There is some evidence that, in the years 1981 – 85, a simple name change resulted in a short-term increase in the price of certain business firms' stocks (relative to the prices of similar stocks). (See D. Horsky and P. Swyngedouw, "Does it pay to change your company's name? A stock market perspective," Marketing Science v.6, pp. 320 – 35, 1987.) Suppose that, to test the profitability of name changes in the more recent market (the past five years), we analyze the stock prices of a large sample of corporations shortly after they changed names, and we find that the mean relative increase in stock price was about 0.76%, with a standard deviation of 0.14%. Suppose that this mean and standard deviation apply to the population of all companies that changed names during the past five years. Complete the following statements about the distribution of relative increases in stock price for all companies that changed names during the past five years. (a) According to Chebyshev's theorem, at least (Choose one) ▼ of the relative increases in stock price lie between 0.48% and 1.04%. (b) According to Chebyshev's theorem, at least 36% of the relative increases in stock price lie between % and %. (Round your answer to 2 decimal places.)

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A college would like to estimate the proportion of its students that work full-time while going to school. A researcher at the college found that 160 students out of a random sample of 423 students worked full-time while going to school. Determine the point estimate, p^ and the sample standard deviation, sˆp^. Round the sample proportion to four decimal places and round the standard deviation to six decimal places, if necessary. p^= sp^= Using a 96% confidence level, determine the margin of error, E, and a confidence interval for the proportion of all students at the college who work full-time while going to school. Report the confidence interval using interval notation. Round solutions to four decimal places, if necessary. The margin of error is given by E= A 96% confidence interval is given by

Please answer question in HANDWRITING

What percent of students earned a passing grade of 70 or higher? TEST SCORES: 50,60,61,63,66,67,73,82,89,92

When taking a 27 question multiple choice test, where each question has five possible answers, it would be unusual to get  or more questions correct by guessing alone. Use the Range Rule of Thumb for Unusual Values to answer this question. Give your answer above as a whole number.

Evaluate

The mean of three numbers is 14. Two of the numbers are 10 and 6. What is the third number?

Brock rides his bike 22 1/8 miles to the nature preserve. On his way home, after 16 1/5 miles, he stops at a deli for lunch. How far is Brock from home?