Test 1 Review Sheet

Note: Our exam will be held at Boyd 220. Make sure you know how to use a ti-83. This will be the only calculator you will be allowed to use during the test. When you enter the room, place all your belongings along the chalkboard. The only thing you’ll need at your desk is something to write with.

Key Terms: You should know the boldface definitions in all our worksheets so far. These are most likely going to show up as your multiple choice questions on your test.

Qualitative data Mean Boxplot Standard Deviation Quantitative data Median Population Percentile Histogram Mode Undercoverage Normal Curve Outlier Range Convenience Sample Normal Distribution Skewed Left First Quartile (Q1) Voluntary Response Empirical Formula Skewed Right Third Quartile (Q3) Nonresponse Symmetric Five Number Summary Simple Random Sample

Computations: You should be able to also do computations on your exam.

Given a set of data, you should be able to: 1. Draw a histogram and a stem plot. 2. Compute its Mean, Median, Mode, and Range. 3. Determine which measure of centrality is most applicable. 4. Compute its five number summary and boxplot. 5. Determine the percentile of each entry.

You should also be able to compute how the mean, median, mode, and range change if an additional entry is introduced.

Given a normal distribution, be able to apply the Empirical Formula on the distribution to determine the range of values that are within one, two, and three standard deviations of the mean. You should also be able to use the Empirical Formula to apply to a normalized curve. (i.e. Grading on a Curve.)

You should be able to use a table of random values to obtain a simple random sample.

Suggested Book Problems:

1. You look at real estate ads for houses in Sarasota, Fl.. There are many houses ranging from 200K to 400K in price. The few houses on the water, however, have prices up to $15 million. The distribution of house prices will be: a. skewed left b. skewed left c. symmetric. 2. If a single peaked distribution is skewed to the left, then the median is generally to the ______of the mean. a. left of the mean. b. right of the mean. 3. The scale of scores on an IQ test is approximately normal with mean 100 and standard deviation 15. The organization MENSA, which calls itself “the high IQ society”, requires an IQ score of 130 or higher for membership. What percentage of adults would qualify for membership? 4. The length of human pregnancies from conception to birth varies according to a distribution that is approximately normal with mean 266 days and standard deviation 16 days. We can expect that about _____% of all completed pregnancies are between 234 and 298 days. 5. Use the data below to answer the following questions: 101 103 109 115 126 126 129 137 137 140 148 152 154 154 165 165 178 200 a. Use your calculator to compute the mean and median of the data. b. Use your calculator to compute the five number summary of the data. c. Compute the percentiles of the following entries: 1. x = 115 2. x = 152 3. x = 165. 6. You must choose a SRS of five of the 440 retail outlets in New York that sell your company’s products. How would you label this population in order to use a Table of Random Numbers? Use the column below (starting with the first entry) to pick your five entries. 127 | 43909 99477 25330 64359 40085 16925 85117 36071

7. A sample of households in a community is selected at random from the telephone directory. In this community, 4% of households have no telephone and another 55% have unlisted telephone numbers. The sample will be a bad sample because of: a. Undercoverage. b. Bias. c. Nonresponse. d. Voluntary Response.