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107F07_MT2

# 107F07_MT2 - Math 107 Midterm II In Class Portion 1 We are...

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Math 107 Midterm II - In Class Portion 1. We are interested in estimating the proportion of free throws a certain NBA player makes. We would like to estimate that proportion to within .02 with 95 percent confidence. a. How many samples do we need to collect? b. Suppose we know that the player is no worse than an 80 percent free throw shooter. Knowing this information, improve the bound you found in a). (We used .5 for π as that value gives you back the largest value that π (1 - π ) can take on. Knowing something more about π , what is the largest value π (1 - π ) can take on? Use this in your calculation) 2. A random sample of 20 classrooms over many years at Connecticut College found an average of 7 usable pieces of chalk with a standard deviation of 5. a. What is the probable shape of the distribution of number of pieces of chalk in the population: symmetric, skewed left or skewed right, why? b. Compute a 95 percent confidence interval for μ , the average number of pieces of usable chalk in a classroom.

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