b. Suppose that the true proportion of customers who cannot distinguish between these flavors is 0.20. If a random sample of 100 customers is selected, what is the probability of a Type II error?

6. Information regarding the starting salaries (in $1000) of samples of students in four different majors is given below.(15%) Majors | | Management | Marketing | Finance | Accounting | | --- | --- | --- | --- | --- | | Sample size | 12 | 10 | 9 | 14 | | Average | 26 | 31 | 22 | 25 | | Sample variance | 10 | 7 | 15 | 9 | a. Formulate the hypotheses to determine whether there is a significant difference in the means of the four populations.

b. Set up the ANOVA table for this problem including the test statistic.

c. What is your conclusion at the \(5\%\) level of significance?

7. Shown below is a portion of the computer output for a regression analysis relating sales ($y$ in millions of dollars) and advertising expenditure ($x$ in thousands of dollars).(12%) | Predictor | Coefficient | Standard Error | | --- | --- | --- | | Constant | 4.00 | 0.800 | | x | 0.12 | 0.045 | ANOVA | | df | SS | | --- | --- | --- | | Regression | 1 | 1400 | | Error | 18 | 3600 | a. What has been the sample size for the above regression analysis?

b. Perform a t test and determine whether or not advertising and sales are related. Let \( \alpha = .05 \).

c. Compute the coefficient of determination and interpret the meaning of the value of the coefficient of determination that you found in Part c. Be very specific.

d. Use the estimated regression equation and predict sales for an advertising expenditure of $4000. Give your answer in dollars.

8. An insurance company has gathered the following information regarding the number of accidents reported per day over a period of 100 days.(12%) | Accidents Per Day | Number of Days (f) | | --- | --- | | 0 | 5 | | 1 | 18 | | 2 | 25 | | 3 | 24 | | 4 | 20 | | 5 or more | 8 | Using the critical value approach, test to see if the above data have a Poisson distribution. Let $\alpha = .05$.

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