Question

The following descriptive statistics are calculated from SPSS. Use them to calculate the test statistic.

Group Statistics | Gender | N | Mean | Std. Deviation | Std. Error Mean |

Memory | Male | 14 | 8.2857 | 3.81149 | 1.01866 |

Memory | Female | 14 | 4.7857 | 1.31140 | .35049 |

1. What is the calculated test statistic?

A. 1.228

B. 3.017

C. 3.249

D. 5.786

2.

What is the correct conclusion?

A. Males are not significantly better than females at memory recall (p<.05)

B. Males are significantly better than females at memory recall (p<.05)

C. Males are not significantly better than females at memory recall (p>.05)

D. Males are significantly better than females at memory recall (p>.05)

Answer #1

Two-Sample T-Test and CI

Method

μ₁: mean of males |

µ₂: mean of Females |

Difference: μ₁ - µ₂ |

Equal variances are not assumed for this analysis.

Descriptive Statistics

Sample | N | Mean | StDev | SE Mean |

Males | 14 | 8.29 | 3.81 | 1.0 |

females | 14 | 4.79 | 1.31 | 0.35 |

Test

Null hypothesis | H₀: μ₁ - µ₂ = 0 |

Alternative hypothesis | H₁: μ₁ - µ₂ > 0 |

test statistic = t =

by substituting the values we get t = 3.249

degrees of freedom =

by substituting the values we get df = 14

p-value = 0.003

conclusion

since p-value is less than 0.05 we reject null hypothesis and conclude that Males are significantly better than females at memory recall (p<.05) .

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