“A researcher wants to examine the effects of siblings on the amount of annual salary people earned when they are 35 years old. Salary data of three groups of 35-year olds were collected and are presented here. 4 participants with no sibling while growing up (n1 = 4): 50K, 51K, 49K, 50K. 5 participants with 1 to 2 siblings while growing up (n2 = 5): 55K, 56K, 54K, 58K, 52K. 4 participants with 3 and more siblings while growing up (n3 = 4): 60K, 60K, 70K, 50K. The researcher calculated: ∑x2 = 39747, G2/N = 39325, ∑T2/n = 39525.” Do the data indicate significant differences among the three groups of 35-year olds? Test at the alpha = .05 level. a. No, the calculated F value was not larger than the critical F value; results were not statistically significant and fail to reject the null hypothesis. b. Yes, the calculated F value was not larger than the critical F value; results were not statistically significant and fail to reject the null hypothesis. c. Yes, the calculated F value was larger than the critical F value; results were statistically significant and to reject the null hypothesis. d. It is impossible to make a decision about H0 without more information. e. Yes, the calculated F value was not larger than the critical F value; results were statistically significant and to reject the null hypothesis. f. No, the calculated F value was larger than the critical F value; results were statistically significant and to reject the null hypothesis. g. No, the calculated F value was not larger than the critical F value; results were statistically significant and to reject the null hypothesis
“A researcher wants to examine the effects of siblings on the amount of annual salary people earned when they are 35 years old. Salary data of three groups of 35-year olds were collected and are presented here. 4 participants with no sibling while growing up (n1 = 4): 50K, 51K, 49K, 50K. 5 participants with 1 to 2 siblings while growing up (n2 = 5): 55K, 56K, 54K, 58K, 52K. 4 participants with 3 and more siblings while growing up (n3 = 4): 60K, 60K, 70K, 50K. The researcher calculated: ∑x2 = 39747, G2/N = 39325, ∑T2/n = 39525.” Do the data indicate significant differences among the three groups of 35-year olds? Test at the alpha = .05 level.
| a. |
No, the calculated F value was not larger than the critical F value; results were not statistically significant and fail to reject the null hypothesis. |
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| b. |
Yes, the calculated F value was not larger than the critical F value; results were not statistically significant and fail to reject the null hypothesis. |
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| c. |
Yes, the calculated F value was larger than the critical F value; results were statistically significant and to reject the null hypothesis. |
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| d. |
It is impossible to make a decision about H0 without more information. |
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| e. |
Yes, the calculated F value was not larger than the critical F value; results were statistically significant and to reject the null hypothesis. |
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| f. |
No, the calculated F value was larger than the critical F value; results were statistically significant and to reject the null hypothesis. |
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| g. |
No, the calculated F value was not larger than the critical F value; results were statistically significant and to reject the null hypothesis |
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