Answer all questions with explanation

Suppose you are interested in buying a new Lincoln Navigator or Town Car. You are standing on the sales lot looking at a model with different options. The list price is on the vehicle. As a salesperson approaches, you wonder what the dealer invoice price is for this model with its options. The following data are based on a random selection of these cars of different models and options. Let y be the dealer invoice (in thousands of dollars) for the given vehicle. X 31.8 32.5 36.1 44.0 47.8 30.4 30.2 32.0 42.1 42.2 (a) Verify that Ex = 192.2, Ey = 176.9, Ex2 = 7591.54, Ey? = 6413.45, Exy = 6972.98, and / & 0.975. EX Ey Ex2 EV EXy (b) Use a 1% level of significance to test the claim that p > 0. (Use 2 decimal places.) critical t Conclusion O Reject the null hypothesis, there is sufficient evidence that p > 0. O Reject the null hypothesis, there is insufficient evidence that p > 0. O Fail to reject the null hypothesis, there is insufficient evidence that p > 0. O Fail to reject the null hypothesis, there is sufficient evidence that p > 0. (c) Verify that Se ~ 1.5979, a ~ 2.6913, and b ~ 0.8504. Se (d) Find the predicted dealer invoice when the list price is x = 33 (thousand dollars). (Use 2 decimal places.)(d) Find the predicted dealer invoice when the list price is x = 33 (thousand dollars). (Use 2 decimal places.) (e) Find a 99% confidence interval for y when x = 33 (thousand dollars). (Use 2 decimal place.) lower limit upper limit (f) Use a 1% level of significance to test the claim that B > 0. (Use 2 decimal places.) critical t Conclusion O Reject the null hypothesis, there is sufficient evidence that B > 0. O Reject the null hypothesis, there is insufficient evidence that B > 0. O Fail to reject the null hypothesis, there is insufficient evidence that B > 0. O Fail to reject the null hypothesis, there is sufficient evidence that B > 0. (g) Find a 99% confidence interval for B and interpret its meaning. (Use 3 decimal places.) lower limit upper limit Interpretation O For every $1,000 increase in list price, the dealer price decreases by an amount that falls outside the confidence interval. O For every $1,000 increase in list price, the dealer price decreases by an amount that falls within the confidence interval. O For every $1,000 increase in list price, the dealer price increases by an amount that falls outside the confidence interval. O For every $1,000 increase in list price, the dealer price increases by an amount that falls within the confidence interval