A gambler complained about the dice. They seemed to be loaded! The dice were taken off the table and tested one at a time. One die was rolled 300 times and the following frequencies were recorded. Outcome Observed frequency O 2 4 62 49 63 33 43 50 Do these data indicate that the die is unbalanced? Use a 1% level of significance. Hint: If the die is balanced, all outcomes should have the same expected frequency. (a) What is the level of significance?

You intend to conduct a goodness-of-fit test for a multinomial distribution with 6 categories. You collect data from 53 subjects. What are the degrees of freedom for the x distribution for this test? d.f. = %3D

You intend to conduct a goodness-of-fit test for a multinomial distribution with 5 categories. You collect data from 71 subjects. What are the degrees of freedom for the x² distribution for this test? d.f. = 85

A psychologist would like to know whether the season (autumn, winter, spring, and summer) has any consistent effect on people's sexual activity. In the middle of each season, a psychologist selects a random sample of 22 students. Each individual is given a sexual activity questionnaire. A one-factor ANOVA was used to analyze these data. Complete the following ANOVA summary table (a = 0.02). Round your answers to three decimal places, if necessary. Source Between Within Total SS 867.72 df MS F 2.98 P-value