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Math 201 Practice Midterm I

# Math 201 Practice Midterm I - M ath 201 P ractice M idterm...

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Math 201 Practice Midterm I Please work out each of the given problems. Credit will be based on the steps that you show towards the final answer. Show your work. Printable Key Problem 1 Categorize these measurements associated with Lake Tahoe according to level: nominal, ordinal, interval, or ratio. A. The depth of clarity of the lake. B. The time at which the first boat passes through from the Keys. C. The type of fish that is the first to be caught in the morning. Solution Problem 2 You are interested in finding out the average number of classes that students take at LTCC. Since you can't find out this information for every student, you have all instructors who teach at 10:00 AM to survey all of their classes. A. Is this a random sample? Explain your reasoning. B. What type of sampling is this? Solution Problem 3 A. You did research to determine the number of snow boarders who rode Sierra each Wednesday in January. You came up with the following data. Week 1 2 3 4 No. of Boarders 800 600 400 900 Construct a time plot and a bar chart for this data. Solution Problem 4 You are interested in the distribution of tree size in the Lake Tahoe basin. You take a random sample of 24 trees and measure their diameters (in inches). Below is the data that you collected. 0 3 4 4 6 7 8 8 9 10 10 10 11 12 14 16 17 19 24 24 29 30 34 39 A. Make a frequency table and histogram for this data. Use 4 class intervals Solution

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B. Make a Stem and Leaf Display of this data. Solution C. Describe the distribution of the data using the language of statistics. Solution D. If a 25th tree was found to have a diameter of 48 inches would the standard deviation increase or decrease. (Answer this without calculating) Solution E. In what percentile is the tree that has a diameter of 7 inches? Solution Problem 5 Four students were asked to rate their statistics course on a scale of one to ten. The results were 3 3 8 10 Find the mean, median, mode, and standard deviation. Solution Problem 6 Who visits Lake Tahoe. Last weekend, 1000 people were observed entering the basin. Their age distributions are given below. Age 0 - 29 30 - 59 60 - 89 Number of Visitors 500 300 200 Estimate the mean and standard deviation for the age of the visitors. Solution Problem 7 Last year, 2,000,000 Kokanee Salmon hatched in Taylor Creek. Of those, only 20,000 reached to one year. 12,000 of the survivors were female. A. What is the estimated probability that a hatched egg will live for at least one year? Solution B. What is the estimated probability that a Kokanee that lives to one year will be female? Solution C. What is the estimated probability that a hatched egg will live for at least one year and will be female?
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Math 201 Practice Midterm I - M ath 201 P ractice M idterm...

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