Review: Manual Calculation

Question 1

After many yuears of work, a political scientist has noted that political science majors seem more sophisticated, charming, and cosmopolitan than the rest of the student body. A "Sophistication Scale" test has been administered to the entire student body and to a random sample of 100 political science majors, and these results have been obtained:

Student Body: Average=17.3, Standard deviation=7.4

Political science majors: Average=19.2, N=100

Test and find out whether or not political science majors are more sophisticated.

Qestion 2

A random sample of 26 local political science graduates scored an average of 458 on the GRE advanced political science test with a standard deviation of 20. Is this significantly different from the national average of 440?

Question 3

One hundred individuals have been categorized by gender and height, and the reslts are displayed in the table below.

Male | Female | Totals | |

Tall | 44 | 8 | 52 |

Short | 6 | 42 | 48 |

Totals | 50 | 50 | 100 |

a. Calculate an appropriate measure of association. What would you conclude from the statistic?

b. Test the relationship. What would you conclude after testing the relationship?

Question 4

1. Use the following table and calculate an appropriate measure of association and test the relationship.

2. Regression: Calculate the slope and the intercept coefficients.

x | y |

7 | 15 |

6 | 13 |

5 | 3 |

4 | 8 |

6 | 4 |

Question 5

Scores on a quiz were normally distributed and had a mean of 10 and a standard deviation of 3. For each score below, find the Z score and the percentage of area above and below the score.

Xi | Z score | % area above | % area below |

5 | |||

12 | |||

18 |