1. a. Calculate SS, 2, and σ for the following population of N = 5 scores: 1, 1, 5, 2, 6. ' b. Calculate SS, s² and s for the following sample of n = 5 scores: 1, 1, 5, 2, 6. 2. A sample of n = 7 scores has a sample mean of M = 40 and a sample standard deviation of s = 15. What is the value of [X? a. b. What is the value of SS? 3. a. b. 4. For the following population of N = 7 scores: 1, 3, 4, 5, 8, 8, 9 C. Calculate the range and the standard deviation. (Use either definition for the range.) Add 3 points to each score and compute the range and standard deviation again. Describe how adding a constant to each score influences measures of variability. A researcher has created a new measure to assess individual differences in risk taking propensity. She believes that the current measure that is used to measure risk taking propensity is not sensitive enough to detect differences among people. She has gathered data on a sample of 10 participants (n = 10), who have taken her new measure (New) and the old measure (Old). New Old 6 13 272522377 15 12 11 19 10 13 12 9 18 9 11 14 14 11 8 5. a. b. Compute means and standard deviations for the two measures. Does it appear that the researcher's new measure is better at detecting differences among people than the old measure? Explain your answer. On an exam with a mean of M = 70, you obtain a score of 75. a. b. Relative to other students, would your performance on the exam be better with a standard deviation of s = 2 or with a standard deviation of s = 10? (Hint: which standard deviation would lead your score to be more extreme?) If your score was 65, would you prefer s = 2 or s = 10? (Hint: which standard deviation would lead your score to be less extreme?)
1. a. Calculate SS, 2, and σ for the following population of N = 5 scores: 1, 1, 5, 2, 6. ' b. Calculate SS, s² and s for the following sample of n = 5 scores: 1, 1, 5, 2, 6. 2. A sample of n = 7 scores has a sample mean of M = 40 and a sample standard deviation of s = 15. What is the value of [X? a. b. What is the value of SS? 3. a. b. 4. For the following population of N = 7 scores: 1, 3, 4, 5, 8, 8, 9 C. Calculate the range and the standard deviation. (Use either definition for the range.) Add 3 points to each score and compute the range and standard deviation again. Describe how adding a constant to each score influences measures of variability. A researcher has created a new measure to assess individual differences in risk taking propensity. She believes that the current measure that is used to measure risk taking propensity is not sensitive enough to detect differences among people. She has gathered data on a sample of 10 participants (n = 10), who have taken her new measure (New) and the old measure (Old). New Old 6 13 272522377 15 12 11 19 10 13 12 9 18 9 11 14 14 11 8 5. a. b. Compute means and standard deviations for the two measures. Does it appear that the researcher's new measure is better at detecting differences among people than the old measure? Explain your answer. On an exam with a mean of M = 70, you obtain a score of 75. a. b. Relative to other students, would your performance on the exam be better with a standard deviation of s = 2 or with a standard deviation of s = 10? (Hint: which standard deviation would lead your score to be more extreme?) If your score was 65, would you prefer s = 2 or s = 10? (Hint: which standard deviation would lead your score to be less extreme?)
Ciccarelli: Psychology_5 (5th Edition)
5th Edition
ISBN:9780134477961
Author:Saundra K. Ciccarelli, J. Noland White
Publisher:Saundra K. Ciccarelli, J. Noland White
Chapter1: The Science Of Psychology
Section: Chapter Questions
Problem 1TY
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Transcribed Image Text:1.
a.
Calculate SS, 2, and σ for the following population of N = 5 scores: 1, 1, 5, 2, 6.
'
b.
Calculate SS, s² and s for the following sample of n = 5 scores: 1, 1, 5, 2, 6.
2.
A sample of n = 7 scores has a sample mean of M = 40 and a sample standard deviation of s = 15.
What is the value of [X?
a.
b.
What is the value of SS?
3.
a.
b.
4.
For the following population of N = 7 scores: 1, 3, 4, 5, 8, 8, 9
C.
Calculate the range and the standard deviation. (Use either definition for the range.)
Add 3 points to each score and compute the range and standard deviation again.
Describe how adding a constant to each score influences measures of variability.
A researcher has created a new measure to assess individual differences in risk taking
propensity. She believes that the current measure that is used to measure risk taking propensity
is not sensitive enough to detect differences among people. She has gathered data on a sample
of 10 participants (n = 10), who have taken her new measure (New) and the old measure (Old).
New
Old
6
13
272522377
15
12
11
19
10
13
12
9
18
9
11
14
14
11
8
5.
a.
b.
Compute means and standard deviations for the two measures.
Does it appear that the researcher's new measure is better at detecting differences
among people than the old measure? Explain your answer.
On an exam with a mean of M = 70, you obtain a score of 75.
a.
b.
Relative to other students, would your performance on the exam be better with a
standard deviation of s = 2 or with a standard deviation of s = 10? (Hint: which standard
deviation would lead your score to be more extreme?)
If your score was 65, would you prefer s = 2 or s = 10? (Hint: which standard deviation
would lead your score to be less extreme?)
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