In a test of the hypothesis that females smile at others more than males do, females and males were videotaped while interacting and the number of smiles emitted by each sex was noted. Using the following information regarding number of smiles in the five-minute interaction, examine whether there are sex differences in the number of smiles.  Males                                       Females N1 = 5                                      N2 = 5 X1 = 7.6                                   X2 = 15.2 S12 = 17.04                              S22 = 8.96 Which is the independent variable and which is the dependent variable? What is your research hypothesis? What is your null hypothesis? Which test should you use (Two Sample Independent t, ANOVA, Chi-square, or correlation )? Calculate the test statistic. interpret whether you have statistically significant results when α = .05. State whether the null hypothesis is rejected. Include critical region. Provide an overall sentence about the conclusion reached.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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In a test of the hypothesis that females smile at others more than males do, females and males were videotaped while interacting and the number of smiles emitted by each sex was noted. Using the following information regarding number of smiles in the five-minute interaction, examine whether there are sex differences in the number of smiles. 

Males                                       Females

N1 = 5                                      N2 = 5

X1 = 7.6                                   X2 = 15.2

S12 = 17.04                              S22 = 8.96

  • Which is the independent variable and which is the dependent variable?
  • What is your research hypothesis?
  • What is your null hypothesis?
  • Which test should you use (Two Sample Independent t, ANOVA, Chi-square, or correlation )?
  • Calculate the test statistic.
  • interpret whether you have statistically significant results when α = .05.
    1. State whether the null hypothesis is rejected. Include critical region.
    2. Provide an overall sentence about the conclusion reached.
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