QUESTION 11 An online stock trading company makes part of their revenue from clients when the clients trade stocks therefore, it is important to the company to have an good idea of how many trades its clients are making in a given year. In a sample of 120 clients of an online stock trading company, the average number of trades per year was 82 with a standard deviation of 16. If you were to test the hypothesis that the average number of trades per year is different than the previous year when the average number of trades was 85 (using the 5% level of significance), what is p-value for this test? (please round your answer to 4 decimal places) QUESTION 12 Suppose the following data show the prices of 4 cars with similar characteristics that sold at a recent auction (in thousands of dollars): 5.8, 11.2, 10.2, 11.8. Calculate the mean selling price of the sample. (please express your answer using 2 decimal places) QUESTION 13 The probability distribution for damage claims paid by the Newton Automobile Insurance Company on collision insurance is shown as follows: there is a 67% chance there won't be a claim ($0), a 14% chance of a $1100 claim, a 6% chance of a $2800 claim, and otherwise, the claim will be $9000. What is the expected value of an insurance claim for this company? (please express your answer using 2 decimal places) QUESTION 14 The following data show the interest rates on 4 randomly chosen personal loans (in percents): 5.7, 7.9, 13.1. 8.7. Calculate the standard deviation of the sample of interest rates. (please express your answer using 2 decimal places)