12 0.58 0.71 0.42 054 (a) Is a sample correlation coefficient p = 0.84 significant at the a = 0.01 level based on a sample size of n = 6 data pairs? What about n = 13 data pairs? (Select all that аpply.) O Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 13 and a = 0.01. O Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 6 and a = 0.01. O No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 6 and a = 0.01. O Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 6 and a = 0.01. O Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 13 and a = 0.01. O No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 6 and a = 0.01. O No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 13 and a = 0.01. O No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 13 and a = 0.01. (b) Is a sample correlation coefficient p = 0.40 significant at the a = 0.05 level based on a sample size of n = 18 data pairs? What about n = 29 data pairs? (Select all that аpply.) O No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 18 and a = 0.05. O Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 29 and a = 0.05. O Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 18 and a = 0.05. O Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 29 and a = 0.05. O Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 18 and a = 0.05. O No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 18 and a = 0.05. O No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 29 and a = 0.05. O No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 29 and a = 0.05. (c) Is it true that in order to be significant, a p value must be larger than 0.90? larger than 0.70? larger than 0.50? What does sample size have to do with the significance of p? Explain your answer.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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0.05
.- 0.01
a 0,05
a- 001
a0.05
a0.01
1.00
1.00
13
0.53
0.68
23
0.41
053
4
0.95
0.99
14
0.53
0.66
24
0.40
0.52
0.88
096
15
051
064
25
0.40
051
0.39
0.38
0.81
0.92
16
0.50
061
26
0.50
0.75
0.87
17
0.48
0.61
27
0.49
0.71
18
0.47
0.59
28
0.37
0.48
0.67
0.80
19
0.46
0.58
29
0.37
0.47
10
0.63
0.76
20
044
0.56
30
0.36
0.46
11
0.60
0.73
21
0.43
0.55
12
0.58
0.71
22
0.42
0.54
(a) Is a sample correlation coefficient p = 0.84 significant at the a = 0.01 level based on a sample size of n = 6 data pairs? What about n = 13 data pairs? (Select all that
apply.)
O Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 13 and a = 0.01.
O Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 6 and a = 0.01.
O No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 6 and a = 0.01.
O Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 6 and a = 0.01.
O Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 13 and a = 0.01.
O No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 6 and a = 0.01.
O No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 13 and a = 0.01.
O No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 13 and a = 0.01.
(b) Is a sample correlation coefficient p = 0.40 significant at the a = 0.05 level based on a sample size of n = 18 data pairs? What about n = 29 data pairs? (Select all that
apply.)
O No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 18 and a = 0.05.
O Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 29 and a = 0.05.
O Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 18 and a = 0.05.
O Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 29 and a = 0.05.
O Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 18 and a = 0.05.
O No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 18 and a = 0.05.
O No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 29 and a = 0.05.
O No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 29 and a = 0.05.
(c) Isit true that in order to be significant, a p value must be larger than 0.90? larger than 0.70? larger than 0.50? What does sample size have to do with the significance
of p? Explain your answer.
O Yes, a larger correlation coefficient of 0.70 means that the data will be significant.
Yes, a larger correlation coefficient of 0.90 means that the data will be significant.
O No, a larger sample size means that a smaller absolute value of the correlation coefficient might be significant.
O Yes, a larger correlation coefficient of 0.50 means that the data will be significant.
O No, sample size has no bearing on whether or not the correlation coefficient might be significant.
Transcribed Image Text:0.05 .- 0.01 a 0,05 a- 001 a0.05 a0.01 1.00 1.00 13 0.53 0.68 23 0.41 053 4 0.95 0.99 14 0.53 0.66 24 0.40 0.52 0.88 096 15 051 064 25 0.40 051 0.39 0.38 0.81 0.92 16 0.50 061 26 0.50 0.75 0.87 17 0.48 0.61 27 0.49 0.71 18 0.47 0.59 28 0.37 0.48 0.67 0.80 19 0.46 0.58 29 0.37 0.47 10 0.63 0.76 20 044 0.56 30 0.36 0.46 11 0.60 0.73 21 0.43 0.55 12 0.58 0.71 22 0.42 0.54 (a) Is a sample correlation coefficient p = 0.84 significant at the a = 0.01 level based on a sample size of n = 6 data pairs? What about n = 13 data pairs? (Select all that apply.) O Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 13 and a = 0.01. O Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 6 and a = 0.01. O No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 6 and a = 0.01. O Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 6 and a = 0.01. O Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 13 and a = 0.01. O No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 6 and a = 0.01. O No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 13 and a = 0.01. O No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 13 and a = 0.01. (b) Is a sample correlation coefficient p = 0.40 significant at the a = 0.05 level based on a sample size of n = 18 data pairs? What about n = 29 data pairs? (Select all that apply.) O No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 18 and a = 0.05. O Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 29 and a = 0.05. O Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 18 and a = 0.05. O Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 29 and a = 0.05. O Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 18 and a = 0.05. O No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 18 and a = 0.05. O No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 29 and a = 0.05. O No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 29 and a = 0.05. (c) Isit true that in order to be significant, a p value must be larger than 0.90? larger than 0.70? larger than 0.50? What does sample size have to do with the significance of p? Explain your answer. O Yes, a larger correlation coefficient of 0.70 means that the data will be significant. Yes, a larger correlation coefficient of 0.90 means that the data will be significant. O No, a larger sample size means that a smaller absolute value of the correlation coefficient might be significant. O Yes, a larger correlation coefficient of 0.50 means that the data will be significant. O No, sample size has no bearing on whether or not the correlation coefficient might be significant.
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