QUESTION 7 The table below gives beverage preferences for random samples of teens and adults. We are asked to test for independence between age and drink preferences. Let A be the random variable representing age with A1 = Teens and A2 = Adults; and B be the random variable representing drink preferences with B1 = coffee, B2 = Tea, B3 = Soft drink, and B4 = others. Teens Adults Total Coffee 50 200 250 Tea 100 150 250 Soft Drink 200 200 400 Other 50 50 100 Total 400 600 1000 The observed value of the test statistic is . (round to the nearest tenth) The degrees of freedom are 3 QUESTION 8 The table below gives beverage preferences for random samples of teens and adults. We are asked to test for independence between age and drink preferences. Let A be the random variable representing age with A1 = Teens and A2 = Adults; and B be the random variable representing drink preferences with B1 = coffee, B2 = Tea, B3 = Soft drink, and B4 = others. Teens Adults Total Coffee 50 200 250 Tea 100 150 250 Soft Drink 200 200 400 Other 50 50 100 Total 400 600 1000 The p-value of this hypothesis test is X10^ . (A is a number between 1 and 9; round to the nearest tenth for A. B is a negative integer for Bth power of 10) If the significance level is 0.01, the critical value of the test statistic is . (round to the nearest tenth)

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2. The grade-point averages of 10 college seniors selected at random from a graduating class are as follows: χ 3.2 2.9 1.8 3.2 1.9 3.8 2.5 2.3 2.7 3.0 x² Calculate the standard deviation using: If S2 is the variance of a random sample of size n, we may write 1 S2 = n(n - 1) n Σ Xi •£*-(£×)] n ΣΧ i=1 i=1