing motorists at a checkpoint. The results are listed below: (2.5 pts)
43 38 42 50 26 36 43 42 41 47
35 40 37 34 43 29 45 45 39 28
52 41 67 36 35 40 33 52 48 32
Calculate the following descriptive statistics for the set of data above (#3):
a) Mean
b) Median
c) Mode
d) Range
e) Standard Deviation (SD; round to two decimal places)
- Every year, 50,000 runners compete in the Peachtree Road Race. They run 10 kilometers (a little over 6 miles). The average finishing time is 52 minutes, with a standard deviation of 9 minutes. Fred and Wilma completed the race in 61 and 48 minutes, respectively. Barney and Betty had finishing times with z-scores of -0.3 and 0.7, respectively. (1 pt)
List the runners in order, starting with the fastest runner and ending with the slowest runner.
a) Wilma, Betty, Fred, Barney
b) Barney, Wilma, Fred, Betty
c) Wilma, Barney, Betty, Fred
d) Barney, Fred, Betty, Wilma
e) None of the above
- Each year, a national achievement test is administered to 4th graders. The test has a mean score of 100 and a standard deviation of 15. If Jane's z-score is -0.6, what was her score on the test? (1 pt)
a) 60
b) 77.5
c) 86.5
d) 91
e) 109
- Molly earned a score of 920 on a national achievement test. The mean test score was 825 with a standard deviation of 100. What proportion of students had a higher score than Molly? (Assume that test scores are normally distributed.) (1 pt)
a) 0.08
b) 0.17
c) 0.23
d) 0.64
e) 0.90
- IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. An individual’s IQ score is found to be 121. What is the z-score corresponding to this value? Round to two decimal places. (1 pt)
- Jake needs to score in the top 10% in order to earn a physical fitness certificate. The class mean is 82 and the standard deviation is 3.5. What raw score does he need to get that valuable piece of paper? (1 pt)
- For the following set of scores, fill in the cells (with the letters). The mean is 73 and the standard deviation is 8. (4.5 pts)
Raw Score |
z Score |
70.0 |
e. |
a. |
1.7 |
83.0 |
f. |
b. |
1.8 |
62.0 |
g. |
c. |
-0.5 |
81.0 |
h. |
d. |
-1.6 |
72.0 |
i. |
- The following questions are based on a distribution of scores with M = 84 and the SD = 4.25. (Sometimes drawing a picture will help see what’s required.) (4 pts)
a) What is the probability of a score falling between a raw score of 76 and 82?
b) What is the probability of a score falling above a raw score of 80?
c) What is the probability of a score falling between a raw score of 86 and 88?
d) What is the probability of a score falling below a raw score of 79?
- Who is the better student, relative to his or her classmates? Here’s all the information you ever wanted to know…(4 pts)
Math |
|||
Class Mean |
82.0 |
|
|
Class Standard Deviation |
2.0 |
||
Reading |
|||
Class Mean |
87.0 |
|
|
Class Standard Deviation |
8.0 |
||
Raw Scores |
|||
|
Math Score |
Reading Score |
Average |
Noah |
81 |
92 |
86.5 |
Talya |
90 |
82 |
86 |
z Scores |
|||
|
Math Score |
Reading Score |
Average |
Noah |
a. |
b. |
c. |
Talya |
d. |
e. |
f. |
g. Who is the better student, relative to his or her classmates? Why?
1 Four friends take an IQ test. Their scores are 96, 99, 113, 136. Which of the following statements is true? (1 pt)
* The mean is 111.
* The mean is 106.
* The median is 111.
* The median is 106.
* I only
* II only
* Both I and IV
* Both II and III
* None is true
Mean:
111
Median:
106
Sum:
444
Mean Score=Σ/n= (96+ 99+113+ 136)/ 4=44/4=111
Median= 999+113)/2=106
2 Which of the following statements are true? (1 pt)
* All variables can be classified as quantitative or categorical variables.
* Quantitative variables can be discrete variables.
* Categorical variables can be continuous variables.
* I only
* II only
* III only
* I and II
* I and III
3 The state police, using radar, checked the speeds (in mph) of 30 passing motorists at a checkpoint. The results are listed below: (2.5 pts)
4338 4250 263643 42 4147
35 40 3734 4329 45 45 39 28
52 41 6736 35 40 3352 48 32
Calculate the following descriptive statistics for the set of data above (#3):
* Mean=40.63
* Median =40.5
* Mode=43
* Range=41
* Standard Deviation (SD; round to two decimal places)=8.33
43,38,42,50,26,36,43,42,41,47,35,40,37,34,43,29,45,45,39,28,52,41,67,36,35,40,33,52,48,32
Mean: (1219/30)
40.63
Median:
40.5
Mode:
43, appeared 3 times
Range: (67-26)
41
Sum:
1219
Sample Standard Deviation, s
8.33
Variance (Sample Standard), s2
69.34
4 Every year, 50,000 runners compete in the Peachtree Road Race. They run 10 kilometers (a little over 6 miles). The average finishing time is 52 minutes, with a standard deviation of 9 minutes. Fred and Wilma completed the race in 61 and 48 minutes, respectively. Barney and Betty had finishing times with z-scores of -0.3 and 0.7, respectively. (1 pt)
List the runners in order, starting with the fastest runner and ending with the slowest runner.
* Wilma, Betty, Fred, Barney
* Barney, Wilma, Fred, Betty
* Wilma, Barney, Betty, Fred
* Barney, Fred, Betty, Wilma
* None of the above
z=x- µ/s.d
Barney-0.3=(x-52)/949.3 min
Betty0.7=(x-52)/958.3 min
5 Each year, a national achievement test is administered to 4thgraders. The test has a mean score of 100 and a standard deviation of 15. If Jane's z-score is -0.6, what was her score on the test? (1 pt)
* 60
* 77.5
* 86.5
* 91
* 109
z=x- µ/s.d
-0.6=x-100/15-9=(x-100), and x=91
6 Molly earned a score of 920 on a national achievement test. The mean test score was 825 with a standard deviation of 100. What prop...
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