1.
Given the following contingency table, conduct a test forindependence at the 1% significance level. (You may find ituseful to reference the appropriate table: chi-square table or Ftable)
| Variable A |
| Variable B | | 1 | | 2 | |
| 1 | | 31 | | 32 | |
| 2 | | 34 | | 58 | |
|
Calculate the value of the test statistic. (Roundintermediate calculations to at least 4 decimal places and finalanswer to 3 decimal places.)
2.
A market researcher for an automobile company suspectsdifferences in preferred color between male and female buyers.Advertisements targeted to different groups should take suchdifferences into account if they exist. The researcher examines themost recent sales information of a particular car that comes inthree colors. (You may find it useful to reference theappropriate table: chi-square table or F table)
| Sex of Automobile Buyer |
| Color | Male | Female |
| Silver | 477 | 298 |
| Black | 536 | 308 |
| Red | 482 | 348 |
|
Calculate the value of the test statistic. (Round theintermediate calculations to at least 4 decimal places and finalanswer to 3 decimal places.)
3.
Consider the following sample data with mean and standarddeviation of 20.1 and 7.3, respectively. (You may find ituseful to reference the appropriate table: chi-square table or Ftable)
| Class | | Frequency |
| Less than 10 | | | 27 | |
| 10 up to 20 | | | 80 | |
| 20 up to 30 | | | 60 | |
| 30 or more | | | 21 | |
| | n = 188 |
|
Calculate the value of the test statistic. (Round thez value to 2 decimal places, all other intermediate valuesto at least 4 decimal places and final answer to 3 decimalplaces.)
