all Verizon 5:15 PM -/0.64 points was MintboStat9 13.E.045 My Notes O Ask Your o
ID: 3350218 • Letter: A
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all Verizon 5:15 PM -/0.64 points was MintboStat9 13.E.045 My Notes O Ask Your o left-handed people live shorter lives than right-handed people? A study of this question examined a sample of 949 death -ecords and contacted next of kin to determine handedness. Note that there are many possible definitions of-left-handed." The esearchers examined the effects of different definitions on the results of their analysis and found that their conclusions were not pensitive to the exact definition used. For the results presented here, people were defined to be right-handed if they wrote, drew and threw a ball with the right hand. All others were defined to be left-handed. People were classified by sex (female or male) and andedness (left or right), and a 2 x 2 ANOVA was run with the age at death as the response variable. The F statistics were 22.36 (handedness), 37.44 (sex), and 2.10 (interaction). The following marginal mean ages at death (in years) were reported: 77.39 (females), 71.32 (males), 75.00 (right-handed), and 66.03 (left handed) (a) For each of the F statistics given, find the degrees of freedom and an approximate P-value. Summarize the results of these tests. This answer has not been graded yelt (b) Using the information given, write a short summary of the results of the study This answer has not been graded yet My Notes Ask Your A study of undergraduate computer science students examined changes in major after the first year. The study examined the fates of 256 students who enrolled as first-year students in the same fall semester. The students were classified according to gender and their declared major at the beginning of the second year. For convenience we use the labels CS for computer science majors, EO for engineering and other science majors, and O for other majors. The explanatory variables included several high school grade summaries coded as 10·A, 9 A-, etc. Here are the mean high school mathematics grades for these students. Major 688.35 7.65 Describe the main effects and interaction using appropriate graphs and calculations. This answer has not been graded yet eBookExplanation / Answer
Q14 (a)
Degrees of Freedom
Total: total number of observations – 1 = 949 – 1 = 948.
Handedness: number of comparisons (left vs right) – 1 = 2 – 1 = 1
Sex: number of comparisons (male vs famale) – 1 = 2 – 1 = 1
Between cells: Number of classifications (2 Handedness x 2 Sex) – 1 = 4 – 1 = 3
Interaction: Between DF – Handedness DF – Sex DF = 3 – 1 – 1 = 1
Error (Residual): Total DF – Between DF = 948 – 3 = 945.
Thus degrees of freedom for F are:
Handedness: (1, 945) ANSWER 1
Sex: (1, 945) ANSWER 2
Interaction: (1, 945) ANSWER 3
p-value
Given F(Handedness) = 22.36, F(Sex) = 37.44 and F(Interaction) = 2.10
p-values are:
Handedness: P(F1.945 > 22.36): 2.6 E - 06ANSWER 4
Sex: P(F1.945 > 37.44): 1.38 E – 09 ANSWER 5
Interaction: P(F1.945 > 2.10): 0.147631 ANSWER 6
Q 14 (b)
The p-value is very small (much smaller than even 1% level of significance) for handedness and sex implying that
a) right-handed people live longer than left-handed people
b) female members live longer than male members.
The p-value for Interaction is much greater (greater than even 10% level of significance) implying that handeness-sex interaction does not impact age at death.
DONE
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