Answer the following questions:

1. Green Coffee revealed that the ratio of customers who purchase different coffee-based drinks: caramel macchiato, cafe latte, brewed coffee, and cafe americano, is 3:12:10:4. If 800 coffee-based drinks were sold in a day, how many brewed coffee drinks are expected to be sold? 2. A cupcake store manager believes that half of the cupcakes sold are chocolate and that the other half is equally divided between vanilla and cherry. If the manager's belief is correct and 500 cupcakes are sold, how many would you expect to be cherry cupcakes? 3. Which of the following describes the Chi-square test statistic? a. The sum of standardized squared deviations of the expectations from the actual data. b. The number of standard error deviations of the actual observed data from the mean, C. The ratio of the variation of the expectations to the variation of the actual observed data. d. The mean squared deviations of the actual observed data from the mean. 4. When the expected frequencies are less than 5 for a specific class, what should be done so that you can use the goodness-of-fit test? a. The class with less than 5 frequencies should be combined with other class. b. Remove the class with frequencies less than 5. C. Gather more data until each class will contain at least 5 frequencies. d None of the above. 5. The chi-square distribution can be used for the following except for? frequency distribution fitting a specific pattern b. finding a confidence interval for a variance C. testing a hypothesis about a standard deviation d. testing a hypothesis about a mean 6. Which of the following conclusions will be followed whenever the chi-square statistic is greater than the critical value for a test of independence? a. The row variable is independent from the column variable. b. The two variables are not related. C. The two variables are related. d The row variable is not dependent on the column variable. 7. In a test for independence, what happens to the value of the test statistic as the observed frequencies become increasingly different from the expected frequencies? a. The test statistic increases. b. The test statistic is not affected. C. It depends whether the observed frequencies were greater or lesser than the expected frequencies. d. The test statistic decreases. 8. A test for independence is always conducted as a a. Two-tailed test b. Right -tailed test C. Either test d. Left -tailed test